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Algebra Basics Practice Worksheet
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Algebra Basics Practice Worksheet
Write an expression or solve each equation as directed. Show working where space is provided.
Understanding Algebraic Expressions
A variable is a letter that represents a number.
1.Write an algebraic expression for 6 more than a number, r.
2.Write an algebraic expression for five times a number, k.
3.Write an algebraic expression for a number, t, divided by 3.
4.Write an algebraic expression for 8 less than a number, b.
5.If c = 7, find the value of c + 4.
6.If d = 6, find the value of 4d.
7.If e = 9, find the value of 17 − e.
8.If f = 5, find the value of f².
9.Which expression means “three times a number, q, then add 4”?
- 3 + q + 4
- 3q + 4
- 3(q + 4)
- q + 3 + 4
10.Select all expressions that equal 15 when w = 5.
- 3w
- w + 10
- 2w + 6
- 60 ÷ w
Solving Simple Equations
An equation says that two quantities are equal. Find the value of the variable that makes the equation true.
11.Solve x + 8 = 19. Show your working.
12.Solve 4y = 28. Show your working.
13.Solve m − 9 = 13. Show your working.
14.Solve n ÷ 4 = 8. Show your working.
15.Sione buys notebooks for $4 each and spends $28 altogether. Write an equation using p for the number of notebooks, then solve it.
16.Explain what it means to solve an equation. What value are you looking for?
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