Grade 7 Expressions and Equations Worksheet
This worksheet provides practice with writing, evaluating, and solving algebraic expressions and equations for 7th-grade students.
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Grade 7 Expressions and Equations
Name:
Date:
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Read each question carefully and follow the directions. Show all your work when necessary.
Write an algebraic expression for each phrase.
1. Eight more than a number y:
2. The product of 7 and a number x:
3. A number decreased by 12:
4. The quotient of a number m and 5:
Evaluate each expression for the given value.
1. Evaluate 3x + 5 when x = 4.
2. Evaluate 10 - 2y when y = -3.
3. Evaluate (z + 6) / 2 when z = 8.
Solve each equation. Choose the correct answer.
1. x + 7 = 15
x = 8
x = 22
x = 105
x = 12
2. 4y = 28
y = 24
y = 32
y = 7
y = 112
Solve each equation. Show your steps.
1. 2x + 3 = 11
2. 5y - 8 = 12
3. (z / 4) - 1 = 3
Write an equation and solve the word problem.
1. Sarah bought a book for $15 and 3 pens. She spent a total of $24. How much did each pen cost?
2. A rectangle has a perimeter of 30 cm. If the length is 10 cm, what is the width?
Determine if the statement is true or false.
1. The expression 2(x + 3) is equivalent to 2x + 3.
True
False
2. The solution to 3x = 21 is x = 7.
True
False
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