Question 1

Simplify, where possible.
-$$8 x - 5 x$$

Accepted Answer

A)  $3 x$ 
B)  $- 3 x$ 
C)  $13 x$ 
D)  $3 x ^ { 2 }$ 
A)  $3 x$ 
B)  $- 3 x$ 
C)  $13 x$ 
D)  $3 x ^ { 2 }$

Question 2

Simplify the decimal expression.
--9.066 - 1.322

Accepted Answer

A)  -7.744 
B)  -10.388 
C)  7.744 
D)  -11.388 
A)  -7.744 
B)  -10.388 
C)  7.744 
D)  -11.388

Question 3

Subtract. Write your answer in lowest terms.
-$\frac { 41 } { 55 } - \frac { 33 } { 55 }$

Accepted Answer

A)  $1 \frac { 19 } { 55 }$ 
B)  $24 \frac { 3 } { 5 }$ 
C)  $\frac { 4 } { 55 }$ 
D)  $\frac { 8 } { 55 }$ 
A)  $1 \frac { 19 } { 55 }$ 
B)  $24 \frac { 3 } { 5 }$ 
C)  $\frac { 4 } { 55 }$ 
D)  $\frac { 8 } { 55 }$

Question 4

Find the prime factorization of the number. If the number is prime, state this.
-792

Accepted Answer

A)  2 ∙ 2 ∙ 2 ∙ 3 ∙ 3 ∙ 11 
B)  2 ∙ 2 ∙ 2 ∙ 3 ∙ 3 ∙ 3 ∙ 11 
C)  2 ∙ 2 ∙ 2 ∙ 2 ∙ 3 ∙ 11 
D)  2 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 11 
A)  2 ∙ 2 ∙ 2 ∙ 3 ∙ 3 ∙ 11 
B)  2 ∙ 2 ∙ 2 ∙ 3 ∙ 3 ∙ 3 ∙ 11 
C)  2 ∙ 2 ∙ 2 ∙ 2 ∙ 3 ∙ 11 
D)  2 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 11

Question 5

Multiply.
--8(-2)(-10) ∙ 10(-9)(0)

Accepted Answer

A)  14,400 
B)  -14,400 
C)  -1591 
D)  0 
A)  14,400 
B)  -14,400 
C)  -1591 
D)  0

Question 6

Solve the problem.
-Mike filled his carʹs gas tank and noted that the odometer read 27,818.3. After the next filling, the odometer read 28,502.0. It took 21.5 gal to fill the tank. How many miles per gallon did the car get?

Accepted Answer

A)  32.1 mpg 
B)  32.8 mpg 
C)  31.1 mpg 
D)  31.8 mpg 
A)  32.1 mpg 
B)  32.8 mpg 
C)  31.1 mpg 
D)  31.8 mpg

Question 7

Rewrite the fraction as a decimal number.
-$7 \frac { 1 } { 5 }$

Accepted Answer

A)  1.2 
B)  7.2 
C)  2.6 
D)  36 
A)  1.2 
B)  7.2 
C)  2.6 
D)  36

Question 8

Answer the question.
-Is 4 a factor of 308?

Accepted Answer

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

Question 9

Simplify.
-$\frac { 2 } { 3 } \div \frac { 1 } { 6 } \cdot \left( \frac { 3 } { 10 } - \frac { 1 } { 2 } \right)$

Accepted Answer

A)  $- 20$ 
B)  1 
C)  $- \frac { 4 } { 5 }$ 
D)  $- \frac { 1 } { 45 }$ 
A)  $- 20$ 
B)  1 
C)  $- \frac { 4 } { 5 }$ 
D)  $- \frac { 1 } { 45 }$

Question 10

Simplify.
-53 + 8 ∙ 255 ÷ 5

Accepted Answer

A)  461 
B)  93 
C)  3111 
D)  305 
A)  461 
B)  93 
C)  3111 
D)  305

Question 11

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
-|?| = 2

Accepted Answer

A)  $- 2$ 
B)  No number possible. 
C)  2 
D)  $- 2,2$ 
A)  $- 2$ 
B)  No number possible. 
C)  2 
D)  $- 2,2$

Question 12

Simplify. Your answer should be in lowest terms.
-$\frac { 7 } { 12 } - \frac { 1 } { 9 }$

Accepted Answer

A)  $\frac { 25 } { 36 }$ 
B)  $\frac { 17 } { 36 }$ 
C)  2 
D)  0 
A)  $\frac { 25 } { 36 }$ 
B)  $\frac { 17 } { 36 }$ 
C)  2 
D)  0

Question 13

Simplify, where possible.
--2(5m - 2) - 3(2m - 5)

Accepted Answer

A)  -16m - 7 
B) -16m - 19 
C)  7m + 19 
D)  -16m + 19 
A)  -16m - 7 
B) -16m - 19 
C)  7m + 19 
D)  -16m + 19

Question 14

Simplify. Your answer should be in lowest terms.
-$$12 \frac { 1 } { 5 } - 4 \frac { 11 } { 20 }$$

Accepted Answer

A)  $7 \frac { 13 } { 20 }$ 
B)  $7 \frac { 2 } { 3 }$ 
C)  $8 \frac { 13 } { 20 }$ 
D)  $7 \frac { 7 } { 20 }$ 
A)  $7 \frac { 13 } { 20 }$ 
B)  $7 \frac { 2 } { 3 }$ 
C)  $8 \frac { 13 } { 20 }$ 
D)  $7 \frac { 7 } { 20 }$

Question 15

Simplify the given expression.
-$$- 2 ^ { 2 } \cdot ( - 4 ) ^ { 3 }$$

Accepted Answer

A)  48 
B)  256 
C)  $- 324$ 
D)  $- 256$ 
A)  48 
B)  256 
C)  $- 324$ 
D)  $- 256$

Question 16

Simplify the decimal expression.
-18.900 - 7.910

Accepted Answer

A)  11.090 
B)  10.890 
C)  10.990 
D)  26.810 
A)  11.090 
B)  10.890 
C)  10.990 
D)  26.810

Question 17

Simplify. Your answer should be in lowest terms.
-$\frac { 2 } { 5 } - \frac { 1 } { 13 } + \frac { 1 } { 4 }$

Accepted Answer

A)  $\frac { 59 } { 260 }$ 
B)  $\frac { 19 } { 260 }$ 
C)  $-\frac { 1 } { 2 }$ 
D)  $\frac { 149 } { 260 }$ 
A)  $\frac { 59 } { 260 }$ 
B)  $\frac { 19 } { 260 }$ 
C)  $-\frac { 1 } { 2 }$ 
D)  $\frac { 149 } { 260 }$

Question 18

Rewrite as a fraction.
-1%

Accepted Answer

A)  $\frac { 1 } { 100 }$ 
B)  $\frac { 1 } { 1000 }$ 
C)  1 
D)  $\frac { 1 } { 10 }$ 
A)  $\frac { 1 } { 100 }$ 
B)  $\frac { 1 } { 1000 }$ 
C)  1 
D)  $\frac { 1 } { 10 }$

Question 19

Provide an appropriate response.
-When a certain integer is divided by -3 $\text { the result is }$

Accepted Answer

A)  0 
B)  - 1 
C) -9 
D) 9 
A)  0 
B)  - 1 
C) -9 
D) 9

Question 20

Find the prime factorization of the number. If the number is prime, state this.
-110

Accepted Answer

A)  5 ∙ 5 ∙ 2 
B) 2 ∙ 5 ∙ 11 
C)  2 ∙ 2 ∙ 11 
D)  10 ∙ 11 
A)  5 ∙ 5 ∙ 2 
B) 2 ∙ 5 ∙ 11 
C)  2 ∙ 2 ∙ 11 
D)  10 ∙ 11

Simplify, where possible. - $8 x - 5 x$

Simplify the decimal expression. --9.066 - 1.322

Subtract. Write your answer in lowest terms. - $\frac { 41 } { 55 } - \frac { 33 } { 55 }$

Find the prime factorization of the number. If the number is prime, state this. -792

Multiply. --8(-2)(-10) ∙ 10(-9)(0)

Solve the problem. -Mike filled his carʹs gas tank and noted that the odometer read 27,818.3. After the next filling, the odometer read 28,502.0. It took 21.5 gal to fill the tank. How many miles per gallon did the car get?

Rewrite the fraction as a decimal number. - $7 \frac { 1 } { 5 }$

Answer the question. -Is 4 a factor of 308?

Simplify. - $\frac { 2 } { 3 } \div \frac { 1 } { 6 } \cdot \left( \frac { 3 } { 10 } - \frac { 1 } { 2 } \right)$

Simplify. -53 + 8 ∙ 255 ÷ 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 -|?| = 2

Simplify. Your answer should be in lowest terms. - $\frac { 7 } { 12 } - \frac { 1 } { 9 }$

Simplify, where possible. --2(5m - 2) - 3(2m - 5)

Simplify. Your answer should be in lowest terms. - $12 \frac { 1 } { 5 } - 4 \frac { 11 } { 20 }$

Simplify the given expression. - $- 2 ^ { 2 } \cdot ( - 4 ) ^ { 3 }$

Simplify the decimal expression. -18.900 - 7.910

Simplify. Your answer should be in lowest terms. - $\frac { 2 } { 5 } - \frac { 1 } { 13 } + \frac { 1 } { 4 }$

Rewrite as a fraction. -1%

Provide an appropriate response. -When a certain integer is divided by -3 $\text { the result is }$

Find the prime factorization of the number. If the number is prime, state this. -110

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. - 8x−5x8 x - 5 x8x−5x