Question 1

Find the prime factorization of the number. If the number is prime, state this.
-180

Accepted Answer

A)  Prime 
B)  2 ∙ 3 ∙ 3 ∙ 3 ∙ 5 
C) 3 ∙ 3 ∙ 5 ∙ 5 
D) 2 ∙ 2 ∙ 3 ∙ 3 ∙ 5 
A)  Prime 
B)  2 ∙ 3 ∙ 3 ∙ 3 ∙ 5 
C) 3 ∙ 3 ∙ 5 ∙ 5 
D) 2 ∙ 2 ∙ 3 ∙ 3 ∙ 5

Question 2

Find the prime factorization of the number. If the number is prime, state this.
-63

Accepted Answer

A)  9 ∙ 3 
B) 7 ∙ 7 
C) 9∙ 7 
D) 3 ∙ 3 ∙ 7 
A)  9 ∙ 3 
B) 7 ∙ 7 
C) 9∙ 7 
D) 3 ∙ 3 ∙ 7

Question 3

Simplify.
-92 - 2 ∙ 3 ∙ 4

Accepted Answer

A)  1080 
B)  344 
C)  68 
D)  83 
A)  1080 
B)  344 
C)  68 
D)  83

Question 4

Convert the mixed number to an improper fraction.
-$7 \frac { 3 } { 5 }$

Accepted Answer

A)  $\frac { 35 } { 3 }$ 
B)  $\frac { 38 } { 5 }$ 
C)  $\frac { 38 } { 3 }$ 
D)  $\frac { 35 } { 5 }$ 
A)  $\frac { 35 } { 3 }$ 
B)  $\frac { 38 } { 5 }$ 
C)  $\frac { 38 } { 3 }$ 
D)  $\frac { 35 } { 5 }$

Question 5

Divide. Write your answer in lowest terms.
-$\frac { 5 } { 12 } \div \frac { 15 } { 48 }$

Accepted Answer

A)  $\frac { 20 } { 3 }$ 
B)  $\frac { 3 } { 4 }$ 
C)  $\frac { 25 } { 192 }$ 
D)  $\frac { 4 } { 3 }$ 
A)  $\frac { 20 } { 3 }$ 
B)  $\frac { 3 } { 4 }$ 
C)  $\frac { 25 } { 192 }$ 
D)  $\frac { 4 } { 3 }$

Question 6

Divide, if possible.
-57 ÷ (-3)

Accepted Answer

A)  -29 
B)  19 
C)  -19 
D)  $- \frac { 1 } { 19 }$ 
A)  -29 
B)  19 
C)  -19 
D)  $- \frac { 1 } { 19 }$

Question 7

Simplify.
--11 + (5 ∙ 4 + 30) ÷ 5

Accepted Answer

A)  -3 
B) -1 
C) 15 
D) 1 
A)  -3 
B) -1 
C) 15 
D) 1

Question 8

For the expression,
a) determine the number of terms;
b) write down each term; and
c) write down the coefficient for each.
Be sure to simplify the expression before answering.
-$$26 x ^ { 4 } - 21 x ^ { 3 } + 12 x ^ { 2 } - 11 x + 201$$

Accepted Answer

A)  a) 5
b) $26 x ^ { 4 } , 21 x ^ { 3 } , 12 x ^ { 2 } , 11 x , 201$
c) $26,21,12,11,201$ 
B)  a) 4
b) $5 x ^ { 3 } , 12 x ^ { 2 } , - 11 x , 201$
c) $5,12 , - 11,201$ 
C)  a) 4
b) $5 x ^ { 3 } , 12 x ^ { 2 } , 11 x , 201$
c) $5,12,11,201$ 
D)  a) 5
b) $26 x ^ { 4 } , - 21 x ^ { 3 } , 12 x ^ { 2 } , - 11 x , 201$
c) $26 , - 21,12 , - 11,201$ 
A)  a) 5
b) $26 x ^ { 4 } , 21 x ^ { 3 } , 12 x ^ { 2 } , 11 x , 201$
c) $26,21,12,11,201$ 
B)  a) 4
b) $5 x ^ { 3 } , 12 x ^ { 2 } , - 11 x , 201$
c) $5,12 , - 11,201$ 
C)  a) 4
b) $5 x ^ { 3 } , 12 x ^ { 2 } , 11 x , 201$
c) $5,12,11,201$ 
D)  a) 5
b) $26 x ^ { 4 } , - 21 x ^ { 3 } , 12 x ^ { 2 } , - 11 x , 201$
c) $26 , - 21,12 , - 11,201$

Question 9

Rewrite as a decimal.
-240%

Accepted Answer

A)  2.41 
B)  24 
C)  0.24 
D)  2.4 
A)  2.41 
B)  24 
C)  0.24 
D)  2.4

Question 10

Simplify, where possible.
-8x - y - 5(5x - 6y + 6z)

Accepted Answer

A)  -17x - 7y + 6z 
B)  -17x + 5y - 6z 
C)  -17x + 29y - 30z 
D)  -17x - 31y + 30z 
A)  -17x - 7y + 6z 
B)  -17x + 5y - 6z 
C)  -17x + 29y - 30z 
D)  -17x - 31y + 30z

Question 11

Simplify.
-$$\frac { 9 ^ { 2 } + ( 14 - 6 ) ^ { 2 } } { 24 \div 4 - ( 4 + 1 ) }$$

Accepted Answer

A)  241 
B)  145 
C)  59 
D)  3609 
A)  241 
B)  145 
C)  59 
D)  3609

Question 12

Find the missing number, if possible. There may be more than one number that works, so find as many as possible. If
no number works, write ʺNo number possible.ʺ
-$$| ? | = 21$$

Accepted Answer

A)  $- 21,21$ 
B)  $\frac { 1 } { 21 }$ 
C)  21 
D)  $- 21$ 
A)  $- 21,21$ 
B)  $\frac { 1 } { 21 }$ 
C)  21 
D)  $- 21$

Question 13

Add and simplify.
-$\frac { 5 } { 7 } + \frac { 2 } { 7 }$

Accepted Answer

A)  $\frac { 7 } { 7 }$ 
B)  $\frac { 7 } { 14 }$ 
C)  1 
D)  $\frac { 1 } { 2 }$ 
A)  $\frac { 7 } { 7 }$ 
B)  $\frac { 7 } { 14 }$ 
C)  1 
D)  $\frac { 1 } { 2 }$

Question 14

Simplify. Your answer should be in lowest terms.
-$$4 \frac { 2 } { 5 } + 9 \frac { 3 } { 8 }$$

Accepted Answer

A)  $42 \frac { 5 } { 13 }$ 
B)  $7 \frac { 6 } { 13 }$ 
C)  $13 \frac { 31 } { 40 }$ 
D)  $2 \frac { 17 } { 40 }$ 
A)  $42 \frac { 5 } { 13 }$ 
B)  $7 \frac { 6 } { 13 }$ 
C)  $13 \frac { 31 } { 40 }$ 
D)  $2 \frac { 17 } { 40 }$

Question 15

Solve the problem.
-Fahrenheit temperatures can be obtained from Celsius (centigrade) by multiplying by $1 \frac { 4 } { 5 }$ and adding $32 ^ { \circ }$. What Fahrenheit temperature corresponds to a Celsius temperature of $45 ^ { \circ }$ ?

Accepted Answer

A)  $138 \frac { 3 } { 5 } ^ { \circ } \mathrm { F }$ 
B)  $113 ^ { \circ } \mathrm { F }$ 
C)  $77 \frac { 4 } { 5 } { } ^ { \circ } \mathrm { F }$ 
D)  $68 ^ { \circ } \mathrm { F }$ 
A)  $138 \frac { 3 } { 5 } ^ { \circ } \mathrm { F }$ 
B)  $113 ^ { \circ } \mathrm { F }$ 
C)  $77 \frac { 4 } { 5 } { } ^ { \circ } \mathrm { F }$ 
D)  $68 ^ { \circ } \mathrm { F }$

Question 16

Find the LCM of the given numbers.
-27

Accepted Answer

A)  63 
B)  108 
C)  972 
D)  36 
A)  63 
B)  108 
C)  972 
D)  36

Question 17

Simplify. Your answer should be in lowest terms.
-$$\frac { 1 } { 5 } + \frac { 1 } { 15 }$$

Accepted Answer

A)  $\frac { 4 } { 5 }$ 
B)  $\frac { 4 } { 15 }$ 
C)  $\frac { 2 } { 15 }$ 
D)  $\frac { 1 } { 10 }$ 
A)  $\frac { 4 } { 5 }$ 
B)  $\frac { 4 } { 15 }$ 
C)  $\frac { 2 } { 15 }$ 
D)  $\frac { 1 } { 10 }$

Question 18

Find the missing number, if possible. There may be more than one number that works, so find as many as possible. If
no number works, write ʺNo number possible.ʺ
-$$| ? | = 0$$

Accepted Answer

A)  $- 1$ 
B)  No number possible. 
C)  1 
D)  0 
A)  $- 1$ 
B)  No number possible. 
C)  1 
D)  0

Question 19

Find the missing number, if possible. There may be more than one number that works, so find as many as possible. If
no number works, write ʺNo number possible.ʺ
-$10 \cdot | ? | - 2 = 18$

Accepted Answer

A)  $- 10,10$ 
B)  10 
C)  2 
D)  $- 2,2$ 
A)  $- 10,10$ 
B)  10 
C)  2 
D)  $- 2,2$

Question 20

Find the missing number.
-2? = 8

Accepted Answer

A)  3 
B)  4 
C)  2 
D)  -3 
A)  3 
B)  4 
C)  2 
D)  -3

Find the prime factorization of the number. If the number is prime, state this. -180

Find the prime factorization of the number. If the number is prime, state this. -63

Simplify. -92 - 2 ∙ 3 ∙ 4

Convert the mixed number to an improper fraction. - $7 \frac { 3 } { 5 }$

Divide. Write your answer in lowest terms. - $\frac { 5 } { 12 } \div \frac { 15 } { 48 }$

Divide, if possible. -57 ÷ (-3)

Simplify. --11 + (5 ∙ 4 + 30) ÷ 5

For the expression, a) determine the number of terms; b) write down each term; and c) write down the coefficient for each. Be sure to simplify the expression before answering. - $26 x ^ { 4 } - 21 x ^ { 3 } + 12 x ^ { 2 } - 11 x + 201$

Rewrite as a decimal. -240%

Simplify, where possible. -8x - y - 5(5x - 6y + 6z)

Simplify. - $\frac { 9 ^ { 2 } + ( 14 - 6 ) ^ { 2 } } { 24 \div 4 - ( 4 + 1 ) }$

Find the missing number, if possible. There may be more than one number that works, so find as many as possible. If no number works, write ʺNo number possible.ʺ - $| ? | = 21$

Add and simplify. - $\frac { 5 } { 7 } + \frac { 2 } { 7 }$

Simplify. Your answer should be in lowest terms. - $4 \frac { 2 } { 5 } + 9 \frac { 3 } { 8 }$

Solve the problem. -Fahrenheit temperatures can be obtained from Celsius (centigrade) by multiplying by $1 \frac { 4 } { 5 }$ and adding $32 ^ { \circ }$ . What Fahrenheit temperature corresponds to a Celsius temperature of $45 ^ { \circ }$ ?

Find the LCM of the given numbers. -27

Simplify. Your answer should be in lowest terms. - $\frac { 1 } { 5 } + \frac { 1 } { 15 }$

Find the missing number, if possible. There may be more than one number that works, so find as many as possible. If no number works, write ʺNo number possible.ʺ - $| ? | = 0$

Find the missing number, if possible. There may be more than one number that works, so find as many as possible. If no number works, write ʺNo number possible.ʺ - $10 \cdot | ? | - 2 = 18$

Find the missing number. -2? = 8

Linear Equations

Graphing Linear Equations

Systems of Equations

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

A Transition

Radical Expressions and Equations

Quadratic Equations

Functions

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 1: Review of Real Numbers