Deck 1: Section 2: Real Numbers and Their Properties

Question 1

T.L. and Quina plan to add a 9-inch thick layer of gravel to their driveway. The driveway is 29 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.

Answer 1

yd³

Question 2

Evaluate the expression for b = -10 and c = -11:
c² - 3b - 1

Answer 2

150

Question 3

Evaluate: (6 - 2)(5 - 12)

Answer 3

-28

Question 4

Write the interval of real numbers in interval notation.
The set of real numbers less than -7

Question 5

Evaluate: 0 $\div$ 2

Question 6

Find the quotient:

Question 7

Evaluate: 7 - 3 · |3 - (5² - 2)|

Question 8

Jim has a $147,000 home with a $98,672 mortgage. He has $8,210 in savings and an additional $9,756 in a mutual fund account. He owes $3,416 on his car and $1,146 on his credit card. What is Jim's net worth?

Question 9

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 7 seconds?

Question 10

Translate the given sentence into an equation:
"The product of n + 14 and n + 7 is 1."

Question 11

Evaluate: (5)(10)

Question 12

Convert to a percent and a fraction: 0.7

Question 13

Find the product:

Question 14

Evaluate:

Question 15

Perform the indicated operation: 4 - (-12)

Question 16

Write as a product without exponents: 12⁴

Question 17

Evaluate: 23 + (-24)

Question 18

Find the difference:

Question 19

Determine the value of |-2|.

Question 20

Translate the verbal expression into an algebraic expression:
The difference of p and the square of a

Question 21

Simplify:

Question 22

A large industrial plant produces one ton of concrete every 0.75 minutes. At what rate is the facility producing concrete in tons per hour? Round to the nearest thousandth of a ton per hour.

Question 23

Find the multiplicative inverse of .

Question 24

Use the distributive property to factor the expression.
-35p + 20

Question 25

Use the commutative and associative properties of multiplication and exponential notation to rewrite the given product.
v²(v·13)(vw)

Question 26

Combine like terms if possible: 7z - (-12z)

Question 27

Simplify: 2(m - 4) - 3(-m - 7)

Question 28

Use the appropriate properties to evaluate 182²(4·10 - 40).

Question 29

Evaluate: 11 - 14 + 10 - 15