Question 1

Divide, if possible.
- 60−2\frac{60}{-2}−260​

Accepted Answer

A)   -30
B)   -40
C)   30
D)    −130-\frac{1}{30}−301​

Question 2

Find an equivalent expression with the given denominator.
- 142\frac{14}{2}214​  (Denominator: 5)

Accepted Answer

A)    568\frac{56}{8}856​ 
B)    284\frac{28}{4}428​ 
C)    355\frac{35}{5}535​ 
D)    144\frac{14}{4}414​

Question 3

Multiply.
- −11⋅5-11 \cdot 5−11⋅5

Accepted Answer

A)   -44
B)   44
C)   -55
D)   -60

Question 4

Subtract.
- −0.53−8-0.53-8−0.53−8

Accepted Answer

A)   -7.47
B)   8.53
C)   -8.53
D)   7.47

Question 5

Solve the problem.
-If a roll of wallpaper costs  $31\$ 31$31 , how much will 8 rolls cost?

Accepted Answer

A)    $248\$ 248$248 
B)    $39\$ 39$39 
C)    $44\$ 44$44 
D)    $253\$ 253$253

Question 6

Find the absolute value.
- ∣−7.644∣|-7.644|∣−7.644∣

Accepted Answer

A)   -7.644
B)   0
C)   -15.288
D)   7.644

Question 7

Determine whether the statement is true or false.
-$-15>-9$

Accepted Answer

A) True 
 B)False

Question 8

Substitute to find the value of the expression.
-In one store, bananas cost 60 cents per pound. The cost, in dollars, of  xxx  pounds of bananas is  0.6x0.6 x0.6x . What is the cost of 1.7 pounds of bananas?

Accepted Answer

A)    $2.83\$ 2.83$2.83 
B)    $1.02\$ 1.02$1.02 
C)    $1.22\$ 1.22$1.22 
D)    $0.28\$ 0.28$0.28 B

Question 9

Perform the indicated operation and, if possible, simplify.
- 49⋅13\frac{4}{9} \cdot \frac{1}{3}94​⋅31​

Accepted Answer

A)    34\frac{3}{4}43​ 
B)    527\frac{5}{27}275​ 
C)    427\frac{4}{27}274​ 
D)    512\frac{5}{12}125​

Question 10

Write an equivalent expression. Use an associative law.
-(8s) t

Accepted Answer

A)    8s+8t8 s+8 t8s+8t 
B)   (s8) t
C)    t(8s) t(8 s) t(8s)  
D)   8(st)

Question 11

Divide, if possible.
- −35÷(−5) -35 \div(-5) −35÷(−5)

Accepted Answer

A)   8
B)   -8
C)   7
D)   -7

Question 12

Determine whether the statement is true or false.
-$3 \leq 2$

Accepted Answer

A) True 
 B)False  False

Question 13

Subtract.
- 136−136\frac{13}{6}-\frac{13}{6}613​−613​

Accepted Answer

A)   0
B)   undefined
C)    −396-\frac{39}{6}−639​ 
D)    396\frac{39}{6}639​

Question 14

Add.
- 0.433+570.433+570.433+57

Accepted Answer

A)   57.434
B)   57.543
C)   57.423
D)   57.433

Question 15

Round to the requested decimal place.
- $508.06\$ 508.06$508.06  (round to the nearest dollar)

Accepted Answer

A)    $508\$ 508$508 
B)    $509\$ 509$509 
C)    $508.10\$ 508.10$508.10 
D)    $508.06\$ 508.06$508.06

Question 16

Convert to decimal notation.
- 215\frac{2}{15}152​

Accepted Answer

A)    0.1‾0 . \overline{1}0.1 
B)   0.1
C)    7.50‾7 . {5} \overline{0}7.50 
D)    0.13‾0 . {1} \overline{3}0.13

Question 17

Add. Do not use a number line except as a check.
- −1.5+6.5-1.5+6.5−1.5+6.5

Accepted Answer

A)   8
B)   5
C)   -5
D)   -8  B

Question 18

Rewrite the division as a multiplication.
- −610-\frac{6}{10}−106​

Accepted Answer

A)    −10⋅(16) -10 \cdot\left(\frac{1}{6}\right) −10⋅(61​)   or  10⋅(−16) 10 \cdot\left(-\frac{1}{6}\right) 10⋅(−61​)  
B)    −6⋅10-6 \cdot 10−6⋅10  or  6⋅−106 \cdot-106⋅−10 
C)    −6⋅(110) -6 \cdot\left(\frac{1}{10}\right) −6⋅(101​)   or  6⋅(−110) 6 \cdot\left(-\frac{1}{10}\right) 6⋅(−101​)  
D)    −6⋅−10-6 \cdot-10−6⋅−10  or  6⋅106 \cdot 106⋅10

Question 19

Multiply.
- (−49) ⋅(−15) ⋅(−14) \left(-\frac{4}{9}\right)  \cdot\left(-\frac{1}{5}\right)  \cdot\left(-\frac{1}{4}\right) (−94​) ⋅(−51​) ⋅(−41​)

Accepted Answer

A)    145\frac{1}{45}451​ 
B)    −25-\frac{2}{5}−52​ 
C)    445\frac{4}{45}454​ 
D)    −145-\frac{1}{45}−451​

Question 20

Find the reciprocal, if it exists.
- 19x\frac{1}{9 \mathrm{x}}9x1​

Accepted Answer

A)    x9\frac{x}{9}9x​ 
B)    9x\frac{9}{x}x9​ 
C)   No reciprocal
D)    9x9 x9x

Exam 1: Introduction to Real Numbers and Algebraic Expressions

Divide, if possible. - 60−2\frac{60}{-2}−260​

Correct AnswerverifiedShow Answer

Find an equivalent expression with the given denominator. - 142\frac{14}{2}214​ (Denominator: 5)

Correct AnswerverifiedShow Answer

Multiply. - −11⋅5-11 \cdot 5−11⋅5

Correct AnswerverifiedShow Answer

Subtract. - −0.53−8-0.53-8−0.53−8

Correct AnswerverifiedShow Answer

Solve the problem. -If a roll of wallpaper costs $31\$ 31$31 , how much will 8 rolls cost?

Correct AnswerverifiedShow Answer

Find the absolute value. - ∣−7.644∣|-7.644|∣−7.644∣

Correct AnswerverifiedShow Answer

Determine whether the statement is true or false. - −15>−9-15>-9−15>−9

Correct AnswerverifiedShow Answer

Substitute to find the value of the expression. -In one store, bananas cost 60 cents per pound. The cost, in dollars, of xxx pounds of bananas is 0.6x0.6 x0.6x . What is the cost of 1.7 pounds of bananas?

Correct AnswerverifiedB

Perform the indicated operation and, if possible, simplify. - 49⋅13\frac{4}{9} \cdot \frac{1}{3}94​⋅31​

Correct AnswerverifiedShow Answer

Write an equivalent expression. Use an associative law. -(8s) t

Correct AnswerverifiedShow Answer

Divide, if possible. - −35÷(−5) -35 \div(-5) −35÷(−5)

Correct AnswerverifiedShow Answer

Determine whether the statement is true or false. - 3≤23 \leq 23≤2

Correct AnswerverifiedFalse

Subtract. - 136−136\frac{13}{6}-\frac{13}{6}613​−613​

Correct AnswerverifiedShow Answer

Add. - 0.433+570.433+570.433+57

Correct AnswerverifiedShow Answer

Round to the requested decimal place. - $508.06\$ 508.06$508.06 (round to the nearest dollar)

Correct AnswerverifiedShow Answer

Convert to decimal notation. - 215\frac{2}{15}152​

Correct AnswerverifiedShow Answer

Add. Do not use a number line except as a check. - −1.5+6.5-1.5+6.5−1.5+6.5

Correct AnswerverifiedB

Rewrite the division as a multiplication. - −610-\frac{6}{10}−106​

Correct AnswerverifiedShow Answer

Multiply. - (−49) ⋅(−15) ⋅(−14) \left(-\frac{4}{9}\right) \cdot\left(-\frac{1}{5}\right) \cdot\left(-\frac{1}{4}\right) (−94​) ⋅(−51​) ⋅(−41​)

Correct AnswerverifiedShow Answer

Find the reciprocal, if it exists. - 19x\frac{1}{9 \mathrm{x}}9x1​

Correct AnswerverifiedShow Answer

Divide, if possible. - $\frac{60}{-2}$

Correct Answer
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Find an equivalent expression with the given denominator. - $\frac{14}{2}$ (Denominator: 5)

Correct Answer
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Multiply. - $-11 \cdot 5$

Correct Answer
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Subtract. - $-0.53-8$

Correct Answer
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Solve the problem. -If a roll of wallpaper costs $\$ 31$ , how much will 8 rolls cost?

Correct Answer
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Find the absolute value. - $|-7.644|$

Correct Answer
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Determine whether the statement is true or false. - $-15>-9$

Correct Answer
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Substitute to find the value of the expression. -In one store, bananas cost 60 cents per pound. The cost, in dollars, of $x$ pounds of bananas is $0.6 x$ . What is the cost of 1.7 pounds of bananas?

Correct Answer
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B

Perform the indicated operation and, if possible, simplify. - $\frac{4}{9} \cdot \frac{1}{3}$

Correct Answer
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Correct Answer
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Divide, if possible. - $-35 \div(-5)$

Correct Answer
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Determine whether the statement is true or false. - $3 \leq 2$

Correct Answer
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False

Subtract. - $\frac{13}{6}-\frac{13}{6}$

Correct Answer
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Add. - $0.433+57$

Correct Answer
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Round to the requested decimal place. - $\$ 508.06$ (round to the nearest dollar)

Correct Answer
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Convert to decimal notation. - $\frac{2}{15}$

Correct Answer
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Add. Do not use a number line except as a check. - $-1.5+6.5$

Correct Answer
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B

Rewrite the division as a multiplication. - $-\frac{6}{10}$

Correct Answer
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Multiply. - $\left(-\frac{4}{9}\right) \cdot\left(-\frac{1}{5}\right) \cdot\left(-\frac{1}{4}\right)$

Correct Answer
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Find the reciprocal, if it exists. - $\frac{1}{9 \mathrm{x}}$

Correct Answer
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