Question 1

Simplify.
- 5mn+7+2mn+9

Accepted Answer

A)   25mn 
B)   7mn+7 
C)   7mn+16 
D)   5mn+16 
A)   25mn 
B)   7mn+7 
C)   7mn+16 
D)   5mn+16

Question 2

Add or subtract as indicated.
--4.1-8.2

Accepted Answer

A)   -4.1 
B)   12.3 
C)   -12.3 
D)   4.1 
A)   -4.1 
B)   12.3 
C)   -12.3 
D)   4.1

Question 3

Complete the statement to illustrate the given property.
- 5+x=_____  Commutative property of addition

Accepted Answer

A)   -x-5 
B)   5-x 
C)   x-5 
D)   x+5 
A)   -x-5 
B)   5-x 
C)   x-5 
D)   x+5

Question 4

Determine if the statement is true or false.
--45<0

Accepted Answer

A) True 
 B)False

Question 5

Complete the statement to illustrate the given property.
- 6(r+k)=_________ Distributive property

Accepted Answer

A)   6r +k 
B)   r(6+k) 
C)   6r + 6k 
D)   6r-6k 
A)   6r +k 
B)   r(6+k) 
C)   6r + 6k 
D)   6r-6k

Question 6

Find the absolute value.
-$- | 36 |$

Accepted Answer

A)  36 
B)   -36 
C)  $\frac { 1 } { 36 }$ 
D)   $- \frac { 1 } { 36 }$ 
A)  36 
B)   -36 
C)  $\frac { 1 } { 36 }$ 
D)   $- \frac { 1 } { 36 }$

Question 7

Complete the statement to illustrate the given property.
-$2 \cdot 1 =$_________ Multiplicative identity property

Accepted Answer

A)  1 
B)   -2 
C)  2 
D)   -1 
A)  1 
B)   -2 
C)  2 
D)   -1

Question 8

Insert $ \text {, or } =$ to in the space provided to form a true statement.
- 2.7___________-5.8

Accepted Answer

A) 2.7>-5.8 B) 2.7=-5.8 C) 2.7<-5.8 A) 2.7>-5.8 B) 2.7=-5.8 C) 2.7<-5.8

Question 9

Write the phrase as a variable expression. Use x to represent "a number."
-The product of 4 and a number

Accepted Answer

A)   4x 
B)   4+x 
C)   4-x 
D)  $\frac { 4 } { x }$ 
A)   4x 
B)   4+x 
C)   4-x 
D)  $\frac { 4 } { x }$

Question 10

Simplify the expression.
--18 + (5 ·2 + 40) ÷ 5

Accepted Answer

A)  0 
B)  8 
C)  4 
D)  -8 
A)  0 
B)  8 
C)  4 
D)  -8

Question 11

Simplify the expression.
-$3 ( 6 - 10 ) ^ { 2 }$

Accepted Answer

A)   -12 
B)   -48 
C)  48 
D)  16 
A)   -12 
B)   -48 
C)  48 
D)  16

Question 12

Add or subtract as indicated.
- 10.3-6.9

Accepted Answer

A)   -3.4 
B)   17.2 
C)   -17.2 
D)   3.4 
A)   -3.4 
B)   17.2 
C)   -17.2 
D)   3.4

Question 13

Simplify and write with positive exponents only.
-$\frac { x ^ { - 9 } } { x ^ { 4 } }$

Accepted Answer

A)  $\frac { 1 } { x ^ { 36 } }$ 
B)  $\times 13$ 
C)  $\frac { 1 } { \times 13 }$ 
D)  $\frac { 1 } { x ^ { 5 } }$ 
A)  $\frac { 1 } { x ^ { 36 } }$ 
B)  $\times 13$ 
C)  $\frac { 1 } { \times 13 }$ 
D)  $\frac { 1 } { x ^ { 5 } }$

Question 14

Simplify. Write the answer using positive exponents only.
-$\frac { \left( 5 x y ^ { 3 } z ^ { - 3 } \right) ^ { 3 } } { \left( 2 x ^ { 5 } y z ^ { - 3 } \right) ^ { - 1 } }$

Accepted Answer

A)  $\frac { 250 x ^ { 8 } y ^ { 10 } } { z ^ { 12 } }$ 
B)  - $\frac { 125 x ^ { 8 } y ^ { 10 } } { 2 z ^ { 12 } }$ 
C) - $\frac { 125 y ^ { 10 } } { 2 x ^ { 2 } z ^ { 12 } }$ 
D)  $\frac { 250 y ^ { 10 } } { x ^ { 4 } z ^ { 12 } }$ 
A)  $\frac { 250 x ^ { 8 } y ^ { 10 } } { z ^ { 12 } }$ 
B)  - $\frac { 125 x ^ { 8 } y ^ { 10 } } { 2 z ^ { 12 } }$ 
C) - $\frac { 125 y ^ { 10 } } { 2 x ^ { 2 } z ^ { 12 } }$ 
D)  $\frac { 250 y ^ { 10 } } { x ^ { 4 } z ^ { 12 } }$

Question 15

Simplify and write with positive exponents only.
-$\frac { 6 ^ { - 5 } } { 6 ^ { - 3 } }$

Accepted Answer

A)  36 
B)   -36 
C)   $\frac { 1 } { 36 }$ 
D)  - $\frac { 1 } { 36 }$ 
A)  36 
B)   -36 
C)   $\frac { 1 } { 36 }$ 
D)  - $\frac { 1 } { 36 }$

Question 16

Find the opposite (or additive inverse) of the number.
- -2.2

Accepted Answer

A)  0 
B)   2.2 
C)   -2.2 
D)  $\frac { 1 } { - 2.2 }$. 
A)  0 
B)   2.2 
C)   -2.2 
D)  $\frac { 1 } { - 2.2 }$.

Question 17

Write the phrase as a variable expression. Use x to represent "a number."
-3 more than 6 times a number

Accepted Answer

A)   3x+6 
B)   6(3+x) 
C)   6x+3 
D)   9x 
A)   3x+6 
B)   6(3+x) 
C)   6x+3 
D)   9x

Question 18

Multiply or divide as indicated.
-$\frac { - 14 } { 0 }$

Accepted Answer

A)  0 
B)   -14 
C)  14 
D)  undefined 
A)  0 
B)   -14 
C)  14 
D)  undefined

Question 19

Simplify the expression.
-$\frac { 32 - ( - 8 ) } { - 10 }$

Accepted Answer

A)  4 
B)  3 
C)   -3 
D)   -4 
A)  4 
B)  3 
C)   -3 
D)   -4

Question 20

Multiply or divide as indicated.
-$\frac { 4 } { 5 } \div \left( - \frac { 2 } { 5 } \right)$

Accepted Answer

A)   -2 
B)  $\frac { 1 } { 2 }$ 
C)  2 
D)  $- \frac { 8 } { 25 }$ 
A)   -2 
B)  $\frac { 1 } { 2 }$ 
C)  2 
D)  $- \frac { 8 } { 25 }$

Simplify. - 5mn+7+2mn+9

Add or subtract as indicated. --4.1-8.2

Complete the statement to illustrate the given property. - 5+x=_____ Commutative property of addition

Determine if the statement is true or false. --45<0

Complete the statement to illustrate the given property. - 6(r+k)=_________ Distributive property

Find the absolute value. - $- | 36 |$

Complete the statement to illustrate the given property. - $2 \cdot 1 =$ _________ Multiplicative identity property

Insert $< , > \text {, or } =$ to in the space provided to form a true statement. - 2.7___________-5.8

Write the phrase as a variable expression. Use x to represent "a number." -The product of 4 and a number

Simplify the expression. --18 + (5 ·2 + 40) ÷ 5

Simplify the expression. - $3 ( 6 - 10 ) ^ { 2 }$

Add or subtract as indicated. - 10.3-6.9

Simplify and write with positive exponents only. - $\frac { x ^ { - 9 } } { x ^ { 4 } }$

Simplify. Write the answer using positive exponents only. - $\frac { \left( 5 x y ^ { 3 } z ^ { - 3 } \right) ^ { 3 } } { \left( 2 x ^ { 5 } y z ^ { - 3 } \right) ^ { - 1 } }$

Simplify and write with positive exponents only. - $\frac { 6 ^ { - 5 } } { 6 ^ { - 3 } }$

Find the opposite (or additive inverse) of the number. - -2.2

Write the phrase as a variable expression. Use x to represent "a number." -3 more than 6 times a number

Multiply or divide as indicated. - $\frac { - 14 } { 0 }$

Simplify the expression. - $\frac { 32 - ( - 8 ) } { - 10 }$

Multiply or divide as indicated. - $\frac { 4 } { 5 } \div \left( - \frac { 2 } { 5 } \right)$

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Fractions

Filters

Exam 1: Real Numbers and Algebraic Expressions