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Worksheets

Absolute Value/Variable/Ratio/Proportion

Total questions: 20

Worksheet time: 24mins

Name
Class
Date
1.

Solve for y in the equation

 x =1yx\ =\frac{1}{y}  

a)

 x = yx\ =\ y  

b)

 y = 1xy\ =\ \frac{1}{x}  

c)

 y =x1y\ =\frac{x}{1}  

d)

 1 = yx1\ =\ yx  

2.

The area of a triangle has a formula of

 A =12bhA\ =\frac{1}{2}bh  , solve for h.

a)

 h =2bAh\ =\frac{2b}{A}   

b)

 h =2Abh\ =\frac{2A}{b}  

c)

 h =A2bh\ =\frac{A}{2b}  

d)

 h = b2Ah\ =\ \frac{b}{2A}  

3.

Solve for T in I = PRT

a)

T = PRIT\ =\ \frac{PR}{I}

b)

T =IPRT\ =\frac{IP}{R}

c)

T=IPRT=\frac{I}{PR}

d)

T = RIPT\ =\ \frac{R}{IP}

4.

What is the value of L in the equation ,

 I = LOVEI\ =\ LOVE  if O = 3, V = 2, E = 1 and I = 12

a)

L = 6

b)

L = 4

c)

L= 2

d)

L = 0

5.

Solve for x in the equation

 x = 8\left|x\right|\ =\ 8  

a)

x = -8 and x = 0

b)

x = 8 and x = 2

c)

x = 4 and x = -4

d)

x = 8 and x = -8

6.

How many solution does

 x=0\left|x\right|=0  have?

a)

three or more solutions

b)

two solutions

c)

one solution

d)

no solution

7.

How many solution does

 5x4 = 255-\left|x-4\right|\ =\ 25  have?

a)

Three or more solutions

b)

Two solutions

c)

One solution

d)

No solution

8.

What is the value of x in the equation

 x+6 = 15\left|x\right|+6\ =\ 15  ?

a)

x = 9 and x = -9

b)

x = 6 and x = -6

c)

x = 15 and x = -15

d)

x = 9 and x = 15

9.

What is the value of x in the equation

 2x5 = 302\left|x-5\right|\ =\ 30  ?

a)

x = 10 and x = -20

b)

x = -10 and x = 20

c)

x = 30 and x = -5

d)

x = -30 and x = 5

10.

What is the value of x in the equation

 5x+42=22-5\left|x+4\right|-2=-22  

a)

x = 0 and x = -8

b)

x = 0 and x = 8

c)

x = -20 and x = 5

d)

x = 20 and x = -5

11.

Solve for x in the proportion

 x5 = 1050\frac{x}{5}\ =\ \frac{10}{50}  

a)

x = 4

b)

x = 3

c)

x = 2

d)

x = 1

12.

Which of the following ratios show equivalent to

 35\frac{3}{5}  ?

a)

 615\frac{6}{15}  

b)

 1015\frac{10}{15}  

c)

 310\frac{3}{10}  

d)

 915\frac{9}{15}  

13.

Which is NOT equivalent to the ratio

 410\frac{4}{10}  ?

a)

 25\frac{2}{5}  

b)

 2050\frac{20}{50}  

c)

 615\frac{6}{15}  

d)

 1240\frac{12}{40}  

14.

Freeway in Tucson AZ requires the speed of the car must be 19 miles in every 3 hours. Find the unit rate of the speed required in the freeway

a)

60 miles per hour

b)

65 miles per hour

c)

70 miles per hour

d)

75 miles per hour

15.

Romeo is earning the standard rate of employee in Tucson AZ which is $96 in every 8 hours. Find the unit rate.

a)

 12 dollars1 hour\frac{\text{12}\ dollars}{1\ hour}  

b)

 15 dollars1 hour\frac{15\ dollars}{1\ hour}  

c)

 18 dollars1 hour\frac{18\ dollars}{1\ hour}  

d)

 20 dollars1 hour\frac{20\ dollars}{1\ hour}  

16.

If the scale of the paint in blueprint to the wall is 2 inches : 15 feet, how big is the 16 inches paint in blueprint to the wall?

a)

100 feet

b)

110 feet

c)

120 feet

d)

130 feet

17.

Find the value of x in the proportion

 2x = 1030\frac{2}{x}\ =\ \frac{10}{30}  

a)

x = 3

b)

x = 6

c)

x = 9

d)

x = 12

18.

Find the value of x in the proportion

 45x = 8\frac{4}{5}x\ =\ 8  

a)

x = 10

b)

x = 8

c)

x = 6

d)

x = 4

19.

Find the value of x in the proportion

 69 = x36\frac{6}{9}\ =\ \frac{x}{36}  

a)

x = 20

b)

x = 22

c)

x = 24

d)

x = 26

20.

A scale model of a car is 9 inches long. The scale is 1:18. How many inches long is the car it represents?

a)

158 inches

b)

160 inches

c)

162 inches

d)

164 inches