Question 1

Divide.
-$\frac { 4 } { 0.8 }$

Accepted Answer

A)  $3.2$ 
B)  $\frac { 1 } { 5 }$ 
C)  32 
D)  5 
A)  $3.2$ 
B)  $\frac { 1 } { 5 }$ 
C)  32 
D)  5

Question 2

Factor. Check by multiplying.
-2x - 8y

Accepted Answer

A) 2(x - 8y) 
B) 2(x - 4y) 
C) 4(2x - 2y) 
D) 2(x - y) 
A) 2(x - 8y) 
B) 2(x - 4y) 
C) 4(2x - 2y) 
D) 2(x - y)

Question 3

Multiply.
-$\left( \frac { 3 } { 7 } \right) \cdot \left( \frac { 5 } { 9 } \right) \cdot \left( - \frac { 1 } { 8 } \right)$

Accepted Answer

A)  $- \frac { 5 } { 168 }$ 
B)  $\frac { 1 } { 168 }$ 
C)  $\frac { 7 } { 24 }$ 
D)  $\frac { 5 } { 21 }$ 
A)  $- \frac { 5 } { 168 }$ 
B)  $\frac { 1 } { 168 }$ 
C)  $\frac { 7 } { 24 }$ 
D)  $\frac { 5 } { 21 }$

Question 4

Find the reciprocal, if it exists.
-13

Accepted Answer

A)  1 
B)  $- \frac { 1 } { 13 }$ 
C)  $- 13$ 
D)  $\frac { 1 } { 13 }$ 
A)  1 
B)  $- \frac { 1 } { 13 }$ 
C)  $- 13$ 
D)  $\frac { 1 } { 13 }$

Question 5

Solve the problem.
-A population of a rural town was 19,000. It decreased 350 each year for 6 yr. What was the population of the town after 6 yr?

Accepted Answer

A) 17,250 
B) 16,900 
C) 21,100 
D) 16,550 
A) 17,250 
B) 16,900 
C) 21,100 
D) 16,550

Question 6

Multiply.
-$\frac { 5 } { 6 } \cdot \frac { 5 } { 7 }$

Accepted Answer

A)  $\frac { 6 } { 7 }$ 
B)  $\frac { 25 } { 42 }$ 
C)  $\frac { 10 } { 13 }$ 
D)  $\frac { 42 } { 25 }$ 
A)  $\frac { 6 } { 7 }$ 
B)  $\frac { 25 } { 42 }$ 
C)  $\frac { 10 } { 13 }$ 
D)  $\frac { 42 } { 25 }$

Question 7

Insert  to write a true statement.
-65 _____$- 28$

Accepted Answer

A)  $65  - 28$ 
A)  $65  - 28$

Question 8

Insert  to write a true statement.
-$ -71 $___$ -41 $

Accepted Answer

A) -71 $> - 41$ B) $- 71 < - 41$ A) -71 $> - 41$ B) $- 71 < - 41$

Question 9

Multiply.
-$\left( - \frac { 7 } { 15 } \right) \left( \frac { 14 } { 27 } \right)$

Accepted Answer

A)  $- \frac { 10 } { 9 }$ 
B)  $\frac { 7 } { 405 }$ 
C)  $- \frac { 98 } { 405 }$ 
D)  $- \frac { 28 } { 3 }$ 
A)  $- \frac { 10 } { 9 }$ 
B)  $\frac { 7 } { 405 }$ 
C)  $- \frac { 98 } { 405 }$ 
D)  $- \frac { 28 } { 3 }$

Question 10

Collect like terms.
--11y - 2x - 9x

Accepted Answer

A) -22xy 
B) -11y + 7x 
C) -11y - 7x 
D) -11y - 11x 
A) -22xy 
B) -11y + 7x 
C) -11y - 7x 
D) -11y - 11x

Question 11

Subtract.
-68.32 - 40

Accepted Answer

A) 28.32 
B) 28.82 
C) 28.42 
D) 108.32 
A) 28.32 
B) 28.82 
C) 28.42 
D) 108.32

Question 12

Divide, if possible.
-$\frac { 12 } { - 2 }$

Accepted Answer

A)  $- 6$ 
B)  $- 5$ 
C)  6 
D)  $- 7$ 
A)  $- 6$ 
B)  $- 5$ 
C)  6 
D)  $- 7$

Question 13

Translate the phrase to an algebraic expression.
-Two divided by x

Accepted Answer

A)  $2 x$ 
B)  $\frac { 2 } { x }$ 
C)  $2 + x$ 
D)  $2 - x$ 
A)  $2 x$ 
B)  $\frac { 2 } { x }$ 
C)  $2 + x$ 
D)  $2 - x$

Question 14

Write an equivalent expression. Use a commutative law.
-2 + b

Accepted Answer

A) b2 
B) 2(1 + b) 
C) 2b 
D) b + 2 
A) b2 
B) 2(1 + b) 
C) 2b 
D) b + 2

Question 15

Multiply.
-$\left( - \frac { 4 } { 3 } \right) \left( - \frac { 4 } { 3 } \right)$

Accepted Answer

A)  $- \frac { 4 } { 9 }$ 
B)  1 
C)  -1 
D)  $\frac { 16 } { 9 }$ 
A)  $- \frac { 4 } { 9 }$ 
B)  1 
C)  -1 
D)  $\frac { 16 } { 9 }$

Question 16

Evaluate -(-x) for the given value of x.
-$$x = \frac { 11 } { 9 }$$

Accepted Answer

A)  $- \frac { 11 } { 9 }$ 
B)  $\frac { 9 } { 11 }$ 
C)  $\frac { 11 } { 9 }$ 
D)  $- \frac { 9 } { 11 }$ 
A)  $- \frac { 11 } { 9 }$ 
B)  $\frac { 9 } { 11 }$ 
C)  $\frac { 11 } { 9 }$ 
D)  $- \frac { 9 } { 11 }$

Question 17

Evaluate -x for the given value of x.
-x = 2.021

Accepted Answer

A) -2.021 
B) -2 
C) -3 
D) 2.021 
A) -2.021 
B) -2 
C) -3 
D) 2.021

Question 18

Write an equivalent expression. Use an associative law.
-$3 + ( s + t )$

Accepted Answer

A)  $( s + t ) + 3$ 
B)  $( 3 + s ) + t$ 
C)  $3 + ( t + s )$ 
D)  $3 ( s + t )$ 
A)  $( s + t ) + 3$ 
B)  $( 3 + s ) + t$ 
C)  $3 + ( t + s )$ 
D)  $3 ( s + t )$

Question 19

Rewrite the division as a multiplication.
-9 ÷ 25

Accepted Answer

A)  $- 9 \cdot 25$ 
B)  $9 \cdot \frac { 1 } { 25 }$ 
C)  $9 \cdot - 25$ 
D)  $25 \cdot \frac { 1 } { 9 }$ 
A)  $- 9 \cdot 25$ 
B)  $9 \cdot \frac { 1 } { 25 }$ 
C)  $9 \cdot - 25$ 
D)  $25 \cdot \frac { 1 } { 9 }$

Question 20

Substitute to find the value of the expression.
-A plane flies at 685 miles per hour. The time, in hours, for the plane to travel a distance of $d$ miles is $\frac { d } { 685 }$. How long will it take for the plane to travel 8220 miles?

Accepted Answer

A)  $12 \mathrm { hr }$ 
B)  $0.08 \mathrm { hr }$ 
C)  $15 \mathrm { hr }$ 
D)  $5,630,700 \mathrm { hr }$ 
A)  $12 \mathrm { hr }$ 
B)  $0.08 \mathrm { hr }$ 
C)  $15 \mathrm { hr }$ 
D)  $5,630,700 \mathrm { hr }$

Divide. - $\frac { 4 } { 0.8 }$

Factor. Check by multiplying. -2x - 8y

Multiply. - $\left( \frac { 3 } { 7 } \right) \cdot \left( \frac { 5 } { 9 } \right) \cdot \left( - \frac { 1 } { 8 } \right)$

Find the reciprocal, if it exists. -13

Solve the problem. -A population of a rural town was 19,000. It decreased 350 each year for 6 yr. What was the population of the town after 6 yr?

Multiply. - $\frac { 5 } { 6 } \cdot \frac { 5 } { 7 }$

Insert < or > to write a true statement. -65 _____ $- 28$

Insert < or > to write a true statement. - $-71$ ___ $-41$

Multiply. - $\left( - \frac { 7 } { 15 } \right) \left( \frac { 14 } { 27 } \right)$

Collect like terms. --11y - 2x - 9x

Subtract. -68.32 - 40

Divide, if possible. - $\frac { 12 } { - 2 }$

Translate the phrase to an algebraic expression. -Two divided by x

Write an equivalent expression. Use a commutative law. -2 + b

Multiply. - $\left( - \frac { 4 } { 3 } \right) \left( - \frac { 4 } { 3 } \right)$

Evaluate -(-x) for the given value of x. - $x = \frac { 11 } { 9 }$

Evaluate -x for the given value of x. -x = 2.021

Write an equivalent expression. Use an associative law. - $3 + ( s + t )$

Rewrite the division as a multiplication. -9 ÷ 25

Substitute to find the value of the expression. -A plane flies at 685 miles per hour. The time, in hours, for the plane to travel a distance of $d$ miles is $\frac { d } { 685 }$ . How long will it take for the plane to travel 8220 miles?

Solving Equations and Inequalities

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Polynomials: Operations

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Exam 1: Introduction to Real Numbers and Algebraic Expressions

Divide. - 40.8\frac { 4 } { 0.8 }0.84​