Question 1

Name the property illustrated by the statement.
-4x · (5x ·6y)= (4x ·5x)·6y

Accepted Answer

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

Question 2

Evaluate.
-$\frac { 1 } { 7 } + \left( - \frac { 1 } { 12 } \right)$

Accepted Answer

A)  $- \frac { 5 } { 84 }$ 
B)  $\frac { 5 } { 7 }$ 
C)  $\frac { 5 } { 84 }$ 
D)  $- \frac { 5 } { 7 }$ 
A)  $- \frac { 5 } { 84 }$ 
B)  $\frac { 5 } { 7 }$ 
C)  $\frac { 5 } { 84 }$ 
D)  $- \frac { 5 } { 7 }$

Question 3

Determine whether the statement is true or false.
-$\{ \ldots , - 7 , - 5 , - 3 , - 1,1,3,5,7 , \ldots \}$ is the set of odd natural numbers.

Accepted Answer

A) True 
 B)False

Question 4

Evaluate the absolute value expression.
-$- \left| - \frac { 6 } { 17 } \right|$

Accepted Answer

A) 0 
B)  $\frac { 12 } { 17 }$ 
C)  $- \frac { 6 } { 17 }$ 
D)  $\frac { 6 } { 17 }$ 
A) 0 
B)  $\frac { 12 } { 17 }$ 
C)  $- \frac { 6 } { 17 }$ 
D)  $\frac { 6 } { 17 }$

Question 5

Simplify the expression and write the answer without negative exponents.
-$\left( \frac { 9 x ^ { - 4 } } { 7 y ^ { - 4 } } \right) ^ { - 3 }$

Accepted Answer

A)  $\frac { 729 x ^ { 12 } } { 343 y ^ { 12 } }$ 
B)  $\frac { 343 y ^ { 12 } } { 729 x ^ { 12 } }$ 
C)  $\frac { 343 x ^ { 12 } } { 729 y ^ { 12 } }$ 
D)  $\frac { 729 x ^ { 43 } } { 343 y ^ { 43 } }$ 
A)  $\frac { 729 x ^ { 12 } } { 343 y ^ { 12 } }$ 
B)  $\frac { 343 y ^ { 12 } } { 729 x ^ { 12 } }$ 
C)  $\frac { 343 x ^ { 12 } } { 729 y ^ { 12 } }$ 
D)  $\frac { 729 x ^ { 43 } } { 343 y ^ { 43 } }$

Question 6

Name the property illustrated by the statement.
-5 · 1 = 5

Accepted Answer

A) distributive property 
B) commutative property of multiplication 
C) inverse property of multiplication 
D) identity property of multiplication 
A) distributive property 
B) commutative property of multiplication 
C) inverse property of multiplication 
D) identity property of multiplication

Question 7

Solve the problem.
-The Neighborhood Lemonade Stand, Inc. reported net incomes of -$424, -$186, and -$449 for the past three years. What was its total net income for these three years?

Accepted Answer

A) $1059 
B) -$1059 
C) -$635 
D) -$610 
A) $1059 
B) -$1059 
C) -$635 
D) -$610

Question 8

Evaluate the expression.
-$\frac { 2 + ( - 5 ) ^ { 2 } + 2 \cdot 4 ^ { 2 } } { 2 ^ { 2 } \cdot ( 6 - 5 ) }$

Accepted Answer

A) 2 
B)  $\frac { 59 } { 4 }$ 
C) 0 
D)  $\frac { 4 } { 7 }$ 
A) 2 
B)  $\frac { 59 } { 4 }$ 
C) 0 
D)  $\frac { 4 } { 7 }$

Question 9

Express the number without exponents.
-$6 \times 10 ^ { 4 }$

Accepted Answer

A) 0.0006 
B) 600,000 
C) 60,000 
D) 0.00006 
A) 0.0006 
B) 600,000 
C) 60,000 
D) 0.00006

Question 10

Name the property illustrated by the statement.
-$8 ( x + 8 y + 4 ) = 8 x + 64 y + 32$

Accepted Answer

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

Question 11

Simplify the expression and write the answer without negative exponents.
-$\left( - 9 x ^ { 3 } y \right) \left( - 10 x ^ { 4 } y ^ { 6 } \right)$

Accepted Answer

A)  $90 x ^ { 7 } y ^ { 7 }$ 
B)  $- 19 x ^ { 7 } y ^ { 6 }$ 
C)  $90 x ^ { 12 } y ^ { 6 }$ 
D)  $- 90 x ^ { 7 } y ^ { 6 }$ 
A)  $90 x ^ { 7 } y ^ { 7 }$ 
B)  $- 19 x ^ { 7 } y ^ { 6 }$ 
C)  $90 x ^ { 12 } y ^ { 6 }$ 
D)  $- 90 x ^ { 7 } y ^ { 6 }$

Question 12

Express in set builder notation the set of numbers indicated on the number line.
-

Accepted Answer

A)  $\{ x \mid x  5 \}$ 
D)  $\{ x \mid x \leq 5 \}$ 
A)  $\{ x \mid x  5 \}$ 
D)  $\{ x \mid x \leq 5 \}$

Question 13

Evaluate the expression.
-77 - 4 ·15 + 240 ÷ (-16)

Accepted Answer

A) -20 
B) 2 
C) 1080 
D) -1163 
A) -20 
B) 2 
C) 1080 
D) -1163

Question 14

Evaluate the expression.
-$\frac { 7 + ( - 4 ) ^ { 2 } + 5 \cdot 3 } { 5 \cdot ( 8 - 3 ) }$

Accepted Answer

A) 2 
B) 0 
C)  $\frac { 108 } { 37 }$ 
D)  $\frac { 38 } { 25 }$ 
A) 2 
B) 0 
C)  $\frac { 108 } { 37 }$ 
D)  $\frac { 38 } { 25 }$

Question 15

Evaluate the expression without using a calculator.
-$\left( \frac { 3 } { 7 } \right) ^ { 2 }$

Accepted Answer

A)  $\frac { 9 } { 7 }$ 
B)  $\frac { 49 } { 9 }$ 
C)  $\frac { 9 } { 49 }$ 
D)  $2 \frac { 3 } { 7 }$ 
A)  $\frac { 9 } { 7 }$ 
B)  $\frac { 49 } { 9 }$ 
C)  $\frac { 9 } { 49 }$ 
D)  $2 \frac { 3 } { 7 }$

Question 16

Evaluate.
--64 ÷ (-4)

Accepted Answer

A) 6 
B) -16 
C)  $\frac { 1 } { 16 }$ 
D) 16 
A) 6 
B) -16 
C)  $\frac { 1 } { 16 }$ 
D) 16

Question 17

Write an algebraic expression for the problem. Then evaluate the expression for the given value of the variable.
-Seven is added to the product of 3 and y. This expression is then multiplied by 3. Ten is then subtracted from this product. Find the value of the expression when y = -5.

Accepted Answer

A)  $3 ( 3 y + 7 - 10 ) , - 34$ 
B)  $3 ( 3 y + 7 - 10 ) , - 54$ 
C)  $3 ( 3 y + 7 ) - 10 , - 34$ 
D)  $3 ( 3 y + 7 ) - 10 , - 54$ 
A)  $3 ( 3 y + 7 - 10 ) , - 34$ 
B)  $3 ( 3 y + 7 - 10 ) , - 54$ 
C)  $3 ( 3 y + 7 ) - 10 , - 34$ 
D)  $3 ( 3 y + 7 ) - 10 , - 54$

Question 18

Insert eithernsert either  to to make the statement true.
--53 _____ -70

Accepted Answer

A) $>$ B) $<$ A) $>$ B) $<$

Question 19

Solve the problem.
-The temperature at 5:00 was -5° C. Four hours later, it was -10° C. What was the change in temperature?

Accepted Answer

A) 5° C 
B) 15° C 
C) -5° C 
D) -15° C 
A) 5° C 
B) 15° C 
C) -5° C 
D) -15° C

Question 20

Evaluate.
-$4 \left( \frac { 4 } { 3 } \right)$

Accepted Answer

A)  $- \frac { 16 } { 3 }$ 
B)  $\frac { 16 } { 3 }$ 
C) 3 
D) - 2 
A)  $- \frac { 16 } { 3 }$ 
B)  $\frac { 16 } { 3 }$ 
C) 3 
D) - 2

Name the property illustrated by the statement. -4x · (5x ·6y)= (4x ·5x)·6y

Evaluate. - $\frac { 1 } { 7 } + \left( - \frac { 1 } { 12 } \right)$

Determine whether the statement is true or false. - $\{ \ldots , - 7 , - 5 , - 3 , - 1,1,3,5,7 , \ldots \}$ is the set of odd natural numbers.

Evaluate the absolute value expression. - $- \left| - \frac { 6 } { 17 } \right|$

Simplify the expression and write the answer without negative exponents. - $\left( \frac { 9 x ^ { - 4 } } { 7 y ^ { - 4 } } \right) ^ { - 3 }$

Name the property illustrated by the statement. -5 · 1 = 5

Solve the problem. -The Neighborhood Lemonade Stand, Inc. reported net incomes of -$424, -$186, and -$449 for the past three years. What was its total net income for these three years?

Evaluate the expression. - $\frac { 2 + ( - 5 ) ^ { 2 } + 2 \cdot 4 ^ { 2 } } { 2 ^ { 2 } \cdot ( 6 - 5 ) }$

Express the number without exponents. - $6 \times 10 ^ { 4 }$

Name the property illustrated by the statement. - $8 ( x + 8 y + 4 ) = 8 x + 64 y + 32$

Simplify the expression and write the answer without negative exponents. - $\left( - 9 x ^ { 3 } y \right) \left( - 10 x ^ { 4 } y ^ { 6 } \right)$

Express in set builder notation the set of numbers indicated on the number line. -

Evaluate the expression. -77 - 4 ·15 + 240 ÷ (-16)

Evaluate the expression. - $\frac { 7 + ( - 4 ) ^ { 2 } + 5 \cdot 3 } { 5 \cdot ( 8 - 3 ) }$

Evaluate the expression without using a calculator. - $\left( \frac { 3 } { 7 } \right) ^ { 2 }$

Evaluate. --64 ÷ (-4)

Write an algebraic expression for the problem. Then evaluate the expression for the given value of the variable. -Seven is added to the product of 3 and y. This expression is then multiplied by 3. Ten is then subtracted from this product. Find the value of the expression when y = -5.

Insert eithernsert either $< \text { or } >$ to to make the statement true. --53 _____ -70

Solve the problem. -The temperature at 5:00 was -5° C. Four hours later, it was -10° C. What was the change in temperature?

Evaluate. - $4 \left( \frac { 4 } { 3 } \right)$

Equations and Inequalities

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions and Equations

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Characteristics of Functions and Their Graphs

Conic Sections

Sequences, Series, and Probability

Filters

Exam 1: Basic Concepts