Simplifying Equations Worksheet

Practice simplifying algebraic expressions and solving one-step and two-step equations for Grade 7 math students.

Grade 7 Math AlgebraSimplifying Equations

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.EE.A.1CCSS.MATH.CONTENT.7.EE.B.3CCSS.MATH.CONTENT.7.EE.B.4

Topics

algebraequationssimplifying expressionsgrade 7

8 sections · Free to use · Printable

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Simplifying Equations Practice

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Read each question carefully and show your work for full credit. Simplify expressions and solve for the variable in each equation.

Simplify each expression.

1. 5x + 3y - 2x + 7y

2. 4(2a - 3) + 5

3. 10 - (p + 4) + 3p

Fill in the blank with the correct term from the word bank.

Coefficient

Variable

Constant

Term

4. In the expression 7x + 5, the '7' is the .

5. A letter used to represent an unknown value is called a .

6. A number without a variable is referred to as a .

Solve each one-step equation. Choose the correct answer.

7. x + 9 = 15

x = 24

x = 6

x = 1.5

x = 0.6

8. 4y = 32

y = 28

y = 8

y = 36

y = 0.125

Solve each two-step equation.

9. 3x + 7 = 22

10. 5y - 12 = 18

11. (z / 4) + 6 = 10

Determine if the following statements are true or false.

12. The equation 2x + 3 = 3 + 2x has infinitely many solutions.

True

False

13. To solve for 'a' in the equation a - 8 = 10, you should subtract 8 from both sides.

True

False

Solve the following word problem by writing and simplifying an equation.

14. Sarah bought 3 notebooks and a pen. The pen cost $2. If her total bill was $11, how much did each notebook cost?