Writing Equations Worksheet

Practice writing algebraic equations from word problems and given information at a Grade 9 level.

Grade 9 Math AlgebraOne-variable EquationsWriting Equations

Use This Worksheet

Includes

2 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.SSE.A.1

Topics

AlgebraEquationsWord ProblemsGrade 9 Math

6 sections · Free to use · Printable

Writing Equations Practice

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Read each problem carefully and write an algebraic equation to represent the given situation. Define your variables clearly.

1. A number increased by seven is equal to twenty-three. Write an equation to represent this.

Let x be the number.

2. Three times a number, decreased by five, is eleven. Write an equation to represent this.

Let n be the number.

3. The sum of two consecutive integers is forty-five. Write an equation to represent this.

Let x be the first integer.

Fill in the blanks to complete the equations based on the phrases.

1. Eight less than twice a number is fourteen. 2x - = 14

2. The product of a number and six is thirty. 6 = 30

3. Half of a number plus nine is fifteen. /2 + 9 = 15

1. Which equation represents 'The perimeter of a square with side length 's' is 36 units'?

s² = 36

4s = 36

s + 4 = 36

s / 4 = 36

2. Sarah is 'x' years old. Her brother is 3 years older than her. Their combined age is 25. Which equation represents this?

x + 3 = 25

x + (x + 3) = 25

3x = 25

2x + 3 = 25

For each scenario, define your variables and then write an equation.

1. A rectangular garden has a length that is twice its width. The perimeter of the garden is 48 meters.

Define variables:

Equation:

2. John bought 'c' candies at $0.75 each and a drink for $2.50. He spent a total of $10.00.

Define variables:

Equation: