Question 1

Simplify.
-$\frac { 6 ( 3 + 8 ) + 6 \cdot 3 } { 6 ( 4 - 1 ) }$

Accepted Answer

A)  $\frac { 18 } { 23 }$ 
B)  $\frac { 14 } { 3 }$ 
C)  $\frac { 39 } { 23 }$ 
D)  $\frac { 13 } { 6 }$ 
A)  $\frac { 18 } { 23 }$ 
B)  $\frac { 14 } { 3 }$ 
C)  $\frac { 39 } { 23 }$ 
D)  $\frac { 13 } { 6 }$

Question 2

Multiply. Write your answer in lowest terms.
-$\frac { 3 } { 4 } \cdot \frac { 1 } { 6 }$

Accepted Answer

A)  $\frac { 1 } { 8 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 2 } { 9 }$ 
D)  $\frac { 7 } { 48 }$ 
A)  $\frac { 1 } { 8 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 2 } { 9 }$ 
D)  $\frac { 7 } { 48 }$

Question 3

Simplify the decimal expression.
-2 ÷ 0.01

Accepted Answer

A)  2 
B)  20 
C)  0.2 
D)  200 
A)  2 
B)  20 
C)  0.2 
D)  200

Question 4

Evaluate the algebraic expression under the given conditions.
-$9 x + 7 y$ for $x = 4 , y = 2$

Accepted Answer

A)  46 
B)  64 
C)  50 
D)  32 
A)  46 
B)  64 
C)  50 
D)  32

Question 5

Simplify.
-$\frac { 3 \cdot 5 - 10 ^ { 3 } } { 5 + 4 \cdot 5 }$

Accepted Answer

A)  $\frac { 197 } { 3 }$ 
B)  $- \frac { 992 } { 25 }$ 
C)  $\frac { 203 } { 5 }$ 
D)  $- \frac { 197 } { 5 }$ 
A)  $\frac { 197 } { 3 }$ 
B)  $- \frac { 992 } { 25 }$ 
C)  $\frac { 203 } { 5 }$ 
D)  $- \frac { 197 } { 5 }$

Question 6

Simplify, where possible.
-- 2(3z - 8) - 1

Accepted Answer

A)  - 6z - 9 
B) 3z + 15 
C)  - 6z - 17 
D)  - 6z + 15 
A)  - 6z - 9 
B) 3z + 15 
C)  - 6z - 17 
D)  - 6z + 15

Question 7

Divide. Write your answer in lowest terms.
-$$- \frac { 2 } { 15 } \div \frac { 9 } { 16 }$$

Accepted Answer

A)  $- \frac { 31 } { 135 }$ 
B)  $- \frac { 2 } { 9 }$ 
C)  $- \frac { 32 } { 135 }$ 
D)  $- \frac { 32 } { 133 }$ 
A)  $- \frac { 31 } { 135 }$ 
B)  $- \frac { 2 } { 9 }$ 
C)  $- \frac { 32 } { 135 }$ 
D)  $- \frac { 32 } { 133 }$

Question 8

Simplify the given expression.
-1 ^152

Accepted Answer

A)  $\frac { 1 } { 152 }$ 
B)  1 
C)  152 
D)  undefined 
A)  $\frac { 1 } { 152 }$ 
B)  1 
C)  152 
D)  undefined

Question 9

Add.
-3 + (-37)

Accepted Answer

A)  -40 
B)  40 
C)  -34 
D)  34 
A)  -40 
B)  40 
C)  -34 
D)  34

Question 10

Find the median for the given values.
-4

Accepted Answer

A)  26.5 
B)  28 
C)  25 
D)  22.5 
A)  26.5 
B)  28 
C)  25 
D)  22.5

Question 11

Simplify. Your answer should be in lowest terms.
-$$- \frac { 1 } { 20 } - \frac { 4 } { 25 }$$

Accepted Answer

A)  $- \frac { 9 } { 100 }$ 
B)  $- \frac { 21 } { 100 }$ 
C)  $- \frac { 1 } { 5 }$ 
D)  $- \frac { 1 } { 20 }$ 
A)  $- \frac { 9 } { 100 }$ 
B)  $- \frac { 21 } { 100 }$ 
C)  $- \frac { 1 } { 5 }$ 
D)  $- \frac { 1 } { 20 }$

Question 12

Solve the problem.
-You withdraw $65 a week from a savings account for 6 weeks. What is the overall change in the account?

Accepted Answer

A)  -$71 
B)  -$390 
C)  $390 
D)  $71 
A)  -$71 
B)  -$390 
C)  $390 
D)  $71

Question 13

Find the missing number.
-87 __ 3 __ 4 __ 6 = 15

Accepted Answer

A)  (87 - 3) ∙ 4 ∙ 6 = 15 
B)  (87 - 3) ÷ 4 ∙ 6 = 15 
C)  87 ∙ 3 ÷ (4 ∙ 6) = 15 
D)  87 - 3 ∙ 4 ∙ 6 = 15 
A)  (87 - 3) ∙ 4 ∙ 6 = 15 
B)  (87 - 3) ÷ 4 ∙ 6 = 15 
C)  87 ∙ 3 ÷ (4 ∙ 6) = 15 
D)  87 - 3 ∙ 4 ∙ 6 = 15

Question 14

Find the mode, if it exists, for the given values.
-20, 37 $$46$$

Accepted Answer

A)  49 
B)  46 
C)  39.3 
D)  37 
A)  49 
B)  46 
C)  39.3 
D)  37

Question 15

Write the word or phrase that best completes each statement or answers the question.
-Sheila notes that if a = 20 and b = 20, then a - b = b - a = 0. She concludes that for any real
numbers a and b, a - b = b - a . Do you agree with her reasoning? If not, why not?

Accepted Answer

a - b is not equal to b - a for any a an

Question 16

Solve the problem.
-A college charges $209 per unit for tuition. If we let u represent the number of units that a student is taking, build a variable expression for the studentʹs tuition.

Accepted Answer

A)  209 + u 
B)  209 ÷ u 
C) u ÷ 209 
D)  209u 
A)  209 + u 
B)  209 ÷ u 
C) u ÷ 209 
D)  209u

Question 17

Subtract.
--37 - (-68)

Accepted Answer

A)  105 
B)  -31 
C)  -105 
D)  31 
A)  105 
B)  -31 
C)  -105 
D)  31

Question 18

Rewrite as a percent.
-$\frac { 11 } { 10 }$

Accepted Answer

A)  $110 \%$ 
B)  $22 \%$ 
C)  $55 \%$ 
D)  $11 \%$ 
A)  $110 \%$ 
B)  $22 \%$ 
C)  $55 \%$ 
D)  $11 \%$

Question 19

Subtract. Write your answer in lowest terms.
-$\frac { 3 } { 6 } - \frac { 8 } { 6 }$

Accepted Answer

A)  $\frac { 11 } { 6 }$ 
B)  $\frac { 5 } { 6 }$ 
C)  $- \frac { 5 } { 12 }$ 
D)  $- \frac { 5 } { 6 }$ 
A)  $\frac { 11 } { 6 }$ 
B)  $\frac { 5 } { 6 }$ 
C)  $- \frac { 5 } { 12 }$ 
D)  $- \frac { 5 } { 6 }$

Question 20

Rewrite the decimal as a fraction in lowest terms.
-0.0004

Accepted Answer

A)  $\frac { 1 } { 500 }$ 
B)  $\frac { 1 } { 25 }$ 
C)  $\frac { 1 } { 1250 }$ 
D)  $\frac { 1 } { 2500 }$ 
A)  $\frac { 1 } { 500 }$ 
B)  $\frac { 1 } { 25 }$ 
C)  $\frac { 1 } { 1250 }$ 
D)  $\frac { 1 } { 2500 }$

Simplify. - $\frac { 6 ( 3 + 8 ) + 6 \cdot 3 } { 6 ( 4 - 1 ) }$

Multiply. Write your answer in lowest terms. - $\frac { 3 } { 4 } \cdot \frac { 1 } { 6 }$

Simplify the decimal expression. -2 ÷ 0.01

Evaluate the algebraic expression under the given conditions. - $9 x + 7 y$ for $x = 4 , y = 2$

Simplify. - $\frac { 3 \cdot 5 - 10 ^ { 3 } } { 5 + 4 \cdot 5 }$

Simplify, where possible. -- 2(3z - 8) - 1

Divide. Write your answer in lowest terms. - $- \frac { 2 } { 15 } \div \frac { 9 } { 16 }$

Simplify the given expression. -1 ^152

Add. -3 + (-37)

Find the median for the given values. -4

Simplify. Your answer should be in lowest terms. - $- \frac { 1 } { 20 } - \frac { 4 } { 25 }$

Solve the problem. -You withdraw $65 a week from a savings account for 6 weeks. What is the overall change in the account?

Find the missing number. -87 3 4 __ 6 = 15

Find the mode, if it exists, for the given values. -20, 37 $46$

Write the word or phrase that best completes each statement or answers the question. -Sheila notes that if a = 20 and b = 20, then a - b = b - a = 0. She concludes that for any real numbers a and b, a - b = b - a . Do you agree with her reasoning? If not, why not?

Solve the problem. -A college charges $209 per unit for tuition. If we let u represent the number of units that a student is taking, build a variable expression for the studentʹs tuition.

Subtract. --37 - (-68)

Rewrite as a percent. - $\frac { 11 } { 10 }$

Subtract. Write your answer in lowest terms. - $\frac { 3 } { 6 } - \frac { 8 } { 6 }$

Rewrite the decimal as a fraction in lowest terms. -0.0004

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. - 6(3+8)+6⋅36(4−1)\frac { 6 ( 3 + 8 ) + 6 \cdot 3 } { 6 ( 4 - 1 ) }6(4−1)6(3+8)+6⋅3​

Multiply. Write your answer in lowest terms. - 34⋅16\frac { 3 } { 4 } \cdot \frac { 1 } { 6 }43​⋅61​