Deck 1: Section 1: Real Numbers and Their Properties

Question 1

Perform the indicated operation:

A)
B)
C)
D)

Answer 1

Question 2

Jim has a $112,700 home with a $58,444 mortgage. He has $7,995 in savings and an additional $5,021 in a mutual fund account. He owes $9,822 on his car and $2,143 on his credit card. What is Jim's net worth?

A) $45,265
B) $74,951
C) $55,307
D) $39,317

Answer 2

$55,307

Question 3

Evaluate: (-13)(-9)

A) -117
B) 104
C) 117
D) 108

Answer 3

117

Question 4

Evaluate: 0 $\div$ 5

A) 0
B) 1
C) Undefined
D) 5

Question 5

Translate the given sentence into an equation: "The product of n - 8 and n - 12 is 5."

A) (n - 8)(n - 12) = 5
B) (n - 8)(n - 12)(5)
C) n - 8n - 12 = 5
D) (n - 8) + (n - 12) = 5

Question 6

Find the quotient:

A)
B)
C)
D) 5

Question 7

Evaluate: (-7 + 6)(-11 - 9)

A) 20
B) -82
C) 2
D) 260

Question 8

Evaluate: 3 - 7 · |13 - (3² - 1)|

A) -144
B) -32
C) -74
D) 38

Question 9

Write the interval of real numbers in interval notation. The set of real numbers less than -6

A) [-6, ∞)
B) (-∞, -6]
C) (-∞, -6)
D) (-6, ∞)

Question 10

T.L. and Quina plan to add a 9-inch thick layer of gravel to their driveway. The driveway is 26 yards long and 3 yards wide. What volume of gravel in cubic yards is required? Assume that the driveway layer is in the shape of a rectangular slab.

A) 234 yd³
B) yd³
C) 702 yd³
D) yd³

Question 11

Convert to a percent and a fraction: 0.59

A) 0.59%,
B) 0.59%,
C) 59%,
D) 59%,

Question 12

Find the difference:

A)
B)
C)
D)

Question 13

Evaluate: 21 + (-23)

A) -44
B) 44
C) -2
D) 2

Question 14

Determine the value of |-3|.

A) -3 or 3
B) 3
C) The expression is undefined.
D) -3

Question 15

Translate the verbal expression into an algebraic expression: The difference of u and the square of c

A) -u·c²
B) u - c²
C) (u - c)²
D) u² - c

Question 16

Write as a product without exponents: 8⁴

A) 8 + 8 + 8 + 8
B) 4·8
C) 8·8·8·8
D) None of these.

Question 17

If a golf ball is dropped from a tall building, the distance it has fallen in feet is given by 16t², where t is the time in seconds since the ball was dropped. How far has the ball fallen after 4 seconds?

A) 256 ft
B) 80 ft
C) 144 ft
D) 64 ft

Question 18

Find the product:

A) 2
B)
C)
D) None of these.

Question 19

Evaluate the expression for b = 14 and c = 7: c² + 6b + 6

A) -41
B) 139
C) 97
D) -29

Question 20

Perform the indicated operation:

A)
B)
C)
D)

Question 21

Simplify: -10(s - 2) - 4(-s - 11)

A) -14s - 24
B) -6s + 64
C) -6s - 24
D) -14s + 64

Question 22

Simplify:

A) -5n - 2
B) -5n + 2
C)
D) 5n - 2

Question 23

Use the appropriate properties to evaluate 227²(4·5 - 20).

A) 51,529
B) 12
C) 0
D) 2,061,160

Question 24

Use the distributive property to factor the expression. 24p - 36

A) 6(3p - 6)
B) 24(p - 2)
C) 12(2p - 3)
D) 8(3p - 4)

Question 25

A large industrial plant produces one ton of concrete every 0.80 minutes. At what rate is the facility producing concrete in tons per hour? Round to the nearest thousandth of a ton per hour.

A) 84.523 tons/hr
B) 61.112 tons/hr
C) 0.021 tons/hr
D) 75.000 tons/hr

Question 26

Use the commutative and associative properties of multiplication and exponential notation to rewrite the given product. r²(r·10)(rs)

A) 10r³s
B) 10r⁴s²
C) 10rs
D) 10r⁴s

Question 27

Combine like terms if possible: 8m - (-5m)

A) 8m - (-5m)
B) 13m
C) 3m
D) -3m

Question 28

Evaluate: 4 - 6 + 9 - 7 - 2 + 10 + 5

A) 27
B) 15
C) 3
D) 13

Question 29

Find the multiplicative inverse of .

A) 0
B)
C) Undefined
D) 8