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Algebra Basics Practice Worksheet

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Algebra Basics Practice Worksheet

Algebra Adventures – Lessons 1 & 2 Review

Part 1: Understanding Algebraic Expressions

Algebra uses letters (called variables) to represent unknown numbers.

1. Write an algebraic expression for each description below.

a) A number n increased by 7: _____________

b) Three times a number x: _____________

c) A number y divided by 4: _____________

d) Ten less than a number m: _____________

2. If a = 5, find the value of each expression.

a) a + 9 = _____________

b) 3a = _____________

c) 20 − a = _____________

d) a² = _____________

3. Which of the following is the correct expression for "double a number p, then add 3"?

2 + p + 3

2p + 3

2(p + 3)

p + 2 + 3

4. Circle ALL expressions that have a value of 12 when n = 4.

3n

n + 8

2n + 5

48 ÷ n

Part 2: Solving Simple Equations

An equation shows that two expressions are equal. Solve by finding the value of the unknown.

5. Solve each equation. Show your working in the box provided.

a) x + 6 = 15     x = _____

b) 3y = 24     y = _____

c) m − 4 = 11     m = _____

d) n ÷ 5 = 6     n = _____

6. Tane buys some pens for his class. Each pen costs $3 and he spends $18 in total. Write an equation to find the number of pens p he bought, then solve it.

Equation: _________________________

Answer: Tane bought _____ pens.

7. In your own words, explain what it means to "solve" an equation. What are you trying to find?

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