Question 1

Simplify.
-$$\frac { 7 \cdot ( 6 + 8 ) + 7 \cdot 2 } { 7 \cdot ( 6 - 1 ) }$$

Accepted Answer

A)  $3 \frac { 1 } { 5 }$ 
B)  $2 \frac { 30 } { 41 }$ 
C)  $2 \frac { 32 } { 41 }$ 
D)  2 
A)  $3 \frac { 1 } { 5 }$ 
B)  $2 \frac { 30 } { 41 }$ 
C)  $2 \frac { 32 } { 41 }$ 
D)  2

Question 2

Collect like terms.
-$$6 x + 0.9 y - 2.4 x + 7 y$$

Accepted Answer

A)  $6 x - 2.4 x + 0.9 y + 7 y$ 
B)  $3.6 x + 0.9 y + 7$ 
C)  $7.9 x + 3.6 y$ 
D)  $3.6 x + 7.9 y$ 
A)  $6 x - 2.4 x + 0.9 y + 7 y$ 
B)  $3.6 x + 0.9 y + 7$ 
C)  $7.9 x + 3.6 y$ 
D)  $3.6 x + 7.9 y$

Question 3

Remove parentheses and simplify.
--10(3r + 4)+ 2(10r + 8)

Accepted Answer

A) -70r 
B) -10r - 24 
C) -7r - 6 
D) -10r + 4 
A) -70r 
B) -10r - 24 
C) -7r - 6 
D) -10r + 4

Question 4

Substitute to find the value of the expression.
-A train must cover a distance of 2673 miles. The velocity, in miles per hour, of the train is $\frac { 2673 } { t }$ where $t$ is the time, in hours, to complete the trip. If the train completes the trip in 27 hours, what is its velocity?

Accepted Answer

A)  $94 \mathrm { mph }$ 
B)  $99 \mathrm { mph }$ 
C)  $0.01 \mathrm { mph }$ 
D)  $72,171 \mathrm { mph }$ 
A)  $94 \mathrm { mph }$ 
B)  $99 \mathrm { mph }$ 
C)  $0.01 \mathrm { mph }$ 
D)  $72,171 \mathrm { mph }$

Question 5

Translate the phrase to an algebraic expression.
-x subtracted from y

Accepted Answer

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

Question 6

Add. Do not use a number line except as a check.
-$- \frac { 1 } { 8 } + \left( - \frac { 5 } { 8 } \right)$

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B)  $- \frac { 3 } { 4 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $- \frac { 1 } { 2 }$ 
A)  $\frac { 1 } { 2 }$ 
B)  $- \frac { 3 } { 4 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $- \frac { 1 } { 2 }$

Question 7

Graph the numbers on a number line.
-$$- 5.75 , - 3 , - 1,1.25$$

Accepted Answer

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

Question 8

Find an equivalent expression with the given denominator.
-$$\frac { 4 } { 5 } = \frac { ? } { 15 x }$$

Accepted Answer

A)  $\frac { 4 x } { 15 x }$ 
B)  $\frac { 9 x } { 15 x }$ 
C)  $\frac { 12 x } { 15 x }$ 
D)  $\frac { 12 } { 15 x }$ 
A)  $\frac { 4 x } { 15 x }$ 
B)  $\frac { 9 x } { 15 x }$ 
C)  $\frac { 12 x } { 15 x }$ 
D)  $\frac { 12 } { 15 x }$

Question 9

Substitute to find the value of the expression.
-Bill takes four times as long to do a job as Jose. Suppose $t$ represents the time it takes Bill to do the job. Then $t / 4$ represents the time it takes Jose. How long does it take Jose if it takes Bill 63 minutes?

Accepted Answer

A)  $252.00 \mathrm {~min}$ 
B)  $59.00 \mathrm {~min}$ 
C)  $67.00 \mathrm {~min}$ 
D)  $15.75 \mathrm {~min}$ 
A)  $252.00 \mathrm {~min}$ 
B)  $59.00 \mathrm {~min}$ 
C)  $67.00 \mathrm {~min}$ 
D)  $15.75 \mathrm {~min}$

Question 10

Remove parentheses and simplify.
-(9x - 6y + 3)- 2(-9x + 6y - 3)

Accepted Answer

A) -27x + 18y - 9 
B) -18x + 12y - 6 
C) 18x - 12y + 6 
D) 27x - 18y + 9 
A) -27x + 18y - 9 
B) -18x + 12y - 6 
C) 18x - 12y + 6 
D) 27x - 18y + 9

Question 11

Collect like terms.
-$$\frac { 1 } { 6 } y - y + 3 y$$

Accepted Answer

A)  $\frac { 19 } { 6 } \mathrm { y }$ 
B)  $\frac { 13 } { 6 } \mathrm { y }$ 
C)  $- \frac { 13 } { 6 } y$ 
D)  $- \frac { 19 } { 6 } \mathrm { y }$ 
A)  $\frac { 19 } { 6 } \mathrm { y }$ 
B)  $\frac { 13 } { 6 } \mathrm { y }$ 
C)  $- \frac { 13 } { 6 } y$ 
D)  $- \frac { 19 } { 6 } \mathrm { y }$

Question 12

Subtract.
-$$- \frac { 3 } { 8 } - \frac { 2 } { 5 }$$

Accepted Answer

A)  $- \frac { 5 } { 13 }$ 
B)  $- \frac { 31 } { 13 }$ 
C)  $- \frac { 31 } { 40 }$ 
D)  $- \frac { 1 } { 40 }$ 
A)  $- \frac { 5 } { 13 }$ 
B)  $- \frac { 31 } { 13 }$ 
C)  $- \frac { 31 } { 40 }$ 
D)  $- \frac { 1 } { 40 }$

Question 13

Multiply.
-$$\frac { 5 } { 7 } ( a - b + 7 )$$

Accepted Answer

A)  $\frac { 5 } { 7 } a - \frac { 5 } { 7 } b + 7$ 
B)  $\frac { 5 } { 7 } a + \frac { 5 } { 7 } b + 35$ 
C)  $\frac { 5 } { 7 } a - b + 7$ 
D)  $\frac { 5 } { 7 } a - \frac { 5 } { 7 } b + 5$ 
A)  $\frac { 5 } { 7 } a - \frac { 5 } { 7 } b + 7$ 
B)  $\frac { 5 } { 7 } a + \frac { 5 } { 7 } b + 35$ 
C)  $\frac { 5 } { 7 } a - b + 7$ 
D)  $\frac { 5 } { 7 } a - \frac { 5 } { 7 } b + 5$

Question 14

Rewrite the division as a multiplication.
-$\frac { 5 } { - 8 }$

Accepted Answer

A)  $5 \cdot \left( - \frac { 1 } { 8 } \right)$ 
B)  $5 \cdot 8$ 
C)  $- 5 \cdot - 8$ 
D)  $- 5 \cdot \frac { 1 } { 5 }$ 
A)  $5 \cdot \left( - \frac { 1 } { 8 } \right)$ 
B)  $5 \cdot 8$ 
C)  $- 5 \cdot - 8$ 
D)  $- 5 \cdot \frac { 1 } { 5 }$

Question 15

Divide, if possible.
-$\frac { - 36 } { 0 }$

Accepted Answer

A)  0 
B)  1 
C)  36 
D)  Not defined 
A)  0 
B)  1 
C)  36 
D)  Not defined

Question 16

List the terms of the expression.
--7x + 17y

Accepted Answer

A) -7x, -17y 
B) -7, x, 17, y 
C) 7x, 17y 
D) -7x, 17y 
A) -7x, -17y 
B) -7, x, 17, y 
C) 7x, 17y 
D) -7x, 17y

Question 17

Find the reciprocal, if it exists.
-$\frac { 5 } { 3 }$

Accepted Answer

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

Question 18

Multiply.
--5 ·(-16)

Accepted Answer

A) -85 
B) 96 
C) 80 
D) 85 
A) -85 
B) 96 
C) 80 
D) 85

Question 19

Subtract.
--11 - (-17)

Accepted Answer

A) -28 
B) -11 
C) 6 
D) -6 
A) -28 
B) -11 
C) 6 
D) -6

Question 20

Subtract.
--5 - (-5)

Accepted Answer

A) 1 
B) 0 
C) 5 
D) -5 
A) 1 
B) 0 
C) 5 
D) -5

Simplify. - $\frac { 7 \cdot ( 6 + 8 ) + 7 \cdot 2 } { 7 \cdot ( 6 - 1 ) }$

Collect like terms. - $6 x + 0.9 y - 2.4 x + 7 y$

Remove parentheses and simplify. --10(3r + 4)+ 2(10r + 8)

Substitute to find the value of the expression. -A train must cover a distance of 2673 miles. The velocity, in miles per hour, of the train is $\frac { 2673 } { t }$ where $t$ is the time, in hours, to complete the trip. If the train completes the trip in 27 hours, what is its velocity?

Translate the phrase to an algebraic expression. -x subtracted from y

Add. Do not use a number line except as a check. - $- \frac { 1 } { 8 } + \left( - \frac { 5 } { 8 } \right)$

Graph the numbers on a number line. - $- 5.75 , - 3 , - 1,1.25$

Find an equivalent expression with the given denominator. - $\frac { 4 } { 5 } = \frac { ? } { 15 x }$

Substitute to find the value of the expression. -Bill takes four times as long to do a job as Jose. Suppose $t$ represents the time it takes Bill to do the job. Then $t / 4$ represents the time it takes Jose. How long does it take Jose if it takes Bill 63 minutes?

Remove parentheses and simplify. -(9x - 6y + 3)- 2(-9x + 6y - 3)

Collect like terms. - $\frac { 1 } { 6 } y - y + 3 y$

Subtract. - $- \frac { 3 } { 8 } - \frac { 2 } { 5 }$

Multiply. - $\frac { 5 } { 7 } ( a - b + 7 )$

Rewrite the division as a multiplication. - $\frac { 5 } { - 8 }$

Divide, if possible. - $\frac { - 36 } { 0 }$

List the terms of the expression. --7x + 17y

Find the reciprocal, if it exists. - $\frac { 5 } { 3 }$

Multiply. --5 ·(-16)

Subtract. --11 - (-17)

Subtract. --5 - (-5)

Solving Equations and Inequalities

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Polynomials: Operations

Polynomials: Factoring

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Exam 1: Introduction to Real Numbers and Algebraic Expressions

Simplify. - 7⋅(6+8)+7⋅27⋅(6−1)\frac { 7 \cdot ( 6 + 8 ) + 7 \cdot 2 } { 7 \cdot ( 6 - 1 ) }7⋅(6−1)7⋅(6+8)+7⋅2​

Collect like terms. - 6x+0.9y−2.4x+7y6 x + 0.9 y - 2.4 x + 7 y6x+0.9y−2.4x+7y