Question 1

Simplify, where possible.
-$$4 x + 10 x$$

Accepted Answer

A)  $40 x$ 
B)  $14 x ^ { 2 }$ 
C)  $14 \mathrm { x }$ 
D)  $28 x$ 
A)  $40 x$ 
B)  $14 x ^ { 2 }$ 
C)  $14 \mathrm { x }$ 
D)  $28 x$

Question 2

Write the appropriate symbol, either , between the two integers.
-0 ___ -16

Accepted Answer

A)   
A)

Question 3

Simplify.
-4 ∙ 10 - 7 ∙ 3

Accepted Answer

A)  99 
B)  19 
C)  840 
D)  36 
A)  99 
B)  19 
C)  840 
D)  36

Question 4

Write the factor set of the number.
-53

Accepted Answer

A)  {1} 
B)  {53} 
C)  {1, 53} 
D)  {1, 19   53} 
A)  {1} 
B)  {53} 
C)  {1, 53} 
D)  {1, 19   53}

Question 5

Write the factor set of the number.
-105

Accepted Answer

A)  {1, 3   , 5   , 7   , 15   , 21   , 35   , 105} 
B)  {1, 3   , 5   , 7   , 15   , 21   , 105} 
C)  {1, 3   , 4   , 5   , 7   , 15   , 21   , 35   , 105} 
D)  {1, 3   , 5   , 7   , 15   , 35   , 105} 
A)  {1, 3   , 5   , 7   , 15   , 21   , 35   , 105} 
B)  {1, 3   , 5   , 7   , 15   , 21   , 105} 
C)  {1, 3   , 4   , 5   , 7   , 15   , 21   , 35   , 105} 
D)  {1, 3   , 5   , 7   , 15   , 35   , 105}

Question 6

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.
-$$3 \left( 9 x ^ { 2 } - x \right) + 6 x ^ { 2 } + x$$

Accepted Answer

A)  a) 2
b) $- 21 x ^ { 2 } , - 2 x$
c) $- 21 , - 2$ 
B)  a) 2
b) $15 x ^ { 2 } , - 2 x$
c) $15 , - 2$ 
C)  a) 1
b) $33 x ^ { 2 }$
c) 33 
D)  a) 2
b) $33 x ^ { 2 } , - 2 x$
c) $33 , - 2$ 
A)  a) 2
b) $- 21 x ^ { 2 } , - 2 x$
c) $- 21 , - 2$ 
B)  a) 2
b) $15 x ^ { 2 } , - 2 x$
c) $15 , - 2$ 
C)  a) 1
b) $33 x ^ { 2 }$
c) 33 
D)  a) 2
b) $33 x ^ { 2 } , - 2 x$
c) $33 , - 2$

Question 7

Evaluate the algebraic expression under the given conditions.
-$7 ( x + h ) - 3$ for $x = - 7$ and $h = 0.01$

Accepted Answer

A)  $- 51.93$ 
B)  $- 52.07$ 
C)  $- 51.99$ 
D)  $- 45.93$ 
A)  $- 51.93$ 
B)  $- 52.07$ 
C)  $- 51.99$ 
D)  $- 45.93$

Question 8

Simplify. Your answer should be in lowest terms.
-$2 \frac { 2 } { 3 } + 7 \frac { 5 } { 12 }$

Accepted Answer

A)  $9 \frac { 1 } { 12 }$ 
B)  $9 \frac { 13 } { 12 }$ 
C)  $10 \frac { 1 } { 12 }$ 
D)  $9 \frac { 7 } { 12 }$ 
A)  $9 \frac { 1 } { 12 }$ 
B)  $9 \frac { 13 } { 12 }$ 
C)  $10 \frac { 1 } { 12 }$ 
D)  $9 \frac { 7 } { 12 }$

Question 9

Subtract. Write your answer in lowest terms.
-$\frac { 9 } { 5 } - \frac { 5 } { 5 }$

Accepted Answer

A)  $\frac { 4 } { 5 }$ 
B)  9 
C)  $\frac { 14 } { 5 }$ 
D)  $\frac { 2 } { 5 }$ 
A)  $\frac { 4 } { 5 }$ 
B)  9 
C)  $\frac { 14 } { 5 }$ 
D)  $\frac { 2 } { 5 }$

Question 10

Simplify.
-$\frac { 3 } { 7 } \cdot \left( \frac { 3 } { 5 } - \frac { 1 } { 5 } \right)$

Accepted Answer

A)  $\frac { 7 } { 25 }$ 
B)  $\frac { 12 } { 25 }$ 
C)  $\frac { 2 } { 35 }$ 
D)  $\frac { 6 } { 35 }$ 
A)  $\frac { 7 } { 25 }$ 
B)  $\frac { 12 } { 25 }$ 
C)  $\frac { 2 } { 35 }$ 
D)  $\frac { 6 } { 35 }$

Question 11

Simplify.
-$\left( \frac { 2 } { 3 } - \frac { 1 } { 6 } \right) \div \left( \frac { 1 } { 4 } + \frac { 4 } { 5 } \right)$

Accepted Answer

A)  $\frac { 10 } { 63 }$ 
B)  $\frac { 14 } { 5 }$ 
C)  $\frac { 32 } { 63 }$ 
D)  $\frac { 10 } { 21 }$ 
A)  $\frac { 10 } { 63 }$ 
B)  $\frac { 14 } { 5 }$ 
C)  $\frac { 32 } { 63 }$ 
D)  $\frac { 10 } { 21 }$

Question 12

Multiply.
--4(2)

Accepted Answer

A)  -2 
B) -8 
C) - 2 
D) 8 
A)  -2 
B) -8 
C) - 2 
D) 8

Question 13

Simplify.
-$$2.7 - 1.1 \div 2.5 \cdot ( 1.7 - 2.1 ) ^ { 2 }$$

Accepted Answer

A)  4 
B)  $0.1024$ 
C)  $- 0.05$ 
D)  $2.6296$ 
A)  4 
B)  $0.1024$ 
C)  $- 0.05$ 
D)  $2.6296$

Question 14

Find the prime factorization of the number. If the number is prime, state this.
-183

Accepted Answer

A)  3 ∙ 61 
B)  3 ∙ 59 
C)  3 ∙ 3 ∙ 61 
D)  3 ∙ 3 
A)  3 ∙ 61 
B)  3 ∙ 59 
C)  3 ∙ 3 ∙ 61 
D)  3 ∙ 3

Question 15

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.
-$7 x ^ { 2 } - x - 7 \left( 4 x ^ { 2 } - 7 x + 2 \right)$

Accepted Answer

A)  a) 3
b) $- 21 x ^ { 2 } , - 8 x , 2$
c) $- 21 , - 8,2$ 
B)  a) 3
b) $- 21 x ^ { 2 } , 6 x , - 2$
c) $- 21,6 , - 2$ 
C)  a) 3
b) $- 21 x ^ { 2 } , - 50 x , - 14$
c) $- 21 , - 50 , - 14$ 
D)  a) 3
b) $- 21 \mathrm { x } ^ { 2 } , 48 \mathrm { x } , - 14$
c) $- 21,48 , - 14$ 
A)  a) 3
b) $- 21 x ^ { 2 } , - 8 x , 2$
c) $- 21 , - 8,2$ 
B)  a) 3
b) $- 21 x ^ { 2 } , 6 x , - 2$
c) $- 21,6 , - 2$ 
C)  a) 3
b) $- 21 x ^ { 2 } , - 50 x , - 14$
c) $- 21 , - 50 , - 14$ 
D)  a) 3
b) $- 21 \mathrm { x } ^ { 2 } , 48 \mathrm { x } , - 14$
c) $- 21,48 , - 14$

Question 16

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
-$| ? | + 6 = 7$

Accepted Answer

A)  1 
B)  $- 1,1$ 
C)  $- 13,13$ 
D)  13 
A)  1 
B)  $- 1,1$ 
C)  $- 13,13$ 
D)  13

Question 17

Answer the question.
-Is 14 a factor of 131?

Accepted Answer

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

Question 18

Divide, if possible.
--637 ÷ (-91)

Accepted Answer

A)  -3 
B)  $\frac { 1 } { 7 }$ 
C)  7 
D)  -7 
A)  -3 
B)  $\frac { 1 } { 7 }$ 
C)  7 
D)  -7

Question 19

Simplify, where possible.
-6(6m + 5)

Accepted Answer

A)  36m + 5 
B)  180m 
C)  6m + 30 
D)  36m + 30 
A)  36m + 5 
B)  180m 
C)  6m + 30 
D)  36m + 30

Question 20

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
-$10 \cdot | ? | + 8 = 38$

Accepted Answer

A)  3 
B)  20 
C)  $- 3,3$ 
D)  $- 24,24$ 
A)  3 
B)  20 
C)  $- 3,3$ 
D)  $- 24,24$

Simplify, where possible. - $4 x + 10 x$

Write the appropriate symbol, either < or >, between the two integers. -0 ___ -16

Simplify. -4 ∙ 10 - 7 ∙ 3

Write the factor set of the number. -53

Write the factor set of the number. -105

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. - $3 \left( 9 x ^ { 2 } - x \right) + 6 x ^ { 2 } + x$

Evaluate the algebraic expression under the given conditions. - $7 ( x + h ) - 3$ for $x = - 7$ and $h = 0.01$

Simplify. Your answer should be in lowest terms. - $2 \frac { 2 } { 3 } + 7 \frac { 5 } { 12 }$

Subtract. Write your answer in lowest terms. - $\frac { 9 } { 5 } - \frac { 5 } { 5 }$

Simplify. - $\frac { 3 } { 7 } \cdot \left( \frac { 3 } { 5 } - \frac { 1 } { 5 } \right)$

Simplify. - $\left( \frac { 2 } { 3 } - \frac { 1 } { 6 } \right) \div \left( \frac { 1 } { 4 } + \frac { 4 } { 5 } \right)$

Multiply. --4(2)

Simplify. - $2.7 - 1.1 \div 2.5 \cdot ( 1.7 - 2.1 ) ^ { 2 }$

Find the prime factorization of the number. If the number is prime, state this. -183

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. - $7 x ^ { 2 } - x - 7 \left( 4 x ^ { 2 } - 7 x + 2 \right)$

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 - $| ? | + 6 = 7$

Answer the question. -Is 14 a factor of 131?

Divide, if possible. --637 ÷ (-91)

Simplify, where possible. -6(6m + 5)

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 - $10 \cdot | ? | + 8 = 38$

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

Simplify, where possible. - 4x+10x4 x + 10 x4x+10x