Question 1

Translate the phrase to an algebraic expression.
-Four multiplied by x

Accepted Answer

A)    4x4 x4x 
B)    4−x4 - x4−x 
C)    4+x4 + x4+x 
D)    4x\frac { 4 } { x }x4​E) None of the above
F) A) and B)

Question 2

Convert to decimal notation.
- 174\frac { 17 } { 4 }417​

Accepted Answer

A)    −4.25- 4.25−4.25 
B)    4.254.254.25 
C)    8.58.58.5 
D)    12.7512.7512.75E) A) and B)
F) All of the above

Question 3

ext { to write a true statement. }"> Insert < or > to write a true statement. ext { Insert } < ext { or } > ext { to write a true statement. } Insert < or > to write a true statement. - 5.55.55.5 _ 1.41.41.4

Accepted Answer

A) 1.4">5.5>1.45.5 > 1.45.5>1.4 B) 5.5<1.45.5 < 1.45.5<1.4C) A) and B) D) undefined

Question 4

Solve the problem.
-In four rounds of a card game, you get scores of  2,−9,−62 , - 9 , - 62,−9,−6 , and  −9- 9−9 . What is your final score?

Accepted Answer

A)    −26- 26−26 
B)    −22- 22−22 
C)   26
D)   22 E) B) and C)
F) A) and D)

Question 5

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

Accepted Answer

A)    7x\frac { 7 } { x }x7​ 
B)    7+x7 + x7+x 
C)    7x7 x7x 
D)    7−x7 - x7−xE) B) and C)
F) A) and D)

Question 6

Determine whether the statement is true or false.
-$- 20 \leq - 19$

Accepted Answer

A) True 
 B)False

Question 7

Find the absolute value.
- ∣−5.8∣| - 5.8 |∣−5.8∣

Accepted Answer

A)  5.8
B)  -5.8
C)  0
D)  11.6 E) A) and D)
F) A) and C)

Question 8

Add. Do not use a number line except as a check.
- −514+1621- \frac { 5 } { 14 } + \frac { 16 } { 21 }−145​+2116​

Accepted Answer

A)    1742\frac { 17 } { 42 }4217​ 
B)    1121\frac { 11 } { 21 }2111​ 
C)    1921\frac { 19 } { 21 }2119​ 
D)    1721\frac { 17 } { 21 }2117​E) B) and D)
F) A) and B)

Question 9

Add. Do not use a number line except as a check.
- −5.6+(−1.3) +10.5- 5.6 + ( - 1.3 )  + 10.5−5.6+(−1.3) +10.5

Accepted Answer

A)    6.26.26.2 
B)    −3.6- 3.6−3.6 
C)    −17.4- 17.4−17.4 
D)    3.63.63.6E) All of the above
F) A) and B)

Question 10

Evaluate -(-x) for the given value of x.
- x=1.68x = 1.68x=1.68

Accepted Answer

A)    1.681.681.68 
B)    16810\frac { 168 } { 10 }10168​ 
C)    −1.68- 1.68−1.68 
D)   168 E) A) and D)
F) B) and C)

Question 11

Subtract.
- −45−(−77) - 45 - ( - 77 ) −45−(−77)

Accepted Answer

A)   32
B)    −122- 122−122 
C)   122
D)    −32- 32−32E) All of the above
F) C) and D)

Question 12

Evaluate.
- x+yx + yx+y , when  x=6x = 6x=6  and  y=2y = 2y=2

Accepted Answer

A)    −8- 8−8 
B)   8
C)   12
D)   4 E) C) and D)
F) A) and B)

Question 13

Translate to an algebraic expression.
-Leanne had $33 remaining after paying y dollars for a dinner and a movie. How much did she have at the start of the evening?

Accepted Answer

A)    $33−y\$ 33 - y$33−y 
B)    $33y\$ 33 y$33y 
C)    y−$33y - \$ 33y−$33 
D)    $33+y\$ 33 + y$33+yE) B) and C)
F) None of the above

Question 14

Add. Do not use a number line except as a check.
- −8.8+(−7.1) - 8.8 + ( - 7.1 ) −8.8+(−7.1)

Accepted Answer

A)    −15.9- 15.9−15.9 
B)    1.71.71.7 
C)    15.915.915.9 
D)    −1.7- 1.7−1.7E) A) and B)
F) None of the above

Question 15

Convert to decimal notation.
- 415\frac { 4 } { 15 }154​

Accepted Answer

A)    0.26‾0.2 \overline { 6 }0.26 
B)    0.2‾0 . \overline { 2 }0.2 
C)    3.75‾3.7 \overline { 5 }3.75 
D)    0.30.30.3E) B) and C)
F) A) and B)

Question 16

Subtract.
- −4−(−4) - 4 - ( - 4 ) −4−(−4)

Accepted Answer

A)   4
B)   - 4
C)   1
D)   0 E) A) and D)
F) C) and D)

Question 17

State the real number that corresponds to the situation.
-This year corn production decreased 55,000 pounds from last year on Steve's farm.

Accepted Answer

A)   55,000
B)    −55,000- 55,000−55,000C) A) and B)
D) undefined

Question 18

Subtract.
- −2.7−0- 2.7 - 0−2.7−0

Accepted Answer

A)   0
B)    2.72.72.7 
C)    −2.7- 2.7−2.7 
D)   undefined E) None of the above
F) B) and C)

Question 19

Add. Do not use a number line except as a check.
- 69+(−12) 69 + ( - 12 ) 69+(−12)

Accepted Answer

A)    −81- 81−81 
B)   81
C)   57
D)    −57- 57−57E) All of the above
F) B) and C)

Question 20

Convert to decimal notation.
- 1399\frac { 13 } { 99 }9913​

Accepted Answer

A)    0.130.130.13 
B)    0.131‾0 . \overline { 131 }0.131 
C)    0.13‾0 . \overline { 13 }0.13 
D)    0.13‾0.1 \overline { 3 }0.13E) None of the above
F) C) and D)

Exam 1: Introduction to Real Numbers and Algebraic Expressions

Translate to an algebraic expression. -Leanne had $33 remaining after paying y dollars for a dinner and a movie. How much did she have at the start of the evening?

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Translate the phrase to an algebraic expression. -Four multiplied by x

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Add. Do not use a number line except as a check. - −514+1621- \frac { 5 } { 14 } + \frac { 16 } { 21 }−145​+2116​

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Subtract. - −2.7−0- 2.7 - 0−2.7−0

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Solve the problem. -In four rounds of a card game, you get scores of 2,−9,−62 , - 9 , - 62,−9,−6 , and −9- 9−9 . What is your final score?

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Find the absolute value. - ∣−5.8∣| - 5.8 |∣−5.8∣

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Insert < or > to write a true statement. \text { Insert } < \text { or } > \text { to write a true statement. } Insert < or > to write a true statement. - 5.55.55.5 _ 1.41.41.4

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

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Convert to decimal notation. - 415\frac { 4 } { 15 }154​

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Evaluate -(-x) for the given value of x. - x=1.68x = 1.68x=1.68

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Determine whether the statement is true or false. - −20≤−19- 20 \leq - 19−20≤−19

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Add. Do not use a number line except as a check. - −5.6+(−1.3) +10.5- 5.6 + ( - 1.3 ) + 10.5−5.6+(−1.3) +10.5

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Add. Do not use a number line except as a check. - 69+(−12) 69 + ( - 12 ) 69+(−12)

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Convert to decimal notation. - 1399\frac { 13 } { 99 }9913​

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Subtract. - −45−(−77) - 45 - ( - 77 ) −45−(−77)

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State the real number that corresponds to the situation. -This year corn production decreased 55,000 pounds from last year on Steve's farm.

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Evaluate. - x+yx + yx+y , when x=6x = 6x=6 and y=2y = 2y=2

Correct AnswerverifiedShow Answer

Convert to decimal notation. - 174\frac { 17 } { 4 }417​

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Add. Do not use a number line except as a check. - −8.8+(−7.1) - 8.8 + ( - 7.1 ) −8.8+(−7.1)

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Subtract. - −4−(−4) - 4 - ( - 4 ) −4−(−4)

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Add. Do not use a number line except as a check. - $- \frac { 5 } { 14 } + \frac { 16 } { 21 }$

Correct Answer
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Subtract. - $- 2.7 - 0$

Correct Answer
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Solve the problem. -In four rounds of a card game, you get scores of $2 , - 9 , - 6$ , and $- 9$ . What is your final score?

Correct Answer
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Find the absolute value. - $| - 5.8 |$

Correct Answer
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$\text { Insert } < \text { or } > \text { to write a true statement. }$ - $5.5$ _ $1.4$

Correct Answer
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Convert to decimal notation. - $\frac { 4 } { 15 }$

Correct Answer
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Evaluate -(-x) for the given value of x. - $x = 1.68$

Correct Answer
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Determine whether the statement is true or false. - $- 20 \leq - 19$

Correct Answer
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Add. Do not use a number line except as a check. - $- 5.6 + ( - 1.3 ) + 10.5$

Correct Answer
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Add. Do not use a number line except as a check. - $69 + ( - 12 )$

Correct Answer
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Convert to decimal notation. - $\frac { 13 } { 99 }$

Correct Answer
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Subtract. - $- 45 - ( - 77 )$

Correct Answer
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Evaluate. - $x + y$ , when $x = 6$ and $y = 2$

Correct Answer
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Convert to decimal notation. - $\frac { 17 } { 4 }$

Correct Answer
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Add. Do not use a number line except as a check. - $- 8.8 + ( - 7.1 )$

Correct Answer
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Subtract. - $- 4 - ( - 4 )$

Correct Answer
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