Deck 1: Review of the Real Number System

Question 1

Write the fraction in lowest terms.

- $\frac{6}{8}$

A) $\frac{6}{8}$

B) $\frac{4}{3}$

C) $\frac{7}{5}$

D) $\frac{3}{4}$

Answer 1

$\frac{3}{4}$

Question 2

Write the fraction in lowest terms.

- $\frac{3}{15}$

A) $\frac{1}{4}$

B) 5

C) 7

D) $\frac{1}{5}$

Answer 2

$\frac{1}{5}$

Question 3

Write the fraction in lowest terms.

- $\frac{38}{46}$

A) $\frac{19}{23}$

B) $\frac{23}{19}$

C) $\frac{45}{37}$

D) $\frac{38}{46}$

Answer 3

$\frac{19}{23}$

Question 4

Write the fraction in lowest terms.

- $\frac{123}{159}$

A) $\frac{31}{40}$

B) $\frac{41}{53}$

C) $\frac{53}{41}$

D) $\frac{79}{61}$

Question 5

Write the fraction in lowest terms.

- $\frac{156}{225}$

A) $\frac{157}{226}$

B) $\frac{75}{52}$

C) $\frac{52}{75}$

D) $\frac{224}{155}$

Question 6

Write the fraction in lowest terms.

- $\frac{21}{700}$

A) $\frac{3}{100}$

B) $\frac{22}{701}$

C) $\frac{699}{20}$

D) $\frac{100}{3}$

Question 7

Write the fraction in lowest terms.

- $\frac{130}{260}$

A) 2

B) $\frac{259}{129}$

C) $\frac{1}{2}$

D) $\frac{131}{261}$

Question 8

Write the fraction in lowest terms.

- $\frac{88}{33}$

A) $\frac{3}{8}$

B) $\frac{11}{3}$

C) $\frac{88}{33}$

D) $\frac{8}{3}$

Question 9

Write the improper fraction as a mixed number.

- $\frac{19}{3}$

A) $7 \frac{1}{3}$

B) $5 \frac{1}{7}$

C) $6 \frac{1}{3}$

D) $\frac{1}{3}$

Question 10

Write the improper fraction as a mixed number.

- $\frac{12}{5}$

A) $2 \frac{2}{5}$

B) $2 \frac{2}{7}$

C) $1 \frac{2}{5}$

D) $3 \frac{2}{5}$

Question 11

Write the improper fraction as a mixed number.

- $\frac{29}{6}$

A) $4 \frac{5}{7}$

B) $5 \frac{5}{6}$

C) $4 \frac{5}{6}$

D) $3 \frac{5}{6}$

Question 12

Write the improper fraction as a mixed number.

- $\frac{50}{9}$

A) $50 \frac{50}{9}$

B) $50 \frac{9}{50}$

C) $\frac{9}{50}$

D) $5 \frac{5}{9}$

Question 13

Write the improper fraction as a mixed number.

- $\frac{113}{5}$

A) $\frac{5}{113}$

B) $113 \frac{5}{113}$

C) $113 \frac{113}{5}$

D) $22 \frac{3}{5}$

Question 14

Write the improper fraction as a mixed number.

- $\frac{27}{11}$

A) $2 \frac{4}{11}$

B) $5 \frac{1}{11}$

C) $5 \frac{2}{11}$

D) $2 \frac{5}{11}$

Question 15

Write the improper fraction as a mixed number.

- $\frac{41}{12}$

A) $5 \frac{1}{12}$

B) $3 \frac{5}{12}$

C) $12 \frac{1}{12}$

D) $5 \frac{5}{12}$

Question 16

Write the mixed number as an improper fraction.

- $4 \frac{5}{6}$

A) $\frac{29}{5}$

B) $\frac{24}{5}$

C) $\frac{29}{6}$

D) $\frac{24}{6}$

Question 17

Write the mixed number as an improper fraction.

- $6 \frac{5}{7}$

A) $\frac{42}{5}$

B) $\frac{47}{5}$

C) $\frac{47}{7}$

D) $\frac{42}{7}$

Question 18

Write the mixed number as an improper fraction.

- $7 \frac{5}{7}$

A) $\frac{49}{7}$

B) $\frac{54}{7}$

C) $\frac{54}{5}$

D) $\frac{49}{5}$

Question 19

Write the mixed number as an improper fraction.

- $5 \frac{6}{7}$

A) $\frac{35}{7}$

B) $\frac{41}{7}$

C) $\frac{41}{6}$

D) $\frac{35}{6}$

Question 20

Write the mixed number as an improper fraction.

- $12 \frac{9}{10}$

A) $\frac{21}{10}$

B) $\frac{129}{10}$

C) $\frac{139}{10}$

D) $\frac{108}{10}$

Question 21

Multiply as indicated. Write the answer as a fraction in lowest terms.

- $\frac{5}{7} \cdot \frac{1}{2}$

A) $\frac{3}{7}$

B) $\frac{5}{14}$

C) $\frac{7}{10}$

D) $\frac{2}{3}$

Question 22

Multiply as indicated. Write the answer as a fraction in lowest terms.

- $\frac{1}{2} \cdot \frac{2}{3}$

A) $\frac{4}{3}$

B) $\frac{3}{5}$

C) $\frac{1}{18}$

D) $\frac{1}{3}$

Question 23

Multiply as indicated. Write the answer as a fraction in lowest terms.

- $\frac{5}{7} \cdot \frac{20}{21}$

A) $\frac{5}{147}$

B) $\frac{100}{147}$

C) $\frac{25}{28}$

D) $\frac{4}{3}$

Question 24

Multiply as indicated. Write the answer as a fraction in lowest terms.

- $\frac{23}{25} \cdot \frac{25}{27}$

A) $\frac{625}{621}$

B) $\frac{23}{675}$

C) $\frac{23}{27}$

D) $\frac{12}{13}$

Question 25

Multiply as indicated. Write the answer as a fraction in lowest terms.

- $\frac{11}{12} \cdot \frac{11}{12}$

A) $\frac{11}{12}$

B) $\frac{121}{144}$

C) 1

D) $\frac{11}{288}$

Question 26

Multiply as indicated. Write the answer as a fraction in lowest terms.

- $1 \frac{1}{8} \cdot \frac{7}{10}$

A) $\frac{63}{80}$

B) $\frac{28}{45}$

C) $\frac{3}{80}$

D) $\frac{15}{19}$

Question 27

Multiply as indicated. Write the answer as a fraction in lowest terms.

- $1 \frac{1}{4} \cdot 2 \frac{3}{5}$

A) $\frac{52}{25}$

B) $\frac{1}{8}$

C) $\frac{31}{14}$

D) $\frac{13}{4}$

Question 28

Multiply as indicated. Write the answer as a fraction in lowest terms.

- $4 \cdot 1 \frac{7}{18}$

A) $\frac{97}{18}$

B) $\frac{2}{9}$

C) $\frac{50}{9}$

D) $\frac{29}{19}$

Question 29

Multiply as indicated. Write the answer as a fraction in lowest terms.

- $2 \frac{1}{20} \cdot 3 \frac{2}{5}$

A) $\frac{68}{41}$

B) $\frac{697}{100}$

C) $\frac{41}{300}$

D) $\frac{133}{55}$

Question 30

Divide as indicated. Write the answer as a fraction in lowest terms.

- $\frac{7}{8} \div \frac{1}{3}$

A) $\frac{21}{8}$

B) $\frac{7}{8}$

C) $\frac{8}{11}$

D) $\frac{7}{24}$

Question 31

Divide as indicated. Write the answer as a fraction in lowest terms.

- $\frac{3}{10} \div \frac{5}{7}$

A) $\frac{21}{50}$

B) $\frac{8}{17}$

C) $\frac{3}{50}$

D) $\frac{3}{14}$

Question 32

Divide as indicated. Write the answer as a fraction in lowest terms.

- $\frac{11}{14} \div 2 \frac{2}{9}$

A) $\frac{31}{23}$

B) $\frac{99}{280}$

C) $\frac{11}{280}$

D) $\frac{110}{63}$

Question 33

Divide as indicated. Write the answer as a fraction in lowest terms.

- $3 \frac{1}{5} \div 5 \frac{1}{2}$

A) $\frac{32}{55}$

B) $\frac{16}{55}$

C) $\frac{88}{5}$

D) $\frac{27}{7}$

Question 34

Divide as indicated. Write the answer as a fraction in lowest terms.

- $5 \div 6 \frac{2}{3}$

A) $\frac{1}{4}$

B) $\frac{40}{7}$

C) $\frac{100}{3}$

D) $\frac{3}{4}$

Question 35

Divide as indicated. Write the answer as a fraction in lowest terms.

- $2 \frac{5}{13} \div 7$

A) $\frac{13}{4}$

B) $\frac{31}{273}$

C) $\frac{31}{91}$

D) $\frac{217}{13}$

Question 36

Add as indicated. Write the answer as a fraction in lowest terms.

- $\frac{3}{7}+\frac{3}{7}$

A) $\frac{6}{7}$

B) 0

C) $\frac{3}{7}$

D) $\frac{9}{7}$

Question 37

Add as indicated. Write the answer as a fraction in lowest terms.

- $\frac{9}{22}+\frac{4}{11}$

A) $\frac{17}{44}$

B) $\frac{36}{11}$

C) $\frac{17}{22}$

D) $\frac{1}{22}$

Question 38

Add as indicated. Write the answer as a fraction in lowest terms.

- $\frac{1}{6}+\frac{3}{4}$

A) $\frac{2}{5}$

B) $\frac{11}{5}$

C) $\frac{1}{6}$

D) $\frac{11}{12}$

Question 39

Add as indicated. Write the answer as a fraction in lowest terms.

- $\frac{10}{11}+\frac{1}{6}$

A) $\frac{71}{66}$

B) $\frac{11}{17}$

C) $\frac{71}{17}$

D) $\frac{1}{6}$

Question 40

Add as indicated. Write the answer as a fraction in lowest terms.

- $\frac{5}{48}+\frac{1}{18}$

A) $\frac{1}{324}$

B) $\frac{69}{17}$

C) $\frac{4}{51}$

D) $\frac{23}{144}$

Question 41

Add as indicated. Write the answer as a fraction in lowest terms.

- $1 \frac{1}{3}+3 \frac{1}{2}$

A) $\frac{29}{6}$

B) $\frac{29}{5}$

C) $\frac{11}{5}$

D) $\frac{11}{6}$

Question 42

Add as indicated. Write the answer as a fraction in lowest terms.

- $14 \frac{2}{3}+4 \frac{1}{6}$

A) $\frac{113}{3}$

B) $\frac{23}{6}$

C) $\frac{23}{3}$

D) $\frac{113}{6}$

Question 43

Add as indicated. Write the answer as a fraction in lowest terms.

- $4 \frac{4}{19}+6 \frac{9}{11}$

A) $\frac{461}{6}$

B) $\frac{2305}{209}$

C) $\frac{31}{6}$

D) $\frac{155}{209}$

Question 44

Add as indicated. Write the answer as a fraction in lowest terms.

- $\frac{2}{21}+\frac{1}{7}$

A) $\frac{1}{14}$

B) $\frac{5}{42}$

C) $\frac{3}{28}$

D) $\frac{5}{21}$

Question 45

Subtract as indicated. Write the answer as a fraction in lowest terms.

- $\frac{6}{7}-\frac{3}{7}$

A) $\frac{9}{7}$

B) $\frac{18}{7}$

C) $\frac{3}{7}$

D) $\frac{3}{14}$

Question 46

Subtract as indicated. Write the answer as a fraction in lowest terms.

- $\frac{6}{26}-\frac{4}{26}$

A) $\frac{5}{13}$

B) $\frac{1}{26}$

C) $\frac{12}{13}$

D) $\frac{1}{13}$

Question 47

Subtract as indicated. Write the answer as a fraction in lowest terms.

- $\frac{4}{9}-\frac{1}{3}$

A) $\frac{1}{27}$

B) $\frac{2}{3}$

C) $\frac{1}{9}$

D) 9

Question 48

Subtract as indicated. Write the answer as a fraction in lowest terms.

- $\frac{2}{3}-\frac{1}{5}$

A) $\frac{15}{7}$

B) $\frac{7}{15}$

C) $\frac{28}{3}$

D) $\frac{1}{90}$

Question 49

Subtract as indicated. Write the answer as a fraction in lowest terms.

- $\frac{20}{23}-\frac{10}{21}$

A) $\frac{10}{483}$

B) $\frac{190}{23}$

C) $\frac{483}{190}$

D) $\frac{190}{483}$

Question 50

Subtract as indicated. Write the answer as a fraction in lowest terms.

- $4 \frac{2}{3}-4 \frac{3}{5}$

A) $\frac{1}{3}$

B) 15

C) $\frac{1}{15}$

D) $\frac{1}{6}$

Question 51

Subtract as indicated. Write the answer as a fraction in lowest terms.

- $54 \frac{1}{2}-22 \frac{1}{3}$

A) $\frac{6}{193}$

B) $\frac{193}{2}$

C) $\frac{193}{6}$

D) 7

Question 52

Subtract as indicated. Write the answer as a fraction in lowest terms.

- $\frac{2}{5}-\frac{1}{4}$

A) $\frac{3}{20}$

B) 0

C) $\frac{13}{20}$

D) $\frac{1}{2}$

Question 53

Ellen is knitting a scarf with one 2 -inch blue stripe, one $2 \frac{4}{5}$ -inch green stripe, and one $5 \frac{2}{3}$ -inch white stripe. How wide is the scarf?

A) $3 \frac{1}{14}$ in.

B) $\frac{14}{43}$ in.

C) $10 \frac{7}{15} \mathrm{in}$ .

D) $\frac{15}{157}$ in.

Question 54

While shopping for a party, June bought $2 \frac{4}{5}$ pounds of hamburger, $4 \frac{1}{4}$ pounds of chicken, and $5 \frac{1}{2}$ pounds of ham. How much meat did she buy?

A) $\frac{11}{42} \mathrm{lb}$

B) $\frac{20}{251} \mathrm{lb}$

C) $12 \frac{11}{20} \mathrm{lb}$

D) $3 \frac{9}{11} \mathrm{lb}$

Question 55

To obtain a certain shade of paint, Peter mixed $2 \frac{4}{5}$ gallons of white paint with $1 \frac{5}{8}$ gallons of brown and $9 \frac{1}{2}$ gallons of blue paint. How much paint did he have?

A) $\frac{15}{46}$ gal

B) $3 \frac{1}{15}$ gal

C) $\frac{40}{557}$ gal

D) $13 \frac{37}{40}$ gal

Question 56

If John puts $\frac{2}{3} \mathrm{lb}$ of roast beef on each sandwich, how many sandwiches can he make from $2 \frac{2}{3} \mathrm{lb}$ of roast beef?

A) 2 sandwiches
B) 8 sandwiches
C) 3 sandwiches
D) 4 sandwiches

Question 57

Anne writes one page in $\frac{3}{4}$ of an hour. How many pages can she write in $2 \frac{1}{4}$ hours?

A) 1 page(s)
B) 3 page(s)
C) 2 page(s)
D) 5 page(s)

Question 58

A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 6 inches wide. When it is trimmed, it is $5 \frac{7}{16}$ inches wide. How much width was trimmed off?

A) $6 \frac{9}{16}$ inches

B) $\frac{9}{16}$ inch

C) $\frac{7}{16}$ inch

D) $\frac{87}{16}$ inches

Question 59

Using the chart above, (I) how many cups of milk would be needed for 4 microwave servings? (II) How many tablespoons of butter would be needed for 5 stove top servings?

A) 5 cups; $\frac{3}{8} \mathrm{Tbsp}$

B) 2 cups; $\frac{1}{8} \mathrm{Tbsp}$

C) $4 \frac{2}{3}$ cups; $\frac{5}{8} \mathrm{Tbsp}$

D) $1 \frac{7}{12}$ cups; $\frac{3}{4} \mathrm{Tbsp}$

Question 60

Find the perimeter of the triangle in the figure.

A) $14 \frac{1}{3} \mathrm{ft}$

B) $19 \frac{1}{3} \mathrm{ft}$

C) $19 \frac{2}{5} \mathrm{ft}$

D) $19 \frac{1}{5} \mathrm{ft}$

Question 61

In a school survey, students showed these preferences for instructional materials.
About how many students would you expect to prefer computers in a school of 500 students?

A) About 90 students
B) About 36 students
C) About 180 students
D) About 100 students

Question 62

In a school survey, students showed these preferences for instructional materials.
About how many students would you expect to prefer lectures in a school of 950 students?

A) About 18 students
B) About 171 students
C) About 190 students
D) About 342 students

Question 63

Write the decimal as a fraction. Do not write in lowest terms.

-0.102

A) $\frac{51}{1000}$

B) $\frac{204}{1000}$

C) $\frac{1}{102}$

D) $\frac{102}{1000}$

Question 64

Write the decimal as a fraction. Do not write in lowest terms.

-2.5

A) $\frac{25}{10}$

B) $\frac{1}{25}$

C) $\frac{50}{100}$

D) $\frac{50}{10}$

Question 65

Write the decimal as a fraction. Do not write in lowest terms.

-3.68

A) $\frac{184}{100}$

B) $\frac{1}{368}$

C) $\frac{368}{100}$

D) $\frac{736}{100}$

Question 66

Write the decimal as a fraction. Do not write in lowest terms.

-4.57

A) $\frac{228.5}{100}$

B) $\frac{914}{100}$

C) $\frac{457}{100}$

D) $\frac{1}{457}$

Question 67

Write the decimal as a fraction. Do not write in lowest terms.

-0.8

A) $\frac{1}{8}$

B) $\frac{8}{100}$

C) $\frac{1}{80}$

D) $\frac{8}{10}$

Question 68

Write the decimal as a fraction. Do not write in lowest terms.

-4.363

A) $\frac{4363}{10,000}$

B) $\frac{4363}{100}$

C) $\frac{4363}{1000}$

D) $\frac{4363}{10}$

Question 69

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.

- $7.687+8.958$

A) 17.645
B) 16.645
C) -1.271
D) 1.271

Question 70

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.

- $5.26+5.657$

A) -0.397
B) 0.397
C) 11.017
D) 10.917

Question 71

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.

- $17.2+19.742$

A) 2.542
B) 36.942
C) -2.542
D) 37.042

Question 72

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.

- $7+4.33+0.421$

A) 3.091
B) 2.249
C) 11.751
D) 10.909

Question 73

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.

- $13.5-11.51$

A) 2.09
B) 25.01
C) -1.99
D) 1.99

Question 74

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.

- $11-0.749$

A) -10.251
B) 11.749
C) 10.251
D) 10.351

Question 75

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.

- $16.004-7.352$

A) -8.652
B) 23.356
C) 8.752
D) 8.652

Question 76

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.

- $87.857+26.1+591.184+406.426$

A) 745.7836
B) 1346.467
C) 579.5014
D) 1111.567

Question 77

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.

- $87.382+179.068+4.436$

A) 310.81
B) 109.7248
C) 192.2422
D) 270.886

Question 78

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first.

- $2.60 \times 4$

A) 6.6
B) 10
C) 6
D) 10.4

Question 79

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first.

- $2.0 \times 1.0$

A) 2.00
B) 2.1
C) 2.111
D) 2.11

Question 80

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first.

- $145.1 \times 0.42$

A) 60.942
B) 61.052
C) 61.042
D) 61.053