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Unit 5 Test Study Guide (Equations & Inequalities)

Total questions: 35

Worksheet time: 18mins

Name
Class
Date
1.

x - 9 = 15

a)

20

b)

24

c)

4

d)

42

2.

4p = 52

a)

13

b)

15

c)

208

d)

48

3.

13 = k + 4

a)

k = 52

b)

k = 17

c)

k = 9

d)

k = 11

4.

 c4 = 7\frac{c}{4}\ =\ 7  

a)

c = 11

b)

c = 32

c)

c = 1.75

d)

c = 28

5.

z - 19 = 26

a)

z = 7

b)

z = 45

c)

z = 494

d)

z = 26

6.

24 = 8m

a)

m = 4

b)

m = 192

c)

m = 3

d)

m = 178

7.

25 + r = 61

a)

r = 36

b)

r = 86

c)

r = 25

d)

r = 61

8.

 m2.6 = 15\frac{m}{2.6}\ =\ 15  

a)

m = 40

b)

m = 5.8

c)

m = 39

d)

m = 12.4

9.

16.5 = 7.9 + w

a)

w = 8.6

b)

w = 86

c)

w = 24.4

d)

w = 112

10.

 f  56 = 1112f\ -\ \frac{5}{6}\ =\ \frac{11}{12}  

a)

 618\frac{6}{18}  

b)

 1618\frac{16}{18}  

c)

 612\frac{6}{12}  

d)

 1341\frac{3}{4}  

11.

 34y = 178\frac{3}{4}y\ =\ 1\frac{7}{8}  

a)

2

b)

 2122\frac{1}{2}  

c)

3

d)

 3123\frac{1}{2}  

12.

 412 = a ÷ 6234\frac{1}{2}\ =\ a\ \div\ 6\frac{2}{3}  

a)

a =  6126\frac{1}{2}  

b)

a = 40

c)

a = 30

d)

a =  4234\frac{2}{3}  

13.

14 subtracted from a number is 11

a)

n - 14 = 11

b)

14 - n = 11

c)

14 - 11 = n

d)

25 - 14 = n

14.

The product of a number and 3 is 72

a)

n + 3 = 72

b)

72 = n - 3

c)

72n = 3\frac{72}{n}\ =\ 3

d)

3n = 72

15.

The quotient of a number and 4 results in 3

a)

4 - n = 3

b)

4n = 3

c)

n4 = 3\frac{n}{4}\ =\ 3

d)

3n = 4

16.

9 is the sum of a number and 16

a)

25 - n = 9

b)

25 = n + 9

c)

16 = n + 9

d)

9 = n + 16

17.

Orlando, Florida is approximately 61 square miles less than the size of Tampa, Florida. If Orlando is 114 square miles, find the size of Tampa. Select the correct equation.

a)

t - 61 = 114

b)

114 - t = 61

c)

61t = 114

d)

114t = 61\frac{114}{t}\ =\ 61

18.

Rylan is saving money to purchase a ring for his girlfriend. If he has saved $825 so far and this is three-fifths of the cost of the ring, how much is the ring? Choose the correct equation.

a)

35 + r = 825\frac{3}{5}\ +\ r\ =\ 825

b)

r825 = 35\frac{r}{825}\ =\ \frac{3}{5}

c)

825 = 35r825\ =\ \frac{3}{5}r

d)

35 ÷ r = 825\frac{3}{5}\ \div\ r\ =\ 825

19.

Nora took a cab that charges $1.40 per mile from her house to the mall. If the total fare was $23.80, find the number of miles from her house to the mall. Choose the correct equation.

a)

1.40m = 23.80

b)

23.80m = 1.40\frac{23.80}{m}\ =\ 1.40

c)

23.80m = 1.40

d)

m - 1.40 = 23.80

20.

 A recipe calls for 234 cups of sugar. If Nora has already put in 156 cups, how many more cups of sugar are needed? Choose the correct equation.A\ recipe\ calls\ for\ 2\frac{3}{4}\ cups\ of\ sugar.\ If\ Nora\ has\ already\ put\ in\ 1\frac{5}{6}\ cups,\ how\ many\ more\ cups\ of\ sugar\ are\ needed?\ Choose\ the\ correct\ equation.  


a)

 156c = 2341\frac{5}{6}c\ =\ 2\frac{3}{4}  

b)

 156  c = 2341\frac{5}{6}\ -\ c\ =\ 2\frac{3}{4}  

c)

 234 ÷ c = 1562\frac{3}{4}\ \div\ c\ =\ 1\frac{5}{6}  

d)

 156 + c = 2341\frac{5}{6}\ +\ c\ =\ 2\frac{3}{4}  

21.

Choose the inequality that is represented in the graph

 

a)

 x < 8x\ <\ 8  

b)

 x > 8x\ >\ 8  

c)

 x  8x\ \le\ 8  

d)

 x  8x\ \ge\ 8  

22.

Choose the inequality that is represented in the graph

a)

x < 2x\ <\ 2

b)

x > 2x\ >\ 2

c)

x 2x\ \le\ 2

d)

x 2x\ \ge\ 2

23.

Choose the inequality that is represented in the graph

a)

 x < 13x\ <\ -13  

b)

 x > 13x\ >\ -13  

c)

 x  13x\ \le\ -13  

d)

 x  13x\ \ge\ -13  

24.

Choose the inequality that is represented in the graph

a)

x > 5x\ >\ -5

b)

x < 5x\ <\ -5

c)

x 5x\ \le\ -5

d)

x 5x\ \ge\ -5

25.

Choose the graph that represents " a number has a minimum value of -3"

a)
b)
c)
d)
26.

Choose the graph that represents “-7 is fewer than a number"

a)
b)
c)
d)
27.

Choose the graph that represents " a number greater than 12"

a)
b)
c)
d)
28.

Choose the graph that represents “the temperature was no more than 28"

a)
b)
c)
d)
29.

Write the inequality for “the temperature was no more than 28"

a)

x < 28x\ <\ 28

b)

x > 28x\ >\ 28

c)

x 28x\ \le\ 28

d)

x 28x\ \ge\ 28

30.

Write the inequality for " a number greater than 12"

a)

x < 12x\ <\ 12

b)

x > 12x\ >\ 12

c)

x 12x\ \le\ 12

d)

x 12x\ \ge\ 12

31.

Write the inequality for “-7 is fewer than a number"

a)

x > 7x\ >\ -7

b)

x < 7x\ <\ -7

c)

x 7x\ \ge\ -7

d)

x 7x\ \le\ -7

32.

Write the inequality for "a number has a minimum value of -3"

a)

x > 3x\ >\ -3

b)

x < 3x\ <\ -3

c)

x 3x\ \le\ -3

d)

x 3x\ \ge\ -3

33.

Nora took a cab that charges $1.40 per mile from her house to the mall. If the total fare was $23.80, find the number of miles from her house to the mall. Choose the correct solution.

a)

17 miles

b)

140 miles

c)

230 miles

d)

20 miles

34.

Rylan is saving money to purchase a ring for his girlfriend. If he has saved $825 so far and this is three-fifths of the cost of the ring, how much is the ring? Choose the correct solution.

a)

$1207

b)

$1375

c)

$1397

d)

$1430

35.

Orlando, Florida is approximately 61 square miles less than the size of Tampa, Florida. If Orlando is 114 square miles, find the size of Tampa. Select the correct solution.

a)

36 miles

b)

53 miles

c)

175 miles

d)

267 miles