Question 1

Solve the equation.
- 8x−6−9x−1=38 x - 6 - 9 x - 1 = 38x−6−9x−1=3

Accepted Answer

A)   10
B)   2
C)    1017\frac { 10 } { 17 }1710​ 
D)    −10- 10−10

Question 2

Solve the equation.
- 7m−3−3(m+1) =−(7m−4) 7 m - 3 - 3 ( m + 1 )  = - ( 7 m - 4 ) 7m−3−3(m+1) =−(7m−4)

Accepted Answer

A)    211\frac { 2 } { 11 }112​ 
B)    107\frac { 10 } { 7 }710​ 
C)    1011\frac { 10 } { 11 }1110​ 
D)    27\frac { 2 } { 7 }72​

Question 3

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.
-The sum of four times a number,  −1- 1−1 , six times a number, and 3

Accepted Answer

A)    10x+210 x + 210x+2 
B)    10x+1410 x + 1410x+14 
C)    4x+84 x + 84x+8 
D)    10x+410 x + 410x+4

Question 4

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
-Jeans are on sale at the local department store for 25% off. If the jeans originally cost $59, find the sale price.

Accepted Answer

A)   $73.75
B)   $44.25
C)   $57.53
D)   $14.75

Question 5

Solve.
-The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 418, find the house numbers.

Accepted Answer

A)   208, 210
B)   208, 416
C)   209, 211
D)   207, 209

Question 6

Solve the equation.
- 12y=6\frac { 1 } { 2 } y = 621​y=6

Accepted Answer

A)   12
B)   3
C)   8
D)   7

Question 7

Solve the formula for the specified variable.
- P=2L+2W for LP = 2 L + 2 W \quad 	ext { for } LP=2L+2W for L

Accepted Answer

A)    L=P−W2\mathrm { L } = \frac { \mathrm { P } - \mathrm { W } } { 2 }L=2P−W​ 
B)    L=P−WL = P - WL=P−W 
C)    L=P−2W2L = \frac { P - 2 W } { 2 }L=2P−2W​ 
D)    L=P−2WL = P - 2 WL=P−2W

Question 8

Solve the equation.
--8z + 7 + 6z = -3z + 12

Accepted Answer

A)   -7
B)   12
C)   -12
D)   5

Question 9

Write the phrase as a variable expression. Use x for the unknown number.
-Three times a number

Accepted Answer

A)    3x3 x3x 
B)    x−3x - 3x−3 
C)    3−x3 - x3−x 
D)    3x\frac { 3 } { x }x3​

Question 10

Solve the equation.
-4(2z - 4)  = 7(z + 3)

Accepted Answer

A)   -5
B)   37
C)   9
D)   5

Question 11

Write the algebraic expression described. Simplify if possible.
-If x represents the first of four consecutive even integers, express the sum of the first integer and the fourth integer in terms of x.

Accepted Answer

A)   4x + 12
B)   2x + 4
C)   2x + 6
D)   4x + 6

Question 12

Solve.
-Kevin invested part of his $10,000 bonus in a certificate of deposit that paid 6% annual simple interest, and the remainder in a mutual fund that paid 11% annual simple interest. If his total Interest for that year was $900, how much did Kevin invest in the mutual fund?

Accepted Answer

A)   $7000
B)   $4000
C)   $6000
D)   $5000

Question 13

Simplify the expression. First use the distributive property to remove any parentheses.
-6(4x + 7 + y)

Accepted Answer

A)   24x + 42 + 6y
B)   24x + 7 + 6y
C)   24x + 42 + y
D)   24x + 7 + y

Question 14

Solve the equation.
- 25x−13x=3\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 352​x−31​x=3

Accepted Answer

A)    −90- 90−90 
B)   45
C)    −45- 45−45 
D)   90

Question 15

Solve.
-A certain store has a fax machine available for use by its customers. The store charges $2.45 to send the first page and $0.65 for each subsequent page. Use an inequality to find the maximum number
Of pages that can be faxed for $10.25

Accepted Answer

A)   at most 16 pages
B)   at most 13 pages
C)   at most 61 pages
D)   at most 4 pages

Question 16

Simplify the expression. First use the distributive property to remove any parentheses.
--6(4y - 5)

Accepted Answer

A)   -2y + 1
B)   -24y - 30
C)   -24y - 5
D)   -24y + 30

Question 17

Solve.
-How much would an initial bank deposit need to be in order to earn $2300 at 10% for 8 years? (Round to the nearest dollar.)

Accepted Answer

A)   $29
B)   $184,000
C)   $1840
D)   $2875

Question 18

Solve the equation.
- 13x+2=16x+43\frac { 1 } { 3 } x + 2 = \frac { 1 } { 6 } x + \frac { 4 } { 3 }31​x+2=61​x+34​

Accepted Answer

A)   4
B)    −12- 12−12 
C)   3
D)    −4- 4−4

Question 19

Graph the inequality on a number line. Then write the solution in interval notation.
- −1≤x<3- 1 \leq x < 3−1≤x<3

Accepted Answer

A)    (−1,3](-1,3](−1,3] 
B)    (−1,3) ( - 1,3 ) (−1,3)  
C)     [−1,3][ - 1,3 ][−1,3] 
D)    [−1,3) [ - 1,3 ) [−1,3)

Question 20

Solve the equation.
- n3=10\frac { \mathrm { n } } { 3 } = 103n​=10

Accepted Answer

A)   3
B)   12
C)   13
D)   30

Exam 2: Equations, Inequalities, and Problem Solving

Solve the equation. - 12y=6\frac { 1 } { 2 } y = 621​y=6

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Solve. -Kevin invested part of his $10,000 bonus in a certificate of deposit that paid 6% annual simple interest, and the remainder in a mutual fund that paid 11% annual simple interest. If his total Interest for that year was $900, how much did Kevin invest in the mutual fund?

Correct AnswerverifiedShow Answer

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number. -The sum of four times a number, −1- 1−1 , six times a number, and 3

Correct AnswerverifiedShow Answer

Solve the equation. - 7m−3−3(m+1) =−(7m−4) 7 m - 3 - 3 ( m + 1 ) = - ( 7 m - 4 ) 7m−3−3(m+1) =−(7m−4)

Correct AnswerverifiedShow Answer

Solve. -A certain store has a fax machine available for use by its customers. The store charges $2.45 to send the first page and $0.65 for each subsequent page. Use an inequality to find the maximum number Of pages that can be faxed for $10.25

Correct AnswerverifiedShow Answer

Solve the equation. - 25x−13x=3\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 352​x−31​x=3

Correct AnswerverifiedShow Answer

Solve. -How much would an initial bank deposit need to be in order to earn $2300 at 10% for 8 years? (Round to the nearest dollar.)

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Simplify the expression. First use the distributive property to remove any parentheses. --6(4y - 5)

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Solve the equation. - 13x+2=16x+43\frac { 1 } { 3 } x + 2 = \frac { 1 } { 6 } x + \frac { 4 } { 3 }31​x+2=61​x+34​

Correct AnswerverifiedShow Answer

Write the algebraic expression described. Simplify if possible. -If x represents the first of four consecutive even integers, express the sum of the first integer and the fourth integer in terms of x.

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Solve the equation. --8z + 7 + 6z = -3z + 12

Correct AnswerverifiedShow Answer

Graph the inequality on a number line. Then write the solution in interval notation. - −1≤x<3- 1 \leq x < 3−1≤x<3

Correct AnswerverifiedShow Answer

Solve the formula for the specified variable. - P=2L+2W for LP = 2 L + 2 W \quad \text { for } LP=2L+2W for L

Correct AnswerverifiedShow Answer

Solve the equation. - 8x−6−9x−1=38 x - 6 - 9 x - 1 = 38x−6−9x−1=3

Correct AnswerverifiedShow Answer

Solve the equation. -4(2z - 4) = 7(z + 3)

Correct AnswerverifiedShow Answer

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -Jeans are on sale at the local department store for 25% off. If the jeans originally cost $59, find the sale price.

Correct AnswerverifiedShow Answer

Solve. -The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 418, find the house numbers.

Correct AnswerverifiedShow Answer

Write the phrase as a variable expression. Use x for the unknown number. -Three times a number

Correct AnswerverifiedShow Answer

Solve the equation. - n3=10\frac { \mathrm { n } } { 3 } = 103n​=10

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Simplify the expression. First use the distributive property to remove any parentheses. -6(4x + 7 + y)

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Solve the equation. - $\frac { 1 } { 2 } y = 6$

Correct Answer
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Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number. -The sum of four times a number, $- 1$ , six times a number, and 3

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Solve the equation. - $7 m - 3 - 3 ( m + 1 ) = - ( 7 m - 4 )$

Correct Answer
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Correct Answer
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Solve the equation. - $\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 3$

Correct Answer
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Solve the equation. - $\frac { 1 } { 3 } x + 2 = \frac { 1 } { 6 } x + \frac { 4 } { 3 }$

Correct Answer
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Graph the inequality on a number line. Then write the solution in interval notation. - $- 1 \leq x < 3$ $Graph the inequality on a number line. Then write the solution in interval notation. - - 1 \leq x < 3 A) (-1,3] B) ( - 1,3 ) C) [ - 1,3 ] D) [ - 1,3 )$

Correct Answer
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Solve the formula for the specified variable. - $P = 2 L + 2 W \quad \text { for } L$

Correct Answer
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Solve the equation. - $8 x - 6 - 9 x - 1 = 3$

Correct Answer
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Solve the equation. - $\frac { \mathrm { n } } { 3 } = 10$

Correct Answer
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Correct Answer
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