Equations with Variable Expressions in the Denominator

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?

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

• 13/7

• 1/13

• 3/7

• -7/13

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?

• The treasure doesn't exist

• The treasure is everywhere

  All real numbers

  where x is not equal to -3.

• The treasure is at x = -3

• The treasure is at x = 0

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

• 2/3

• 4/3

• no solution

• 5/3

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?

• 0.5

• -4.5

• 2.5

• 4.5

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

• x = any real number

• x = 1

• x = 0

• x = 2

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

• 5

• 0

• -2

• 10

Use the scrap paper provided to show your work.

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

• 11/21

• -3/7

• 2/5

• 5/9

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

• (x+7)/(x+14)(x+2)

• 5/x(x-14)(x-2)

• 10/(x+14)(x+2)

• (x)/(x+14)(x+2)