Question 1

Write an equivalent expression. Use an associative law.
- 6(np) 6 ( \mathrm { np } ) 6(np)

Accepted Answer

A)    (6n) p( 6 n )  p(6n) p 
B)    6(n+p) 6 ( n + p ) 6(n+p)  
C)    6(pn) 6 ( p n ) 6(pn)  
D)    6n+6p6 n + 6 p6n+6pE) All of the above
F) None of the above

Question 2

State the real number that corresponds to the situation.
-The stock market lost 19 points on Monday.

Accepted Answer

A)  -19
B)  19C) A) and B)
D) undefined

Question 3

Translate the phrase to an algebraic expression.
-Two times x

Accepted Answer

A)    2−x2 - x2−x 
B)    2+x2 + x2+x 
C)    2x2 x2x 
D)    2x\frac { 2 } { x }x2​E) B) and C)
F) A) and B)

Question 4

Translate the phrase to an algebraic expression.
-x increased by three

Accepted Answer

A)  3
B)  3x
C)  x + 3
D)  x - 3E) A) and C)
F) All of the above

Question 5

Write an equivalent expression. Use a commutative law.
-wx

Accepted Answer

A)    w÷xw \div xw÷x 
B)    ×w	imes w×w 
C)    w+xw + xw+x 
D)    1WX\frac { 1 } { W X }WX1​E) All of the above
F) B) and C)

Question 6

Find the opposite, or additive inverse.
- 176\frac { 17 } { 6 }617​

Accepted Answer

A)    −176- \frac { 17 } { 6 }−617​ 
B)    −617- \frac { 6 } { 17 }−176​ 
C)    176\frac { 17 } { 6 }617​ 
D)    617\frac { 6 } { 17 }176​E) A) and C)
F) C) and D)

Question 7

Add. Do not use a number line except as a check.
-2.1 + (-6.4)

Accepted Answer

A)  4.3
B)  -8.5
C)  -4.3
D)  8.5E) B) and C)
F) A) and D)

Question 8

Evaluate -x for the given value of x.
-x = 2

Accepted Answer

A)  0
B)  -2
C)  -3
D)  2E) A) and D)
F) None of the above

Question 9

Multiply.
- (38) (−1920) \left( \frac { 3 } { 8 } \right)  \left( - \frac { 19 } { 20 } \right) (83​) (−2019​)

Accepted Answer

A)    3160\frac { 3 } { 160 }1603​ 
B)    −47- \frac { 4 } { 7 }−74​ 
C)    −57160- \frac { 57 } { 160 }−16057​ 
D)    −3815- \frac { 38 } { 15 }−1538​E) A) and B)
F) A) and C)

Question 10

Simplify.
-3.1 - (-16.1) - (-17.0)

Accepted Answer

A)  4.0
B)  -36.2
C)  36.2
D)  -30.0E) All of the above
F) A) and D)

Question 11

Subtract.
--5.4 - 12.0

Accepted Answer

A)  -17.4
B)  6.6
C)  17.4
D)  -6.6E) B) and C)
F) A) and B)

Question 12

Choose the expression that is equivalent to the following:  1(6x3) 1 \left( 6 x ^ { 3 } \right) 1(6x3)

Accepted Answer

A)    6x36 x ^ { 3 }6x3 
B)    7x37 x ^ { 3 }7x3 
C)   1
D)    6x46 x ^ { 4 }6x4E) A) and B)
F) A) and C)

Question 13

Simplify.
- 12yz13z\frac { 12 y z } { 13 z }13z12yz​

Accepted Answer

A)    −y8z- \frac { y } { 8 z }−8zy​ 
B)    −128y- \frac { 12 } { 8 y }−8y12​ 
C)    12y13\frac { 12 y } { 13 }1312y​ 
D)    y8z\frac { y } { 8 z }8zy​E) A) and D)
F) None of the above

Question 14

Solve the problem.
-Annica owes $646.91 on her charge card. She returns for credit items costing $37.22 and $48.94. She makes a purchase for $32.39 and additional purchases of $15.05, $104.25, and $132.39. She then makes a payment of
$546.56. Find the amount she now owes.

Accepted Answer

A)  $823.23
B)  $995.55
C)  $470.59
D)  $298.27E) A) and B)
F) C) and D)

Question 15

Simplify.
--7 + 6 - 20 - (-8)

Accepted Answer

A)  -13
B)  -29
C)  -1
D)  11E) A) and B)
F) B) and C)

Question 16

Evaluate -x for the given value of x.
- x=32.1x = 32.1x=32.1

Accepted Answer

A)    10321\frac { 10 } { 321 }32110​ 
B)   32
C)    32.132.132.1 
D)    −32.1- 32.1−32.1E) A) and B)
F) All of the above

Question 17

Add. Do not use a number line except as a check.
- −17+37- \frac { 1 } { 7 } + \frac { 3 } { 7 }−71​+73​

Accepted Answer

A)    −27- \frac { 2 } { 7 }−72​ 
B)    27\frac { 2 } { 7 }72​ 
C)    47\frac { 4 } { 7 }74​ 
D)    −47- \frac { 4 } { 7 }−74​E) B) and C)
F) B) and D)

Question 18

Divide, if possible.
- 60−30\frac { 60 } { - 30 }−3060​

Accepted Answer

A)    −12- 12−12 
B)   2
C)    −2- 2−2 
D)    −12- \frac { 1 } { 2 }−21​E) B) and C)
F) All of the above

Question 19

Factor. Check by multiplying.
-21x + 15

Accepted Answer

A)  21(x + 5) 
B)  21(x + 15) 
C)  3(7x + 5) 
D)  3(7x + 15) E) B) and C)
F) B) and D)

Question 20

Determine whether the statement is true or false.
-5 < 3

Accepted Answer

A) True 
 B)False

Exam 1: Introduction to Real Numbers and Algebraic Expressions

Simplify. -3.1 - (-16.1) - (-17.0)

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Find the opposite, or additive inverse. - 176\frac { 17 } { 6 }617​

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Factor. Check by multiplying. -21x + 15

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Simplify. - 12yz13z\frac { 12 y z } { 13 z }13z12yz​

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Write an equivalent expression. Use a commutative law. -wx

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Translate the phrase to an algebraic expression. -Two times x

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Add. Do not use a number line except as a check. -2.1 + (-6.4)

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Translate the phrase to an algebraic expression. -x increased by three

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Simplify. --7 + 6 - 20 - (-8)

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Evaluate -x for the given value of x. -x = 2

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Multiply. - (38) (−1920) \left( \frac { 3 } { 8 } \right) \left( - \frac { 19 } { 20 } \right) (83​) (−2019​)

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Solve the problem. -Annica owes $646.91 on her charge card. She returns for credit items costing $37.22 and $48.94. She makes a purchase for $32.39 and additional purchases of $15.05, $104.25, and $132.39. She then makes a payment of $546.56. Find the amount she now owes.

Correct AnswerverifiedShow Answer

Write an equivalent expression. Use an associative law. - 6(np) 6 ( \mathrm { np } ) 6(np)

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State the real number that corresponds to the situation. -The stock market lost 19 points on Monday.

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Divide, if possible. - 60−30\frac { 60 } { - 30 }−3060​

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Add. Do not use a number line except as a check. - −17+37- \frac { 1 } { 7 } + \frac { 3 } { 7 }−71​+73​

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Evaluate -x for the given value of x. - x=32.1x = 32.1x=32.1

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Choose the expression that is equivalent to the following: 1(6x3) 1 \left( 6 x ^ { 3 } \right) 1(6x3)

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Determine whether the statement is true or false. -5 < 3

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Subtract. --5.4 - 12.0

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Find the opposite, or additive inverse. - $\frac { 17 } { 6 }$

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Simplify. - $\frac { 12 y z } { 13 z }$

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Multiply. - $\left( \frac { 3 } { 8 } \right) \left( - \frac { 19 } { 20 } \right)$

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Write an equivalent expression. Use an associative law. - $6 ( \mathrm { np } )$

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Divide, if possible. - $\frac { 60 } { - 30 }$

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Add. Do not use a number line except as a check. - $- \frac { 1 } { 7 } + \frac { 3 } { 7 }$

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Evaluate -x for the given value of x. - $x = 32.1$

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Choose the expression that is equivalent to the following: $1 \left( 6 x ^ { 3 } \right)$

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