Question 1

What number must be added to $x ^ { 2 } + \sqrt { 7 } x$ to make a perfect-square trinomial?

Accepted Answer

The answer of What number must be added to \(x...

Question 2

Solve $3 x ^ { 2 } - 4 x = - 2$ by the quadratic formula.

Accepted Answer

The answer of Solve \(3 x ^ { 2 }...

Question 3

A box with no top is to be made by cutting a 2-inch square from each corner of the square sheet of metal. After bending up the sides, the volume of the box is to be 512 cubic inches. What are the dimensions of the square sheet?

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The answer of A box with no top is to...

Question 4

The _________ form of a quadratic equation is  $a x ^ { 2 } + b x + c = 0$ .

Accepted Answer

The answer of The _________ form of a quadratic equation...

Question 5

$x = \frac { - b \pm \sqrt { b ^ { 2 } - 4 a c } } { 2 a }$ is called the __________ formula.

Accepted Answer

The answer of \(x = \frac { - b \pm...

Question 6

Suppose a rectangular movie screen has an area of 11,136 square feet. Find the dimensions of the screen if it is 20 feet longer than it is wide. __________ ft by __________ ft

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Question 7

Solve the equation. $3 x ^ { 2 } - 4 x + 2 = 0$

Accepted Answer

The answer of Solve the equation. \(3 x ^ {...

Question 8

Solve the equation. Approximate the solutions to two decimal places. $4 x ^ { 2 } - x = 8$

Accepted Answer

The answer of Solve the equation. Approximate the solutions to...

Question 9

Solve the equation. Approximate the solutions to two decimal places. $3 x ^ { 2 } + 7 x = - 1$

Accepted Answer

The answer of Solve the equation. Approximate the solutions to...

Question 10

Use the quadratic formula to solve the equation. $9 z ^ { 2 } + 9 z + 2 = 0$

Accepted Answer

The answer of Use the quadratic formula to solve the...

Question 11

Evaluate the expression. $\frac { - 2 \pm \sqrt { 2 ^ { 2 } - 4 ( 1 ) ( - 8 ) } } { 2 ( 1 ) }$

Accepted Answer

The answer of Evaluate the expression. \(\frac { - 2...

Question 12

The hypotenuse of a right triangle is 6.1 units long. The longer leg is 4.9 units longer than the shorter leg. Find the lengths of the sides of the triangle. longer leg __________ units shorter leg __________ units

Accepted Answer

The answer of The hypotenuse of a right triangle is...

Question 13

The formula  is called the quadratic formula.

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The answer of The formula  is called the quadratic...

Question 14

Use the quadratic formula to solve the equation. $9 t ^ { 2 } - 9 t - 28 = 0$

Accepted Answer

The answer of Use the quadratic formula to solve the...

Question 15

Write the equation in standard form. $4 x ^ { 2 } = - 4 x + 1$

Accepted Answer

The answer of Write the equation in standard form. \(4...

Question 16

Solve the equation. $7 x ^ { 2 } - 3 x - 1 = 0$

Accepted Answer

The answer of Solve the equation. \(7 x ^ {...

Question 17

Evaluate the expression. $\frac { - ( - 1 ) \pm \sqrt { ( - 1 ) ^ { 2 } - 4 ( 2 ) ( - 7 ) } } { 2 ( 2 ) }$

Accepted Answer

The answer of Evaluate the expression. \(\frac { - (...

Question 18

Simplify the following. $\frac { - 15 \pm 5 \sqrt { 7 } } { 10 }$

Accepted Answer

The answer of Simplify the following. \(\frac { - 15...

Question 19

Solve the equation. $x ^ { 2 } - 2 x + 10 = 0$

Accepted Answer

The answer of Solve the equation. \(x ^ { 2...

Question 20

For the following quadratic equation, find a , b and c . $8 x ^ { 2 } - x = 11$  
a= __________ b= __________ c= __________

Accepted Answer

The answer of For the following quadratic equation, find a...

Quiz 8: Quadratic Equations, Functions, and Inequalities

What number must be added to $x ^ { 2 } + \sqrt { 7 } x$ to make a perfect-square trinomial?

Solve $3 x ^ { 2 } - 4 x = - 2$ by the quadratic formula.

A box with no top is to be made by cutting a 2-inch square from each corner of the square sheet of metal. After bending up the sides, the volume of the box is to be 512 cubic inches. What are the dimensions of the square sheet?

The _________ form of a quadratic equation is $a x ^ { 2 } + b x + c = 0$ .

$x = \frac { - b \pm \sqrt { b ^ { 2 } - 4 a c } } { 2 a }$ is called the __________ formula.

Suppose a rectangular movie screen has an area of 11,136 square feet. Find the dimensions of the screen if it is 20 feet longer than it is wide. ft by ft

Solve the equation. $3 x ^ { 2 } - 4 x + 2 = 0$

Solve the equation. Approximate the solutions to two decimal places. $4 x ^ { 2 } - x = 8$

Solve the equation. Approximate the solutions to two decimal places. $3 x ^ { 2 } + 7 x = - 1$

Use the quadratic formula to solve the equation. $9 z ^ { 2 } + 9 z + 2 = 0$

Evaluate the expression. $\frac { - 2 \pm \sqrt { 2 ^ { 2 } - 4 ( 1 ) ( - 8 ) } } { 2 ( 1 ) }$

The hypotenuse of a right triangle is 6.1 units long. The longer leg is 4.9 units longer than the shorter leg. Find the lengths of the sides of the triangle. longer leg units shorter leg units

The formula is called the quadratic formula.

Use the quadratic formula to solve the equation. $9 t ^ { 2 } - 9 t - 28 = 0$

Write the equation in standard form. $4 x ^ { 2 } = - 4 x + 1$

Solve the equation. $7 x ^ { 2 } - 3 x - 1 = 0$

Evaluate the expression. $\frac { - ( - 1 ) \pm \sqrt { ( - 1 ) ^ { 2 } - 4 ( 2 ) ( - 7 ) } } { 2 ( 2 ) }$

Simplify the following. $\frac { - 15 \pm 5 \sqrt { 7 } } { 10 }$

Solve the equation. $x ^ { 2 } - 2 x + 10 = 0$

For the following quadratic equation, find a , b and c . $8 x ^ { 2 } - x = 11$ a= b= c= __

Quiz 8: Quadratic Equations, Functions, and Inequalities

What number must be added to x2+7xx ^ { 2 } + \sqrt { 7 } xx2+7​x to make a perfect-square trinomial?

Solve 3x2−4x=−23 x ^ { 2 } - 4 x = - 23x2−4x=−2 by the quadratic formula.

A box with no top is to be made by cutting a 2-inch square from each corner of the square sheet of metal. After bending up the sides, the volume of the box is to be 512 cubic inches. What are the dimensions of the square sheet?

The _________ form of a quadratic equation is ax2+bx+c=0a x ^ { 2 } + b x + c = 0ax2+bx+c=0 .

x=−b±b2−4ac2ax = \frac { - b \pm \sqrt { b ^ { 2 } - 4 a c } } { 2 a }x=2a−b±b2−4ac​​ is called the __________ formula.

Suppose a rectangular movie screen has an area of 11,136 square feet. Find the dimensions of the screen if it is 20 feet longer than it is wide. __________ ft by __________ ft

Solve the equation. 3x2−4x+2=03 x ^ { 2 } - 4 x + 2 = 03x2−4x+2=0

Solve the equation. Approximate the solutions to two decimal places. 4x2−x=84 x ^ { 2 } - x = 84x2−x=8

Solve the equation. Approximate the solutions to two decimal places. 3x2+7x=−13 x ^ { 2 } + 7 x = - 13x2+7x=−1

Use the quadratic formula to solve the equation. 9z2+9z+2=09 z ^ { 2 } + 9 z + 2 = 09z2+9z+2=0

Evaluate the expression. −2±22−4(1)(−8)2(1)\frac { - 2 \pm \sqrt { 2 ^ { 2 } - 4 ( 1 ) ( - 8 ) } } { 2 ( 1 ) }2(1)−2±22−4(1)(−8)​​

The hypotenuse of a right triangle is 6.1 units long. The longer leg is 4.9 units longer than the shorter leg. Find the lengths of the sides of the triangle. longer leg __________ units shorter leg __________ units

The formula is called the quadratic formula.

Use the quadratic formula to solve the equation. 9t2−9t−28=09 t ^ { 2 } - 9 t - 28 = 09t2−9t−28=0

Write the equation in standard form. 4x2=−4x+14 x ^ { 2 } = - 4 x + 14x2=−4x+1

Solve the equation. 7x2−3x−1=07 x ^ { 2 } - 3 x - 1 = 07x2−3x−1=0

Evaluate the expression. −(−1)±(−1)2−4(2)(−7)2(2)\frac { - ( - 1 ) \pm \sqrt { ( - 1 ) ^ { 2 } - 4 ( 2 ) ( - 7 ) } } { 2 ( 2 ) }2(2)−(−1)±(−1)2−4(2)(−7)​​

Simplify the following. −15±5710\frac { - 15 \pm 5 \sqrt { 7 } } { 10 }10−15±57​​

Solve the equation. x2−2x+10=0x ^ { 2 } - 2 x + 10 = 0x2−2x+10=0

For the following quadratic equation, find a , b and c . 8x2−x=118 x ^ { 2 } - x = 118x2−x=11 a= __________ b= __________ c= __________

What number must be added to $x ^ { 2 } + \sqrt { 7 } x$ to make a perfect-square trinomial?

Solve $3 x ^ { 2 } - 4 x = - 2$ by the quadratic formula.

The _________ form of a quadratic equation is $a x ^ { 2 } + b x + c = 0$ .

$x = \frac { - b \pm \sqrt { b ^ { 2 } - 4 a c } } { 2 a }$ is called the __________ formula.

Suppose a rectangular movie screen has an area of 11,136 square feet. Find the dimensions of the screen if it is 20 feet longer than it is wide. ft by ft

Solve the equation. $3 x ^ { 2 } - 4 x + 2 = 0$

Solve the equation. Approximate the solutions to two decimal places. $4 x ^ { 2 } - x = 8$

Solve the equation. Approximate the solutions to two decimal places. $3 x ^ { 2 } + 7 x = - 1$

Use the quadratic formula to solve the equation. $9 z ^ { 2 } + 9 z + 2 = 0$

Evaluate the expression. $\frac { - 2 \pm \sqrt { 2 ^ { 2 } - 4 ( 1 ) ( - 8 ) } } { 2 ( 1 ) }$

The hypotenuse of a right triangle is 6.1 units long. The longer leg is 4.9 units longer than the shorter leg. Find the lengths of the sides of the triangle. longer leg units shorter leg units

Use the quadratic formula to solve the equation. $9 t ^ { 2 } - 9 t - 28 = 0$

Write the equation in standard form. $4 x ^ { 2 } = - 4 x + 1$

Solve the equation. $7 x ^ { 2 } - 3 x - 1 = 0$

Evaluate the expression. $\frac { - ( - 1 ) \pm \sqrt { ( - 1 ) ^ { 2 } - 4 ( 2 ) ( - 7 ) } } { 2 ( 2 ) }$

Simplify the following. $\frac { - 15 \pm 5 \sqrt { 7 } } { 10 }$

Solve the equation. $x ^ { 2 } - 2 x + 10 = 0$

For the following quadratic equation, find a , b and c . $8 x ^ { 2 } - x = 11$ a= b= c= __