Question 1

Simplify. Your answer should be in lowest terms.
-$\frac { 8 } { 15 } \cdot \frac { ? } { 48 } = \frac { 1 } { 3 }$

Accepted Answer

A)  5 
B)  10 
C)  40 
D)  30 
A)  5 
B)  10 
C)  40 
D)  30

Question 2

Solve. Write your answer in simplest form.
-Brian was training to run a marathon. During the three-day period before the race he decided that he would train for a total of 12 hours. If he trained for $3 \frac { 2 } { 5 }$ hours on the first day and $3 \frac { 7 } { 10 }$ hours on the second day, how many hours would he need to train on the third day?

Accepted Answer

A)  $4 \frac { 9 } { 10 }$ hours 
B)  $5 \frac { 1 } { 10 }$ hours 
C)  5 hours 
D)  $5 \frac { 9 } { 10 }$ hours 
A)  $4 \frac { 9 } { 10 }$ hours 
B)  $5 \frac { 1 } { 10 }$ hours 
C)  5 hours 
D)  $5 \frac { 9 } { 10 }$ hours

Question 3

Evaluate the algebraic expression under the given conditions.
-$b ^ { 2 } - 4 a c$ for $b = - 3 , a = 3 , c = 4$

Accepted Answer

A)  $- 45$ 
B)  $- 39$ 
C)  $- 35$ 
D)  $- 49$ 
A)  $- 45$ 
B)  $- 39$ 
C)  $- 35$ 
D)  $- 49$

Question 4

Identify whether the given number is a member of the following sets of numbers: A. natural numbers, B. whole
numbers, C. integers, D. real numbers.
--6

Accepted Answer

A)  C, D 
B)  D 
C)  B, D 
D) A, B, C, D 
A)  C, D 
B)  D 
C)  B, D 
D) A, B, C, D

Question 5

Evaluate the algebraic expression under the given conditions.
-$a ^ { 3 } - 4 a - 8$ for $a = 4$

Accepted Answer

A)  40 
B)  16 
C)  72 
D)  232 
A)  40 
B)  16 
C)  72 
D)  232

Question 6

Subtract.
-(-6) - 2

Accepted Answer

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

Question 7

Rewrite as a percent.
-0.07

Accepted Answer

A)  70% 
B)  7% 
C)  0.7% 
D)  0.0007% 
A)  70% 
B)  7% 
C)  0.7% 
D)  0.0007%

Question 8

Simplify.
-100 ÷ (10 ÷ 2)

Accepted Answer

A)  5 
B)  20 
C)  10 
D)  95 
A)  5 
B)  20 
C)  10 
D)  95

Question 9

Write the factor set of the number.
-99

Accepted Answer

A)  {1, 3, 9   , 11   , 33   , 99} 
B)  {1, 3, 9   , 11   , 99} 
C)  {1, 3, 9   , 11   , 33} 
D)  {1, 3, 9   , 11   , 18   , 33   , 99} 
A)  {1, 3, 9   , 11   , 33   , 99} 
B)  {1, 3, 9   , 11   , 99} 
C)  {1, 3, 9   , 11   , 33} 
D)  {1, 3, 9   , 11   , 18   , 33   , 99}

Question 10

Find the LCM of the given numbers.
-4

Accepted Answer

A)  48 
B)  320 
C)  80 
D)  40 
A)  48 
B)  320 
C)  80 
D)  40

Question 11

Find the missing number.
-8 __ 5 __ 3 __ 10 = 10

Accepted Answer

A)  8 ∙ 5 ÷ 3 + 10 = 10 
B)  (8 ∙ 5 - 3) ∙ 10 = 10 
C)  8 ∙ 5 - 3 ∙ 10 = 10 
D)  8 - 5 ∙ 3 + 10 = 10 
A)  8 ∙ 5 ÷ 3 + 10 = 10 
B)  (8 ∙ 5 - 3) ∙ 10 = 10 
C)  8 ∙ 5 - 3 ∙ 10 = 10 
D)  8 - 5 ∙ 3 + 10 = 10

Question 12

Evaluate the algebraic expression under the given conditions.
-$4 ( - 6 x - 2 y )$ for $x = - 7 , y = 6$

Accepted Answer

A)  $- 6$ 
B)  $- 88$ 
C)  120 
D)  224 
A)  $- 6$ 
B)  $- 88$ 
C)  120 
D)  224

Question 13

Solve the problem.
-On a certain map, 1 inch equals 32 miles. How many miles are in $3 \frac { 1 } { 4 }$ inches?

Accepted Answer

A)  104 miles 
B)  $24 \frac { 1 } { 4 }$ miles 
C)  $9 \frac { 11 } { 13 }$ miles 
D)  25 miles 
A)  104 miles 
B)  $24 \frac { 1 } { 4 }$ miles 
C)  $9 \frac { 11 } { 13 }$ miles 
D)  25 miles

Question 14

Evaluate the algebraic expression under the given conditions.
-6(10 - x) for x = 5

Accepted Answer

A)  30 
B)  1 
C)  11 
D)  55 
A)  30 
B)  1 
C)  11 
D)  55

Question 15

Simplify, where possible.
-8x - y - 4(7x - 3y)

Accepted Answer

A)  -20x + 11y 
B)  -20x + 2y 
C)  -20x - 13y 
D)  -20x - 4y 
A)  -20x + 11y 
B)  -20x + 2y 
C)  -20x - 13y 
D)  -20x - 4y

Question 16

Simplify, where possible.
--(5x - 8)

Accepted Answer

A)  -5x + 8 
B) 40x 
C) -5x - 8 
D) 5x - 8 
A)  -5x + 8 
B) 40x 
C) -5x - 8 
D) 5x - 8

Question 17

Rewrite as a decimal.
-$18 \%$

Accepted Answer

A)  $1.8$ 
B)  $0.18$ 
C)  $0.07$ 
D)  $0.018$ 
A)  $1.8$ 
B)  $0.18$ 
C)  $0.07$ 
D)  $0.018$

Question 18

Rewrite as a fraction.
-$\frac { 5 } { 6 } \%$

Accepted Answer

A)  $\frac { 1 } { 60 }$ 
B)  $\frac { 1 } { 12 }$ 
C)  $\frac { 1 } { 120 }$ 
D)  $\frac { 1 } { 240 }$ 
A)  $\frac { 1 } { 60 }$ 
B)  $\frac { 1 } { 12 }$ 
C)  $\frac { 1 } { 120 }$ 
D)  $\frac { 1 } { 240 }$

Question 19

Multiply. Write your answer in lowest terms.
-$2 \cdot 8 \frac { 1 } { 10 }$

Accepted Answer

A)  $10 \frac { 1 } { 5 }$ 
B)  $16 \frac { 3 } { 5 }$ 
C)  $16 \frac { 1 } { 5 }$ 
D)  $16 \frac { 1 } { 10 }$ 
A)  $10 \frac { 1 } { 5 }$ 
B)  $16 \frac { 3 } { 5 }$ 
C)  $16 \frac { 1 } { 5 }$ 
D)  $16 \frac { 1 } { 10 }$

Question 20

Rewrite the decimal as a fraction in lowest terms.
-$0.392$

Accepted Answer

A)  $\frac { 49 } { 12 }$ 
B)  $\frac { 1 } { 392 }$ 
C)  $\frac { 1 } { 153,664 }$ 
D)  $\frac { 49 } { 125 }$ 
A)  $\frac { 49 } { 12 }$ 
B)  $\frac { 1 } { 392 }$ 
C)  $\frac { 1 } { 153,664 }$ 
D)  $\frac { 49 } { 125 }$

Simplify. Your answer should be in lowest terms. - $\frac { 8 } { 15 } \cdot \frac { ? } { 48 } = \frac { 1 } { 3 }$

Evaluate the algebraic expression under the given conditions. - $b ^ { 2 } - 4 a c$ for $b = - 3 , a = 3 , c = 4$

Identify whether the given number is a member of the following sets of numbers: A. natural numbers, B. whole numbers, C. integers, D. real numbers. --6

Evaluate the algebraic expression under the given conditions. - $a ^ { 3 } - 4 a - 8$ for $a = 4$

Subtract. -(-6) - 2

Rewrite as a percent. -0.07

Simplify. -100 ÷ (10 ÷ 2)

Write the factor set of the number. -99

Find the LCM of the given numbers. -4

Find the missing number. -8 5 3 __ 10 = 10

Evaluate the algebraic expression under the given conditions. - $4 ( - 6 x - 2 y )$ for $x = - 7 , y = 6$

Solve the problem. -On a certain map, 1 inch equals 32 miles. How many miles are in $3 \frac { 1 } { 4 }$ inches?

Evaluate the algebraic expression under the given conditions. -6(10 - x) for x = 5

Simplify, where possible. -8x - y - 4(7x - 3y)

Simplify, where possible. --(5x - 8)

Rewrite as a decimal. - $18 \%$

Rewrite as a fraction. - $\frac { 5 } { 6 } \%$

Multiply. Write your answer in lowest terms. - $2 \cdot 8 \frac { 1 } { 10 }$

Rewrite the decimal as a fraction in lowest terms. - $0.392$

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. Your answer should be in lowest terms. - 815⋅?48=13\frac { 8 } { 15 } \cdot \frac { ? } { 48 } = \frac { 1 } { 3 }158​⋅48?​=31​

Evaluate the algebraic expression under the given conditions. - b2−4acb ^ { 2 } - 4 a cb2−4ac for b=−3,a=3,c=4b = - 3 , a = 3 , c = 4b=−3,a=3,c=4