Proportion Equation Worksheets

Share this page to Google Classroom

There are four sets of solving equation worksheets:

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to solve proportion equations using cross multiplication.

How to solve a proportion equation by cross multiplication?

There are four sets of simplifying algebraic expression worksheets.

Proportion Equations (monomial)
Proportion Equations (binomial)
Proportion Equations (1 monomial & 1 binomial)
Proportion Equations (2 binomials)

Cross multiplication is a method of solving proportion equations that involves multiplying the numerator of one fraction by the denominator of the other fraction, and vice versa. This creates a new equation that can be solved for the variable.

Follow these steps to solve a proportion equation by cross multiplication:

Write the proportion equation in the form a/b = c/d.
Multiply the numerator of the first fraction by the denominator of the second fraction, and vice versa.
Set the products equal to each other.
Solve for the variable.

Example:
Solve the proportion equation 2/3 = 5/x.

Write the proportion equation in the form a/b = c/d.
2/3 = 5/x
Multiply the numerator of the first fraction by the denominator of the second fraction, and vice versa.
2 × x = 3 × 5
2x = 15
Set the products equal to each other.
2x = 15
Solve for the variable.
x = 15 / 2
x = 7.5

Therefore, the solution to the equation is x = 7.5.

Have a look at this video if you need to review how to solve proportions using cross multiplication.

How to Solve Proportions Using Cross Multiplication

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Proportion Equation Worksheets.

More Proportion Equation Worksheets

Printable
(Answers on the second page.)
Proportion Equation Worksheet #1 (monomial)
Proportion Equation Worksheet #2 (binomial)
Proportion Equation Worksheet #3 (monomial, binomial)
Proportion Equation Worksheet #4 (two binomials)

Online or Generated
1-step Equations (Add or Subtract)
1-step Equations (Multiply or Divide)
Solving 1-Step Equations

2-Step Equations
Solving 2-Step Equations

Combine like Terms (Sprint)
Solve by Combining Like Terms
Solve Equations with the Variable on Both Sides

Solve Equations by Distributive Property
Solve Multi-Step Equations 1
Solve Multi-Step Equations 2
Solve Word Problems using Algebra

Solving Equations using Cross Multiplication
Solving Equations by Combining like terms

More Printable Worksheets

Check out our most popular games!
Fraction Concoction	Fact Family Game	Number Bond Garden
Online Addition Subtraction Game	Penguin Solitaire	Sawayama Solitaire
Ark Solitaire	Eldritch Invasion	Shenzhen Solitaire