Question 1

Find both the additive inverse and the multiplicative inverse for the given number.
-$- \frac { 7 } { 20 }$

Accepted Answer

A) 0, 1 
B)  $- \frac { 7 } { 20 } , - \frac { 20 } { 7 }$ 
C)  $\frac { 7 } { 20 } , - \frac { 20 } { 7 }$ 
D)  $\frac { 20 } { 7 } , - \frac { 7 } { 20 }$ 
A) 0, 1 
B)  $- \frac { 7 } { 20 } , - \frac { 20 } { 7 }$ 
C)  $\frac { 7 } { 20 } , - \frac { 20 } { 7 }$ 
D)  $\frac { 20 } { 7 } , - \frac { 7 } { 20 }$

Question 2

Insert eithernsert either  to to make the statement true.
-$- \frac { 4 } { 9 } ~\_\_\_ - \frac { 3 } { 7 }$

Accepted Answer

A)   
A)

Question 3

Evaluate the expression for the given value or values.
-$- x ^ { 2 } - 5 y \text { when } x = - 2 , y = - 4$

Accepted Answer

A) -24 
B) 14 
C) 16 
D) -16 
A) -24 
B) 14 
C) 16 
D) -16

Question 4

Simplify the expression and write the answer without negative exponents.
-$\frac { x ^ { - 2 } } { x ^ { - 7 } }$

Accepted Answer

A)  $\frac { 1 } { x ^ { 5 } }$ 
B)  $x ^ { 5 }$ 
C)  $x ^ { 9 }$ 
D)  $\frac { 1 } { x ^ { 14 } }$ 
A)  $\frac { 1 } { x ^ { 5 } }$ 
B)  $x ^ { 5 }$ 
C)  $x ^ { 9 }$ 
D)  $\frac { 1 } { x ^ { 14 } }$

Question 5

Evaluate.
--3(-6)(-1)

Accepted Answer

A) -24 
B) 24 
C) 18 
D) -18 
A) -24 
B) 24 
C) 18 
D) -18

Question 6

Evaluate.
-0.66 - (-0.36)

Accepted Answer

A) 0.3 
B) 1.12 
C) 1.02 
D) 0.2376 
A) 0.3 
B) 1.12 
C) 1.02 
D) 0.2376

Question 7

Evaluate the expression.
-$\frac { 3 ^ { - 9 } } { 3 ^ { - 2 } }$

Accepted Answer

A) 2187 
B)  $- \frac { 1 } { 2187 }$ 
C) -2187 
D)  $\frac { 1 } { 2187 }$ 
A) 2187 
B)  $- \frac { 1 } { 2187 }$ 
C) -2187 
D)  $\frac { 1 } { 2187 }$

Question 8

Determine whether the statement is true or false.
-The set of rational numbers is a finite set.

Accepted Answer

A) True 
 B)False

Question 9

Evaluate the expression.
-$\frac { | 12 ( - 5 ) | - | 1 - 11 | } { | 4 ( 12 ) | }$

Accepted Answer

A)  $- \frac { 35 } { 24 }$ 
B)  $- \frac { 25 } { 24 }$ 
C)  $\frac { 25 } { 24 }$ 
D)  $\frac { 35 } { 24 }$ 
A)  $- \frac { 35 } { 24 }$ 
B)  $- \frac { 25 } { 24 }$ 
C)  $\frac { 25 } { 24 }$ 
D)  $\frac { 35 } { 24 }$

Question 10

Simplify the expression and write the answer without negative exponents.
-$\frac { \mathrm { m } ^ { 0 } } { \mathrm {~m} ^ { - 7 } }$

Accepted Answer

A)  $1 + m ^ { 7 }$ 
B)  $1 - m ^ { 7 }$ 
C)  $\mathrm { m } ^ { 7 }$ 
D)  $- \mathrm { m } ^ { 7 }$ 
A)  $1 + m ^ { 7 }$ 
B)  $1 - m ^ { 7 }$ 
C)  $\mathrm { m } ^ { 7 }$ 
D)  $- \mathrm { m } ^ { 7 }$

Question 11

List the values from smallest to largest.
-$- 7 , - 15 , - | 9 | , - | 22 | , - | - 17 |$

Accepted Answer

A)  $- | 22 | , - | 9 | , - | - 17 | , - 15 , - 7$ 
B)  $- | 22 | , - | - 17 | , - | 9 | , - 15 , - 7$ 
C)  $- | 22 | , - 15 , - | - 17 | , - | 9 | , - 7$ 
D)  $- | 22 | , - | - 17 | , - 15 , - | 9 | , - 7$ 
A)  $- | 22 | , - | 9 | , - | - 17 | , - 15 , - 7$ 
B)  $- | 22 | , - | - 17 | , - | 9 | , - 15 , - 7$ 
C)  $- | 22 | , - 15 , - | - 17 | , - | 9 | , - 7$ 
D)  $- | 22 | , - | - 17 | , - 15 , - | 9 | , - 7$

Question 12

Let R = the set of real numbers, N = the set of natural numbers, W = the set of whole numbers, I = the set of integers,
Q = the set of rational numbers, and H = the set of irrational numbers. Answer the question.
-Is Q a subset of H?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 13

Solve the problem.
-At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -3° C. At the end of the experiment, it had risen 32° C. What was the liquid's temperature at the end of the experiment?

Accepted Answer

A) 29° C 
B) -35° C 
C) -29° C 
D) 35° C 
A) 29° C 
B) -35° C 
C) -29° C 
D) 35° C

Question 14

Solve the problem.
-List the elements of S that are whole numbers.

Accepted Answer

A)  $\left\{ - 5.27 , - 5 , \frac { 1 } { 3 } , \frac { 4 } { 7 } , \frac { 107 } { 121 } , 3 \right\}$ 
B) {-5, 0, 3} 
C) {0, 3} 
D) {3} 
A)  $\left\{ - 5.27 , - 5 , \frac { 1 } { 3 } , \frac { 4 } { 7 } , \frac { 107 } { 121 } , 3 \right\}$ 
B) {-5, 0, 3} 
C) {0, 3} 
D) {3}

Question 15

Evaluate.
-$- | - 13 | + | - 12 | + ( 5 + | - 28 | )$

Accepted Answer

A) 34 
B) 22 
C) 8 
D) 32 
A) 34 
B) 22 
C) 8 
D) 32

Question 16

Evaluate.
--7.9 - (-1.1)

Accepted Answer

A) -6.8 
B) 6.8 
C) 9 
D) -9 
A) -6.8 
B) 6.8 
C) 9 
D) -9

Question 17

Evaluate the expression for the given value or values.
-$\frac { - b + \sqrt { b ^ { 2 } - 4 a c } } { 2 a } \text { when } a = 5 , b = 14 , \text { and } c = - 3$

Accepted Answer

A)  $- \frac { 1 } { 5 }$ 
B) -3 
C) 3 
D)  $\frac { 1 } { 5 }$ 
A)  $- \frac { 1 } { 5 }$ 
B) -3 
C) 3 
D)  $\frac { 1 } { 5 }$

Question 18

Use a calculator to solve.
-Fred throws a ball upward from a platform that is 10 feet above ground level. The height of the ball above the ground, in feet, is determined byy h $h = - 16 x ^ { 2 } + 72 x + 10,$ , where x is twhere x is he number of seconds after the ball is thrown.
Determine the height of the ball 4 seconds after the ball is thrown.

Accepted Answer

A) 40 ft 
B) 52 ft 
C) 0 ft 
D) 42 ft 
A) 40 ft 
B) 52 ft 
C) 0 ft 
D) 42 ft

Question 19

Use a calculator to evaluate the expression. If necessary, round answers to the nearest thousandth.
-$( 1.07 ) ^ { 7 }$

Accepted Answer

A) 1.606 
B) 1.616 
C) 1.049 
D) 1.607 
A) 1.606 
B) 1.616 
C) 1.049 
D) 1.607

Question 20

Name the property illustrated by the statement.
-$3 ( x + 7 ) = 3 x + 3 \cdot 7$

Accepted Answer

A) associative property of multiplication 
B) distributive property 
C) commutative property of addition 
D) identity property of multiplication 
A) associative property of multiplication 
B) distributive property 
C) commutative property of addition 
D) identity property of multiplication

Find both the additive inverse and the multiplicative inverse for the given number. - $- \frac { 7 } { 20 }$

Insert eithernsert either $< \text { or } >$ to to make the statement true. - $- \frac { 4 } { 9 } ~\_\_\_ - \frac { 3 } { 7 }$

Evaluate the expression for the given value or values. - $- x ^ { 2 } - 5 y \text { when } x = - 2 , y = - 4$

Simplify the expression and write the answer without negative exponents. - $\frac { x ^ { - 2 } } { x ^ { - 7 } }$

Evaluate. --3(-6)(-1)

Evaluate. -0.66 - (-0.36)

Evaluate the expression. - $\frac { 3 ^ { - 9 } } { 3 ^ { - 2 } }$

Determine whether the statement is true or false. -The set of rational numbers is a finite set.

Evaluate the expression. - $\frac { | 12 ( - 5 ) | - | 1 - 11 | } { | 4 ( 12 ) | }$

Simplify the expression and write the answer without negative exponents. - $\frac { \mathrm { m } ^ { 0 } } { \mathrm {~m} ^ { - 7 } }$

List the values from smallest to largest. - $- 7 , - 15 , - | 9 | , - | 22 | , - | - 17 |$

Let R = the set of real numbers, N = the set of natural numbers, W = the set of whole numbers, I = the set of integers, Q = the set of rational numbers, and H = the set of irrational numbers. Answer the question. -Is Q a subset of H?

Solve the problem. -At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -3° C. At the end of the experiment, it had risen 32° C. What was the liquid's temperature at the end of the experiment?

Solve the problem. -List the elements of S that are whole numbers.

Evaluate. - $- | - 13 | + | - 12 | + ( 5 + | - 28 | )$

Evaluate. --7.9 - (-1.1)

Evaluate the expression for the given value or values. - $\frac { - b + \sqrt { b ^ { 2 } - 4 a c } } { 2 a } \text { when } a = 5 , b = 14 , \text { and } c = - 3$

Use a calculator to evaluate the expression. If necessary, round answers to the nearest thousandth. - $( 1.07 ) ^ { 7 }$

Name the property illustrated by the statement. - $3 ( x + 7 ) = 3 x + 3 \cdot 7$

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Exam 1: Basic Concepts

Find both the additive inverse and the multiplicative inverse for the given number. - −720- \frac { 7 } { 20 }−207​

Insert eithernsert either < or >< \text { or } >< or > to to make the statement true. - −49 ___−37- \frac { 4 } { 9 } ~\_\_\_ - \frac { 3 } { 7 }−94​ ___−73​

Evaluate the expression for the given value or values. - −x2−5y when x=−2,y=−4- x ^ { 2 } - 5 y \text { when } x = - 2 , y = - 4−x2−5y when x=−2,y=−4

Simplify the expression and write the answer without negative exponents. - x−2x−7\frac { x ^ { - 2 } } { x ^ { - 7 } }x−7x−2​