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Equations with Variable Expressions in the Denominator

Total questions: 10

Worksheet time: 48mins

Name
Class
Date
1.

Aiden, Evelyn, and Noah are on a treasure hunt. They found a mysterious note with an equation: 3/(x + 2) = 5(x-5). Can you help them eliminate answers that would get them lost and give them an error on their map?

What can x not be?

a)

b)

c)

d)

2.

Find the value of x in the equation: 2/(x - 1) = 7/3

a)

13/7

b)

1/13

c)

3/7

d)

-7/13

3.

Sophia, Noah, and Benjamin are on a treasure hunt. They found a mysterious note with the equation: 4/(2x + 6) = 2/(x + 3). Can you help them solve this riddle to find the treasure?

a)

The treasure doesn't exist

b)

The treasure is everywhere

All real numbers

where x is not equal to -3.

c)

The treasure is at x = -3

d)

The treasure is at x = 0

4.

Solve the equation: 5/(2x - 1) = 3/(2x-1)

a)

2/3

b)

4/3

c)

no solution

d)

5/3

5.

Anika, Emma, and Aria are trying to solve a math problem. They need to find the value of x in the equation: 7/(3x + 4) = 2/5, which represents the ratio of apples to oranges they have. Can you help them find the value of x?

a)

0.5

b)

-4.5

c)

2.5

d)

4.5

6.

Simplify the equation: 2/(3x - 2) = 4/(6x - 4) solve this question on the paper provided and turn it in.

a)

x = any real number

b)

x = 1

c)

x = 0

d)

x = 2

7.

Solve the equation: 6/(x + 5) = 2

a)

5

b)

0

c)

-2

d)

10

8.

Use the scrap paper provided to show your work.

a)

b)

c)

d)

0

9.

Solve the equation: 4/(3x - 1) = 7

a)

11/21

b)

-3/7

c)

2/5

d)

5/9

10.

Write an equation with the restrictions x≠ 14,2,0. Hint: the numerator does not matter. Use “/” for the fraction bar.

a)

(x+7)/(x+14)(x+2)

b)

5/x(x-14)(x-2)

c)

10/(x+14)(x+2)

d)

(x)/(x+14)(x+2)