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