تكلم مع الذكاء الاصطناعي
Deck 10: Preparing for Your Math Final
ملء الشاشة (f)
سؤال
Choose the one alternative that best completes the statement or answers the question.
Solve the equation by the zero-factor property.
-
= 9
A) { 3}
B) {4}
C) {-3, 3}
D) {-4.5, 4.5}
Solve the equation by the zero-factor property.
-
= 9A) { 3}
B) {4}
C) {-3, 3}
D) {-4.5, 4.5}
سؤال
Choose the one alternative that best completes the statement or answers the question.
Solve the equation by the zero-factor property.
-
+ 5 = 41
A) { 6}
B) { 20.5}
C) {-6, 6}
D) {-5, 5}
Solve the equation by the zero-factor property.
-
+ 5 = 41A) { 6}
B) { 20.5}
C) {-6, 6}
D) {-5, 5}
سؤال
Choose the one alternative that best completes the statement or answers the question.
Solve the equation by the zero-factor property.
-4
+ 5 = 789
A) {-14, 14}
B) { 14}
C) { 394.5}
D) {-15, 15}
Solve the equation by the zero-factor property.
-4
+ 5 = 789A) {-14, 14}
B) { 14}
C) { 394.5}
D) {-15, 15}
سؤال
Solve the equation by using the square root property. Simplify all radicals.
-
= 19
A)
B) { 361}
C) {±9.5}
D) { ±
}
-
= 19A)
B) { 361}
C) {±9.5}
D) { ±
} سؤال
Solve the equation by using the square root property. Simplify all radicals.
-
= 54
A) { 18}
B) 6
C) ±6
D) ±3
-
= 54A) { 18}
B) 6
C) ±6
D) ±3
سؤال
Solve the equation by using the square root property. Simplify all radicals.
-
= -121
A)
B) {-11}
C) {-60.5}
D) {± 11}
-
= -121A)
B) {-11}
C) {-60.5}
D) {± 11}
سؤال
Solve the equation by using the square root property. Simplify all radicals.
-
= 
A)
B)
C)
D)
-
= A)
B)
C)
D)
سؤال
Solve the equation by using the square root property. Simplify all radicals.
-
- 13 = 0
A) ±
B)
C) {±6.5}
D) { 169}
-
- 13 = 0A) ±
B)
C) {±6.5}
D) { 169}
سؤال
Solve the equation by using the square root property. Simplify all radicals.
-
= 30. 25
A) {± 5.5}
B)
C) {5.5}
D) {± 6.25}
-
= 30. 25A) {± 5.5}
B)
C) {5.5}
D) {± 6.25}
سؤال
Solve the equation by using the square root property. Simplify all radicals.
-7
= 2
A)
B)
C)
D)
-7
= 2A)
B)
C)
D)
سؤال
Solve the equation by using the square root property. Simplify all radicals.
-3
= 33
A) { 12}
B) { 16.5}
C) ±
D) {± 11}
-3
= 33A) { 12}
B) { 16.5}
C) ±
D) {± 11}
سؤال
Solve the equation by using the square root property. Simplify all radicals.
-3
= 49
A)
B)
C)
D)
-3
= 49A)
B)
C)
D)
سؤال
Solve the equation. Express radicals in simplest form.
-3
- 432 = 0
A) { 12}
B) {± 12}
C) {± 13}
D) { 217.5}
-3
- 432 = 0A) { 12}
B) {± 12}
C) {± 13}
D) { 217.5}
سؤال
Solve the equation. Express radicals in simplest form.
-
+ 2 = 146
A) {-11, 11}
B) { 73}
C) { 12}
D) {-12, 12}
-
+ 2 = 146A) {-11, 11}
B) { 73}
C) { 12}
D) {-12, 12}
سؤال
Solve the equation. Express radicals in simplest form.
-2
- 56 = 0
A) 7
B) 4
C) ± 4
D) ± 2
-2
- 56 = 0A) 7
B) 4
C) ± 4
D) ± 2
سؤال
Solve the equation. Express radicals in simplest form.
-3
+ 2 = 509
A) { 254.5}
B) {-13, 13}
C) { 13}
D) {-14, 14}
-3
+ 2 = 509A) { 254.5}
B) {-13, 13}
C) { 13}
D) {-14, 14}
سؤال
Solve the equation. Express radicals in simplest form.
--7
- 15 = -267
A) { 6}
B) {-6, 6}
C) { -133.5}
D) {-12, 12}
--7
- 15 = -267A) { 6}
B) {-6, 6}
C) { -133.5}
D) {-12, 12}
سؤال
Solve the equation. Express radicals in simplest form.
-3
- 6 = 58
A) { -11, 5}
B)
C)
D)
-3
- 6 = 58A) { -11, 5}
B)
C)
D)
سؤال
Solve the equation. Express radicals in simplest form.
-4
- 3 = 4
A)
B)
C)
D) { -9, 5}
-4
- 3 = 4A)
B)
C)
D) { -9, 5}
سؤال
سؤال
Solve the equation. Express radicals in simplest form.
-(r + 6)2 = 11
A) {
, 
}
B) {-6 +
, -6 - 
}
C) { 5}
D) { 6 +
, 6 - 
}
-(r + 6)2 = 11
A) {
, }B) {-6 +
, -6 - }C) { 5}
D) { 6 +
, 6 - } سؤال
Solve the equation. Express radicals in simplest form.
-(t + 4)2 = -14
A) {-4 +
, -4 - 
}
B) { 10}
C) { 4 +
, 4 - 
}
D)
-(t + 4)2 = -14
A) {-4 +
, -4 - }B) { 10}
C) { 4 +
, 4 - }D)
سؤال
Solve the equation. Express radicals in simplest form.
-(x - 6)2 = 40
A) ± 2
B) { ± 6
C) 6 ± 2
D) 6 ± 2
-(x - 6)2 = 40
A) ± 2
B) { ± 6
C) 6 ± 2
D) 6 ± 2
سؤال
سؤال
سؤال
Solve the equation. Express radicals in simplest form.
-
= 23
A)
B)
C)
D)
-
= 23A)
B)
C)
D)
سؤال
Solve the equation. Express radicals in simplest form.
-(3x + 6)2 = 28
A)
B)
C)
D)
-(3x + 6)2 = 28
A)
B)
C)
D)
سؤال
Solve the equation. Express radicals in simplest form.
-( 5
- 80 = 0
A)
B)
C)
D)
-( 5
- 80 = 0A)
B)
C)
D)
سؤال
Solve the equation. Express radicals in simplest form.
-
= 125
A) { -16 + 10
, -16 - 10 
}
B) { 10
- 16 , 10 
+ 16}
C) {
, 
}
D) { 16 + 10
, 16 - 10 
}
-
= 125A) { -16 + 10
, -16 - 10 }B) { 10
- 16 , 10 + 16}C) {
, }D) { 16 + 10
, 16 - 10 } سؤال
سؤال
سؤال
سؤال
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-If P dollars is invested in an account at an annual interest rate of r, with interest compounded annually, after 2 years the amount A in the account is given by A = P
. Use this formula to determine the interest rate if $ 5000 grows to $ 5618 in 2 years, with interest compounded annually.
A) 1.12%
B) 1.06%
C) 0.06%
D) 6%
-If P dollars is invested in an account at an annual interest rate of r, with interest compounded annually, after 2 years the amount A in the account is given by A = P
. Use this formula to determine the interest rate if $ 5000 grows to $ 5618 in 2 years, with interest compounded annually.A) 1.12%
B) 1.06%
C) 0.06%
D) 6%
سؤال
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-The area of a circle is found by the equation A =
. If the area A of a certain circle is 9 square centimeters, find its radius r.
A) r = 3 cm
B) r = 3 cm
C) r = 3
cm
D) r = ± 3 cm
-The area of a circle is found by the equation A =
. If the area A of a certain circle is 9 square centimeters, find its radius r.A) r = 3 cm
B) r = 3 cm
C) r = 3
cmD) r = ± 3 cm
سؤال
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-The surface area S of a sphere with radius r is given by the formula
If a sphere has surface area 
square inches, what is its radius?
A) 81 in.
B) 9 in.
C) 9 in.
D) 18 in.
-The surface area S of a sphere with radius r is given by the formula
If a sphere has surface area square inches, what is its radius?A) 81 in.
B) 9 in.
C) 9 in.
D) 18 in.
سؤال
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-A construction worker tosses a scrap piece of lumber from the roof of a building. How long does it take the piece of lumber to reach the ground 81 feet below? Use the formula
where d is the distance (in feet) a freely falling object falls in t seconds. Give your answer as a fraction.
A)
sec
B)
sec
C)
sec
D)
sec
-A construction worker tosses a scrap piece of lumber from the roof of a building. How long does it take the piece of lumber to reach the ground 81 feet below? Use the formula
where d is the distance (in feet) a freely falling object falls in t seconds. Give your answer as a fraction.A)
secB)
secC)
secD)
sec سؤال
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-The distance traveled by a falling object is given by d = 16
, where d is the distance (in feet) the object falls in t seconds. How long would it take an object to fall freely from a bridge 
above the water? Round your answer to the nearest tenth of a second.
A) 12,673,600.0 sec
B) 7.5 sec
C) 119.3 sec
D) 55.6 sec
-The distance traveled by a falling object is given by d = 16
, where d is the distance (in feet) the object falls in t seconds. How long would it take an object to fall freely from a bridge above the water? Round your answer to the nearest tenth of a second.A) 12,673,600.0 sec
B) 7.5 sec
C) 119.3 sec
D) 55.6 sec
سؤال
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-The distance traveled by a falling object is given by d = 16
, where d is the distance (in feet) the object falls in t seconds. A stuntman jumps from a rooftop 330 ft off the ground. How long will it take him, falling freely, to reach the ground? Round your answer to the nearest tenth of a second.
A) 4.5 sec
B) 72.7 sec
C) 10.3 sec
D) 20.6 sec
-The distance traveled by a falling object is given by d = 16
, where d is the distance (in feet) the object falls in t seconds. A stuntman jumps from a rooftop 330 ft off the ground. How long will it take him, falling freely, to reach the ground? Round your answer to the nearest tenth of a second.A) 4.5 sec
B) 72.7 sec
C) 10.3 sec
D) 20.6 sec
سؤال
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-A rock falls from a tower that is 73.5 m high. As it is falling, its height is given by the formula
How many seconds will it take for the rock to hit the ground 
Round to the nearest tenth, if necessary.
A) 1102.5 sec
B) 8.3 sec
C) 8.6 sec
D) 3.9 sec
-A rock falls from a tower that is 73.5 m high. As it is falling, its height is given by the formula
How many seconds will it take for the rock to hit the ground Round to the nearest tenth, if necessary.A) 1102.5 sec
B) 8.3 sec
C) 8.6 sec
D) 3.9 sec
سؤال
سؤال
سؤال
سؤال
سؤال
Decide whether the statement is true or false. If it is false, tell why.
-The equation x2 =
has two irrational solutions.
A) False; the equation has two integer solutions.
B) True
C) False; the equation has two rational solutions that are not integers.
-The equation x2 =
has two irrational solutions.A) False; the equation has two integer solutions.
B) True
C) False; the equation has two rational solutions that are not integers.
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
سؤال
Complete the trinomial so that it is a perfect square.
-
+ 5m +
A)
B)
C)
D)
-
+ 5m +A)
B)
C)
D)
سؤال
Complete the trinomial so that it is a perfect square.
-x2 +
x +
A)
B)
C)
D) 64
-x2 +
x +A)
B)
C)
D) 64
سؤال
Complete the trinomial so that it is a perfect square.
-z2 -
z +
A)
B)
C)
D)
-z2 -
z +A)
B)
C)
D)
سؤال
Complete the trinomial so that it is a perfect square.
-x2 +
x +
A)
B)
C)
D)
-x2 +
x +A)
B)
C)
D)
سؤال
Solve the equation by completing the square.
-a2 - 8a = 20
A) {± }
B) { -18, -2}
C) { -10, 2}
D) { 10, -2}
-a2 - 8a = 20
A) {± }
B) { -18, -2}
C) { -10, 2}
D) { 10, -2}
سؤال
Solve the equation by completing the square.
-
+ 4x - 1 = 0
A) { 3}
B) { 2 ±
}
C) {
± 2}
D) { -2 ±
}
-
+ 4x - 1 = 0A) { 3}
B) { 2 ±
}C) {
± 2}D) { -2 ±
} سؤال
Solve the equation by completing the square.
-x2 + 8x = 3
A) { 4 +
}
B) {-1 ±
}
C) {-4 ± 2
}
D) {-4 ±
}
-x2 + 8x = 3
A) { 4 +
}B) {-1 ±
}C) {-4 ± 2
}D) {-4 ±
} سؤال
Solve the equation by completing the square.
-z2 + 18z + 60 = 0
A) { 9 +
}
B) {-9 ±
}
C) {-18 +
}
D) { 9 ±
}
-z2 + 18z + 60 = 0
A) { 9 +
}B) {-9 ±
}C) {-18 +
}D) { 9 ±
} سؤال
Solve the equation by completing the square.
-
+ 8x - 24
= 0
A) {2
± 4}
B) {-4 ± 2
}
C) { ± 2
}
D) {-4 ± 2
}
-
+ 8x - 24= 0
A) {2
± 4}B) {-4 ± 2
}C) { ± 2
}D) {-4 ± 2
} سؤال
Solve the equation by completing the square.
-
+ 14x = -5
A) {-7 ± 2
}
B) {-7 ± 2
}
C) {2
± 7}
D) {± 2
}
-
+ 14x = -5A) {-7 ± 2
}B) {-7 ± 2
}C) {2
± 7}D) {± 2
} سؤال
Solve the equation by completing the square.
-x2 + 19 = -12x
A) {-12 +
}
B) { 6 ±
}
C) {-6 ±
}
D) { 6 +
}
-x2 + 19 = -12x
A) {-12 +
}B) { 6 ±
}C) {-6 ±
}D) { 6 +
} سؤال
Solve the equation by completing the square.
-p2 + 3p - 9 = 0
A)
B)
C)
D) {-3 ± 3
}
-p2 + 3p - 9 = 0
A)
B)
C)
D) {-3 ± 3
} سؤال
Solve the equation by completing the square.
-
- 16m + 64 = 0
A) { 16}
B) {± 8}
C) {-8}
D) { 8}
-
- 16m + 64 = 0A) { 16}
B) {± 8}
C) {-8}
D) { 8}
سؤال
Solve the equation by completing the square.
-
+ 16k + 64 = 0
A) {± 8}
B) {-16}
C) { 8}
D) {-8}
-
+ 16k + 64 = 0A) {± 8}
B) {-16}
C) { 8}
D) {-8}
سؤال
Solve the equation by completing the square.
-
+ 2x - 3 = 0
A)
B)
C)
D)
-
+ 2x - 3 = 0A)
B)
C)
D)
سؤال
Solve the equation by completing the square.
-6x2 + 10x + 3 = 0
A)
B)
C)
D)
-6x2 + 10x + 3 = 0
A)
B)
C)
D)
سؤال
Solve the equation by completing the square.
-2
- 2t + 9 = 0
A)
B)
C)
D) ?
-2
- 2t + 9 = 0A)
B)
C)
D) ?
سؤال
Solve the equation by completing the square.
-6x2 + 10x = - 1
A)
B)
C)
D)
-6x2 + 10x = - 1
A)
B)
C)
D)
سؤال
Solve the equation by completing the square.
-(x + 1)(x - 4) = 6
A) {-2 ±
}
B) {-5, 2}
C) { 5 ±
}
D) {-2, 5}
-(x + 1)(x - 4) = 6
A) {-2 ±
}B) {-5, 2}
C) { 5 ±
}D) {-2, 5}
سؤال
Solve the equation by completing the square.
-(x - 9)(x - 1) = 12
A) { -5 -
, -5 + 
}
B) { 5 - 2
, 5 + 2 
}
C) { -5 - 2
, -5 + 2 
}
D) { 5 -
, 5 + 
}
-(x - 9)(x - 1) = 12
A) { -5 -
, -5 + }B) { 5 - 2
, 5 + 2 }C) { -5 - 2
, -5 + 2 }D) { 5 -
, 5 + } سؤال
Solve the equation by completing the square.
-(x + 6)(x - 3) = 3
A)
B)
C)
D)
-(x + 6)(x - 3) = 3
A)
B)
C)
D)
سؤال
Solve the equation by completing the square.
-
+ 2x = -1
A) {-1 ± }
B)
C) {1 ±
}
D) {1, 2}
-
+ 2x = -1A) {-1 ± }
B)
C) {1 ±
}D) {1, 2}
سؤال
Solve the equation by completing the square.
-7
- 2x - 2 = 0
A)
B)
C)
D)
-7
- 2x - 2 = 0A)
B)
C)
D)
سؤال
Solve the equation by completing the square.
-z5 = 2
- 18
A)
B)
C)
D)
-z5 = 2
- 18A)
B)
C)
D)
سؤال
Solve the equation by completing the square.
-16d2 + 32d + 15 = 0
A)
B)
C)
D)
-16d2 + 32d + 15 = 0
A)
B)
C)
D)
سؤال
Solve the equation by completing the square. Then (i) give the exact solutions and (ii) give the solutions rounded to the nearest thousandth.
-x2 = 3 - 8x
A) (i) {-4 ± 2
} (ii) { 4.718}
B) (i) {-4 ±
} (ii) { 0.359, -8.359}
C) (i) {-1 ±
} (ii) { 3.359, -5.359}
D) (i) { 4 +
} (ii) { 8.359}
-x2 = 3 - 8x
A) (i) {-4 ± 2
} (ii) { 4.718}B) (i) {-4 ±
} (ii) { 0.359, -8.359}C) (i) {-1 ±
} (ii) { 3.359, -5.359}D) (i) { 4 +
} (ii) { 8.359} سؤال
Solve the equation by completing the square. Then (i) give the exact solutions and (ii) give the solutions rounded to the nearest thousandth.
-( 9t + 6)2 = 19
A) (i) {-6 ±
} (ii) { -1.641, -10.359}
B) (i)
(ii) { 0.401, -0.401}
C) (i)
(ii) { 1.067}
D) (i)
(ii) { -0.182, -1.151}
-( 9t + 6)2 = 19
A) (i) {-6 ±
} (ii) { -1.641, -10.359}B) (i)
(ii) { 0.401, -0.401}C) (i)
(ii) { 1.067}D) (i)
(ii) { -0.182, -1.151} سؤال
Solve the equation by completing the square. Then (i) give the exact solutions and (ii) give the solutions rounded to the nearest thousandth.
-2
+ 3x = 1 + 5x
A) (i)
(ii) { 0.366, -1.366}
B) (i) {-1 ±
} (ii) { 0.732, -2.732}
C) (i)
(ii) { 1.366, -0.366}
D) (i) { 1 ±
} (ii) { 2.732, -0.732}
-2
+ 3x = 1 + 5xA) (i)
(ii) { 0.366, -1.366}B) (i) {-1 ±
} (ii) { 0.732, -2.732}C) (i)
(ii) { 1.366, -0.366}D) (i) { 1 ±
} (ii) { 2.732, -0.732} سؤال
Solve the problem.
-A ball is thrown vertically upward from the top of a building 96 feet tall with an initial velocity of 80 feet per second. The height, s (in feet), of the ball after t seconds is givenby
After how many seconds does the ball strike the ground?
A) 97 sec
B) 5 sec
C) 6 sec
D) 8 sec
-A ball is thrown vertically upward from the top of a building 96 feet tall with an initial velocity of 80 feet per second. The height, s (in feet), of the ball after t seconds is givenby
After how many seconds does the ball strike the ground?A) 97 sec
B) 5 sec
C) 6 sec
D) 8 sec
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ملء الشاشة (f)
Deck 10: Preparing for Your Math Final
1
Choose the one alternative that best completes the statement or answers the question.
Solve the equation by the zero-factor property.
- = 9
A) { 3}
B) {4}
C) {-3, 3}
D) {-4.5, 4.5}
Solve the equation by the zero-factor property.
-
= 9A) { 3}
B) {4}
C) {-3, 3}
D) {-4.5, 4.5}
{-3, 3}
2
Choose the one alternative that best completes the statement or answers the question.
Solve the equation by the zero-factor property.
- + 5 = 41
A) { 6}
B) { 20.5}
C) {-6, 6}
D) {-5, 5}
Solve the equation by the zero-factor property.
-
+ 5 = 41A) { 6}
B) { 20.5}
C) {-6, 6}
D) {-5, 5}
{-6, 6}
3
Choose the one alternative that best completes the statement or answers the question.
Solve the equation by the zero-factor property.
-4 + 5 = 789
A) {-14, 14}
B) { 14}
C) { 394.5}
D) {-15, 15}
Solve the equation by the zero-factor property.
-4
+ 5 = 789A) {-14, 14}
B) { 14}
C) { 394.5}
D) {-15, 15}
{-14, 14}
4
Solve the equation by using the square root property. Simplify all radicals.
- = 19
A)
B) { 361}
C) {±9.5}
D) { ± }
-
= 19A)
B) { 361}
C) {±9.5}
D) { ±
} فتح الحزمة
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5
Solve the equation by using the square root property. Simplify all radicals.
- = 54
A) { 18}
B) 6
C) ±6
D) ±3
-
= 54A) { 18}
B) 6
C) ±6
D) ±3
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6
Solve the equation by using the square root property. Simplify all radicals.
- = -121
A)
B) {-11}
C) {-60.5}
D) {± 11}
-
= -121A)
B) {-11}
C) {-60.5}
D) {± 11}
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7
Solve the equation by using the square root property. Simplify all radicals.
- =
A)
B)
C)
D)
-
= A)
B)
C)
D)
فتح الحزمة
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8
Solve the equation by using the square root property. Simplify all radicals.
- - 13 = 0
A) ±
B)
C) {±6.5}
D) { 169}
-
- 13 = 0A) ±
B)
C) {±6.5}
D) { 169}
فتح الحزمة
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9
Solve the equation by using the square root property. Simplify all radicals.
- = 30. 25
A) {± 5.5}
B)
C) {5.5}
D) {± 6.25}
-
= 30. 25A) {± 5.5}
B)
C) {5.5}
D) {± 6.25}
فتح الحزمة
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k this deck
10
Solve the equation by using the square root property. Simplify all radicals.
-7 = 2
A)
B)
C)
D)
-7
= 2A)
B)
C)
D)
فتح الحزمة
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11
Solve the equation by using the square root property. Simplify all radicals.
-3 = 33
A) { 12}
B) { 16.5}
C) ±
D) {± 11}
-3
= 33A) { 12}
B) { 16.5}
C) ±
D) {± 11}
فتح الحزمة
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12
Solve the equation by using the square root property. Simplify all radicals.
-3 = 49
A)
B)
C)
D)
-3
= 49A)
B)
C)
D)
فتح الحزمة
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13
Solve the equation. Express radicals in simplest form.
-3 - 432 = 0
A) { 12}
B) {± 12}
C) {± 13}
D) { 217.5}
-3
- 432 = 0A) { 12}
B) {± 12}
C) {± 13}
D) { 217.5}
فتح الحزمة
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14
Solve the equation. Express radicals in simplest form.
- + 2 = 146
A) {-11, 11}
B) { 73}
C) { 12}
D) {-12, 12}
-
+ 2 = 146A) {-11, 11}
B) { 73}
C) { 12}
D) {-12, 12}
فتح الحزمة
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15
Solve the equation. Express radicals in simplest form.
-2 - 56 = 0
A) 7
B) 4
C) ± 4
D) ± 2
-2
- 56 = 0A) 7
B) 4
C) ± 4
D) ± 2
فتح الحزمة
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16
Solve the equation. Express radicals in simplest form.
-3 + 2 = 509
A) { 254.5}
B) {-13, 13}
C) { 13}
D) {-14, 14}
-3
+ 2 = 509A) { 254.5}
B) {-13, 13}
C) { 13}
D) {-14, 14}
فتح الحزمة
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17
Solve the equation. Express radicals in simplest form.
--7 - 15 = -267
A) { 6}
B) {-6, 6}
C) { -133.5}
D) {-12, 12}
--7
- 15 = -267A) { 6}
B) {-6, 6}
C) { -133.5}
D) {-12, 12}
فتح الحزمة
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18
Solve the equation. Express radicals in simplest form.
-3 - 6 = 58
A) { -11, 5}
B)
C)
D)
-3
- 6 = 58A) { -11, 5}
B)
C)
D)
فتح الحزمة
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19
Solve the equation. Express radicals in simplest form.
-4 - 3 = 4
A)
B)
C)
D) { -9, 5}
-4
- 3 = 4A)
B)
C)
D) { -9, 5}
فتح الحزمة
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20
Solve the equation. Express radicals in simplest form.
-(x - 4)2 = 49
A) { 7, -7}
B) { 11, -3}
C) { -3, -11}
D) { 53}
-(x - 4)2 = 49
A) { 7, -7}
B) { 11, -3}
C) { -3, -11}
D) { 53}
فتح الحزمة
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21
Solve the equation. Express radicals in simplest form.
-(r + 6)2 = 11
A) { , }
B) {-6 + , -6 - }
C) { 5}
D) { 6 + , 6 - }
-(r + 6)2 = 11
A) {
, }B) {-6 +
, -6 - }C) { 5}
D) { 6 +
, 6 - } فتح الحزمة
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22
Solve the equation. Express radicals in simplest form.
-(t + 4)2 = -14
A) {-4 + , -4 - }
B) { 10}
C) { 4 + , 4 - }
D)
-(t + 4)2 = -14
A) {-4 +
, -4 - }B) { 10}
C) { 4 +
, 4 - }D)
فتح الحزمة
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23
Solve the equation. Express radicals in simplest form.
-(x - 6)2 = 40
A) ± 2
B) { ± 6
C) 6 ± 2
D) 6 ± 2
-(x - 6)2 = 40
A) ± 2
B) { ± 6
C) 6 ± 2
D) 6 ± 2
فتح الحزمة
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24
Solve the equation. Express radicals in simplest form.
-(2m - 3)2 = 121
A) { 7, -4}
B) { 4, -7}
C) { 8, -14}
D) { 14, -8}
-(2m - 3)2 = 121
A) { 7, -4}
B) { 4, -7}
C) { 8, -14}
D) { 14, -8}
فتح الحزمة
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25
Solve the equation. Express radicals in simplest form.
-( 4x + 2)2 = 36
A) {1, 2}
B) {1, -2}
C) { 10, -10}
D) {0, 1}
-( 4x + 2)2 = 36
A) {1, 2}
B) {1, -2}
C) { 10, -10}
D) {0, 1}
فتح الحزمة
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26
Solve the equation. Express radicals in simplest form.
- = 23
A)
B)
C)
D)
-
= 23A)
B)
C)
D)
فتح الحزمة
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k this deck
27
Solve the equation. Express radicals in simplest form.
-(3x + 6)2 = 28
A)
B)
C)
D)
-(3x + 6)2 = 28
A)
B)
C)
D)
فتح الحزمة
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k this deck
28
Solve the equation. Express radicals in simplest form.
-( 5 - 80 = 0
A)
B)
C)
D)
-( 5
- 80 = 0A)
B)
C)
D)
فتح الحزمة
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29
Solve the equation. Express radicals in simplest form.
- = 125
A) { -16 + 10 , -16 - 10 }
B) { 10 - 16 , 10 + 16}
C) { , }
D) { 16 + 10 , 16 - 10 }
-
= 125A) { -16 + 10
, -16 - 10 }B) { 10
- 16 , 10 + 16}C) {
, }D) { 16 + 10
, 16 - 10 } فتح الحزمة
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30
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-(m + 3.84)2 = 20.25
A) { 2.54, -6.46}
B) { 0.66, -8.34}
C) { 4.05, -4.05}
D) { 0.66}
-(m + 3.84)2 = 20.25
A) { 2.54, -6.46}
B) { 0.66, -8.34}
C) { 4.05, -4.05}
D) { 0.66}
فتح الحزمة
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31
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-( 2.12m - 7.90)2 = 3.57
A) {-2.83, 4.62}
B) { 4.62, -4.62}
C) { 4.62, 2.83}
D) { 3.23, 0.63}
-( 2.12m - 7.90)2 = 3.57
A) {-2.83, 4.62}
B) { 4.62, -4.62}
C) { 4.62, 2.83}
D) { 3.23, 0.63}
فتح الحزمة
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32
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-( 2.03p + 6.11)2 = 8.07
A) { 4.41, -1.61}
B) { 0.69, -0.69}
C) { 1.61, -1.61}
D) {-1.61, -4.41}
-( 2.03p + 6.11)2 = 8.07
A) { 4.41, -1.61}
B) { 0.69, -0.69}
C) { 1.61, -1.61}
D) {-1.61, -4.41}
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33
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-If P dollars is invested in an account at an annual interest rate of r, with interest compounded annually, after 2 years the amount A in the account is given by A = P . Use this formula to determine the interest rate if $ 5000 grows to $ 5618 in 2 years, with interest compounded annually.
A) 1.12%
B) 1.06%
C) 0.06%
D) 6%
-If P dollars is invested in an account at an annual interest rate of r, with interest compounded annually, after 2 years the amount A in the account is given by A = P
. Use this formula to determine the interest rate if $ 5000 grows to $ 5618 in 2 years, with interest compounded annually.A) 1.12%
B) 1.06%
C) 0.06%
D) 6%
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34
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-The area of a circle is found by the equation A = . If the area A of a certain circle is 9 square centimeters, find its radius r.
A) r = 3 cm
B) r = 3 cm
C) r = 3 cm
D) r = ± 3 cm
-The area of a circle is found by the equation A =
. If the area A of a certain circle is 9 square centimeters, find its radius r.A) r = 3 cm
B) r = 3 cm
C) r = 3
cmD) r = ± 3 cm
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35
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-The surface area S of a sphere with radius r is given by the formula If a sphere has surface area square inches, what is its radius?
A) 81 in.
B) 9 in.
C) 9 in.
D) 18 in.
-The surface area S of a sphere with radius r is given by the formula
If a sphere has surface area square inches, what is its radius?A) 81 in.
B) 9 in.
C) 9 in.
D) 18 in.
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36
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-A construction worker tosses a scrap piece of lumber from the roof of a building. How long does it take the piece of lumber to reach the ground 81 feet below? Use the formula where d is the distance (in feet) a freely falling object falls in t seconds. Give your answer as a fraction.
A) sec
B) sec
C) sec
D) sec
-A construction worker tosses a scrap piece of lumber from the roof of a building. How long does it take the piece of lumber to reach the ground 81 feet below? Use the formula
where d is the distance (in feet) a freely falling object falls in t seconds. Give your answer as a fraction.A)
secB)
secC)
secD)
sec فتح الحزمة
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37
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-The distance traveled by a falling object is given by d = 16 , where d is the distance (in feet) the object falls in t seconds. How long would it take an object to fall freely from a bridge above the water? Round your answer to the nearest tenth of a second.
A) 12,673,600.0 sec
B) 7.5 sec
C) 119.3 sec
D) 55.6 sec
-The distance traveled by a falling object is given by d = 16
, where d is the distance (in feet) the object falls in t seconds. How long would it take an object to fall freely from a bridge above the water? Round your answer to the nearest tenth of a second.A) 12,673,600.0 sec
B) 7.5 sec
C) 119.3 sec
D) 55.6 sec
فتح الحزمة
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38
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-The distance traveled by a falling object is given by d = 16 , where d is the distance (in feet) the object falls in t seconds. A stuntman jumps from a rooftop 330 ft off the ground. How long will it take him, falling freely, to reach the ground? Round your answer to the nearest tenth of a second.
A) 4.5 sec
B) 72.7 sec
C) 10.3 sec
D) 20.6 sec
-The distance traveled by a falling object is given by d = 16
, where d is the distance (in feet) the object falls in t seconds. A stuntman jumps from a rooftop 330 ft off the ground. How long will it take him, falling freely, to reach the ground? Round your answer to the nearest tenth of a second.A) 4.5 sec
B) 72.7 sec
C) 10.3 sec
D) 20.6 sec
فتح الحزمة
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39
Use a calculator to solve the equation. Round to the nearest hundredth, if necessary.
-A rock falls from a tower that is 73.5 m high. As it is falling, its height is given by the formula How many seconds will it take for the rock to hit the ground Round to the nearest tenth, if necessary.
A) 1102.5 sec
B) 8.3 sec
C) 8.6 sec
D) 3.9 sec
-A rock falls from a tower that is 73.5 m high. As it is falling, its height is given by the formula
How many seconds will it take for the rock to hit the ground Round to the nearest tenth, if necessary.A) 1102.5 sec
B) 8.3 sec
C) 8.6 sec
D) 3.9 sec
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40
Decide whether the statement is true or false. If it is false, tell why.
-If k = 0, then x2 = k will have exactly one real solution.
A) False; the equation will have two real solutions.
B) False; the equation will have no real solution.
C) True
-If k = 0, then x2 = k will have exactly one real solution.
A) False; the equation will have two real solutions.
B) False; the equation will have no real solution.
C) True
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41
Decide whether the statement is true or false. If it is false, tell why.
-If k is a positive integer, then x2 = k will have one rational and one irrational solution.
A) False; there will be either two rational solutions or two irrational solutions.
B) False; there will always be two rational solutions.
C) True
-If k is a positive integer, then x2 = k will have one rational and one irrational solution.
A) False; there will be either two rational solutions or two irrational solutions.
B) False; there will always be two rational solutions.
C) True
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42
Decide whether the statement is true or false. If it is false, tell why.
-If k is a prime number, then x2 = k will have two rational solutions.
A) False; the equation will have no real number solutions.
B) False; the solutions will be irrational because a prime number cannot be a perfect square.
C) True
-If k is a prime number, then x2 = k will have two rational solutions.
A) False; the equation will have no real number solutions.
B) False; the solutions will be irrational because a prime number cannot be a perfect square.
C) True
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43
Decide whether the statement is true or false. If it is false, tell why.
-If k is a perfect square, then x2 = k will have two integer solutions.
A) False; the equation will have two rational solutions that are not integers.
B) False; the equation will have one integer solution
C) True
-If k is a perfect square, then x2 = k will have two integer solutions.
A) False; the equation will have two rational solutions that are not integers.
B) False; the equation will have one integer solution
C) True
فتح الحزمة
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44
Decide whether the statement is true or false. If it is false, tell why.
-The equation x2 = has two irrational solutions.
A) False; the equation has two integer solutions.
B) True
C) False; the equation has two rational solutions that are not integers.
-The equation x2 =
has two irrational solutions.A) False; the equation has two integer solutions.
B) True
C) False; the equation has two rational solutions that are not integers.
فتح الحزمة
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45
Decide whether the statement is true or false. If it is false, tell why.
-If k is a negative integer, then x2 = k will have two irrational solutions.
A) True
B) False; the equation will have no real number solutions.
C) False; the equation will have two rational solutions.
-If k is a negative integer, then x2 = k will have two irrational solutions.
A) True
B) False; the equation will have no real number solutions.
C) False; the equation will have two rational solutions.
فتح الحزمة
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46
Decide whether the statement is true or false. If it is false, tell why.
-The equation -x2 = -64 has no real solutions.
A) False; the equation has one real number solution, 8.
B) False; the equation is equivalent to x2 = 64 and has two real solutions, 8 and -8.
C) True
-The equation -x2 = -64 has no real solutions.
A) False; the equation has one real number solution, 8.
B) False; the equation is equivalent to x2 = 64 and has two real solutions, 8 and -8.
C) True
فتح الحزمة
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47
Decide whether the statement is true or false. If it is false, tell why.
-The equation (x + 7)2 = 0 has exactly one real solution.
A) False; the equation has no real solutions.
B) True
C) False; the equation has two real solutions.
-The equation (x + 7)2 = 0 has exactly one real solution.
A) False; the equation has no real solutions.
B) True
C) False; the equation has two real solutions.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 178 في هذه المجموعة.
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k this deck
48
Decide whether the statement is true or false. If it is false, tell why.
-The equation ( 8x - 3)2 = -23 has two real number solutions.
A) False; the equation has no real number solutions.
B) False; the equation has one real number solution.
C) True
-The equation ( 8x - 3)2 = -23 has two real number solutions.
A) False; the equation has no real number solutions.
B) False; the equation has one real number solution.
C) True
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 178 في هذه المجموعة.
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49
Decide whether the statement is true or false. If it is false, tell why.
-The equation (x - 3)2 - 48 = 0 has two irrational solutions.
A) True
B) False; the equation has exactly one real number solution.
C) False; the equation has two rational solutions.
-The equation (x - 3)2 - 48 = 0 has two irrational solutions.
A) True
B) False; the equation has exactly one real number solution.
C) False; the equation has two rational solutions.
فتح الحزمة
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50
Complete the trinomial so that it is a perfect square.
-x2 + 12x +
A) 12
B) 6
C) 144
D) 36
-x2 + 12x +
A) 12
B) 6
C) 144
D) 36
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51
Complete the trinomial so that it is a perfect square.
-k2 - 10k +
A) -25
B) 5
C) 25
D) 100
-k2 - 10k +
A) -25
B) 5
C) 25
D) 100
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52
Complete the trinomial so that it is a perfect square.
- + 5m +
A)
B)
C)
D)
-
+ 5m +A)
B)
C)
D)
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53
Complete the trinomial so that it is a perfect square.
-x2 + x +
A)
B)
C)
D) 64
-x2 +
x +A)
B)
C)
D) 64
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54
Complete the trinomial so that it is a perfect square.
-z2 - z +
A)
B)
C)
D)
-z2 -
z +A)
B)
C)
D)
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55
Complete the trinomial so that it is a perfect square.
-x2 + x +
A)
B)
C)
D)
-x2 +
x +A)
B)
C)
D)
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56
Solve the equation by completing the square.
-a2 - 8a = 20
A) {± }
B) { -18, -2}
C) { -10, 2}
D) { 10, -2}
-a2 - 8a = 20
A) {± }
B) { -18, -2}
C) { -10, 2}
D) { 10, -2}
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57
Solve the equation by completing the square.
- + 4x - 1 = 0
A) { 3}
B) { 2 ± }
C) { ± 2}
D) { -2 ± }
-
+ 4x - 1 = 0A) { 3}
B) { 2 ±
}C) {
± 2}D) { -2 ±
} فتح الحزمة
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58
Solve the equation by completing the square.
-x2 + 8x = 3
A) { 4 + }
B) {-1 ± }
C) {-4 ± 2 }
D) {-4 ± }
-x2 + 8x = 3
A) { 4 +
}B) {-1 ±
}C) {-4 ± 2
}D) {-4 ±
} فتح الحزمة
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59
Solve the equation by completing the square.
-z2 + 18z + 60 = 0
A) { 9 + }
B) {-9 ± }
C) {-18 + }
D) { 9 ± }
-z2 + 18z + 60 = 0
A) { 9 +
}B) {-9 ±
}C) {-18 +
}D) { 9 ±
} فتح الحزمة
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60
Solve the equation by completing the square.
- + 8x - 24
= 0
A) {2 ± 4}
B) {-4 ± 2 }
C) { ± 2 }
D) {-4 ± 2 }
-
+ 8x - 24= 0
A) {2
± 4}B) {-4 ± 2
}C) { ± 2
}D) {-4 ± 2
} فتح الحزمة
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61
Solve the equation by completing the square.
- + 14x = -5
A) {-7 ± 2 }
B) {-7 ± 2 }
C) {2 ± 7}
D) {± 2 }
-
+ 14x = -5A) {-7 ± 2
}B) {-7 ± 2
}C) {2
± 7}D) {± 2
} فتح الحزمة
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62
Solve the equation by completing the square.
-x2 + 19 = -12x
A) {-12 + }
B) { 6 ± }
C) {-6 ± }
D) { 6 + }
-x2 + 19 = -12x
A) {-12 +
}B) { 6 ±
}C) {-6 ±
}D) { 6 +
} فتح الحزمة
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63
Solve the equation by completing the square.
-p2 + 3p - 9 = 0
A)
B)
C)
D) {-3 ± 3 }
-p2 + 3p - 9 = 0
A)
B)
C)
D) {-3 ± 3
} فتح الحزمة
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64
Solve the equation by completing the square.
- - 16m + 64 = 0
A) { 16}
B) {± 8}
C) {-8}
D) { 8}
-
- 16m + 64 = 0A) { 16}
B) {± 8}
C) {-8}
D) { 8}
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65
Solve the equation by completing the square.
- + 16k + 64 = 0
A) {± 8}
B) {-16}
C) { 8}
D) {-8}
-
+ 16k + 64 = 0A) {± 8}
B) {-16}
C) { 8}
D) {-8}
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66
Solve the equation by completing the square.
- + 2x - 3 = 0
A)
B)
C)
D)
-
+ 2x - 3 = 0A)
B)
C)
D)
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67
Solve the equation by completing the square.
-6x2 + 10x + 3 = 0
A)
B)
C)
D)
-6x2 + 10x + 3 = 0
A)
B)
C)
D)
فتح الحزمة
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68
Solve the equation by completing the square.
-2 - 2t + 9 = 0
A)
B)
C)
D) ?
-2
- 2t + 9 = 0A)
B)
C)
D) ?
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69
Solve the equation by completing the square.
-6x2 + 10x = - 1
A)
B)
C)
D)
-6x2 + 10x = - 1
A)
B)
C)
D)
فتح الحزمة
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70
Solve the equation by completing the square.
-(x + 1)(x - 4) = 6
A) {-2 ± }
B) {-5, 2}
C) { 5 ± }
D) {-2, 5}
-(x + 1)(x - 4) = 6
A) {-2 ±
}B) {-5, 2}
C) { 5 ±
}D) {-2, 5}
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71
Solve the equation by completing the square.
-(x - 9)(x - 1) = 12
A) { -5 - , -5 + }
B) { 5 - 2 , 5 + 2 }
C) { -5 - 2 , -5 + 2 }
D) { 5 - , 5 + }
-(x - 9)(x - 1) = 12
A) { -5 -
, -5 + }B) { 5 - 2
, 5 + 2 }C) { -5 - 2
, -5 + 2 }D) { 5 -
, 5 + } فتح الحزمة
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72
Solve the equation by completing the square.
-(x + 6)(x - 3) = 3
A)
B)
C)
D)
-(x + 6)(x - 3) = 3
A)
B)
C)
D)
فتح الحزمة
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73
Solve the equation by completing the square.
- + 2x = -1
A) {-1 ± }
B)
C) {1 ± }
D) {1, 2}
-
+ 2x = -1A) {-1 ± }
B)
C) {1 ±
}D) {1, 2}
فتح الحزمة
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74
Solve the equation by completing the square.
-7 - 2x - 2 = 0
A)
B)
C)
D)
-7
- 2x - 2 = 0A)
B)
C)
D)
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75
Solve the equation by completing the square.
-z5 = 2 - 18
A)
B)
C)
D)
-z5 = 2
- 18A)
B)
C)
D)
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76
Solve the equation by completing the square.
-16d2 + 32d + 15 = 0
A)
B)
C)
D)
-16d2 + 32d + 15 = 0
A)
B)
C)
D)
فتح الحزمة
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77
Solve the equation by completing the square. Then (i) give the exact solutions and (ii) give the solutions rounded to the nearest thousandth.
-x2 = 3 - 8x
A) (i) {-4 ± 2 } (ii) { 4.718}
B) (i) {-4 ± } (ii) { 0.359, -8.359}
C) (i) {-1 ± } (ii) { 3.359, -5.359}
D) (i) { 4 + } (ii) { 8.359}
-x2 = 3 - 8x
A) (i) {-4 ± 2
} (ii) { 4.718}B) (i) {-4 ±
} (ii) { 0.359, -8.359}C) (i) {-1 ±
} (ii) { 3.359, -5.359}D) (i) { 4 +
} (ii) { 8.359} فتح الحزمة
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78
Solve the equation by completing the square. Then (i) give the exact solutions and (ii) give the solutions rounded to the nearest thousandth.
-( 9t + 6)2 = 19
A) (i) {-6 ± } (ii) { -1.641, -10.359}
B) (i) (ii) { 0.401, -0.401}
C) (i) (ii) { 1.067}
D) (i) (ii) { -0.182, -1.151}
-( 9t + 6)2 = 19
A) (i) {-6 ±
} (ii) { -1.641, -10.359}B) (i)
(ii) { 0.401, -0.401}C) (i)
(ii) { 1.067}D) (i)
(ii) { -0.182, -1.151} فتح الحزمة
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79
Solve the equation by completing the square. Then (i) give the exact solutions and (ii) give the solutions rounded to the nearest thousandth.
-2 + 3x = 1 + 5x
A) (i) (ii) { 0.366, -1.366}
B) (i) {-1 ± } (ii) { 0.732, -2.732}
C) (i) (ii) { 1.366, -0.366}
D) (i) { 1 ± } (ii) { 2.732, -0.732}
-2
+ 3x = 1 + 5xA) (i)
(ii) { 0.366, -1.366}B) (i) {-1 ±
} (ii) { 0.732, -2.732}C) (i)
(ii) { 1.366, -0.366}D) (i) { 1 ±
} (ii) { 2.732, -0.732} فتح الحزمة
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80
Solve the problem.
-A ball is thrown vertically upward from the top of a building 96 feet tall with an initial velocity of 80 feet per second. The height, s (in feet), of the ball after t seconds is givenby After how many seconds does the ball strike the ground?
A) 97 sec
B) 5 sec
C) 6 sec
D) 8 sec
-A ball is thrown vertically upward from the top of a building 96 feet tall with an initial velocity of 80 feet per second. The height, s (in feet), of the ball after t seconds is givenby
After how many seconds does the ball strike the ground?A) 97 sec
B) 5 sec
C) 6 sec
D) 8 sec
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