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Variables and Expressions Practice

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Variables and Expressions Practice

Review variable and expression vocabulary, identify parts of expressions, simplify, and translate situations into algebra. Show your steps for simplification problems.

Vocabulary and Identification

1.In your own words, explain what a variable represents in an algebraic expression.

2.Select every algebraic expression. An expression has no equality or inequality sign.

8p - 3
12 = 12
5r² + r - 9
m < 6
4q

3.For 7y² - 4y + 11, list the coefficients, the variable, the constant, and the number of terms.

4.Which expression contains exactly three terms?

9k
2m + 5
3x² - 6x + 8
4ab + a - 2b + 7

5.Match each algebra term to its description.

coefficient
constant
term
expression

a number multiplied by a variable
the number added or subtracted without a variable
one part of an expression, separated by + or - signs
a sum made from terms

Simplifying Expressions

6.Simplify 5x + 2x - 6.

7.Simplify 8a + 3b - 5a + 6b.

8.Simplify 4(2x - 3) + x.

9.Which expression is equivalent to 3(2n + 5) - 4n?

6n + 15
2n + 15
10n + 15
2n + 5

10.Simplify 2(3y - 4) + 5(y + 1).

Writing Expressions

11.A museum ticket costs $14. Let t represent the number of tickets. Write an expression for the total ticket cost.

12.A dog walker earns $18 per hour and receives an additional $12 for travel. Let h represent the hours worked. Write an expression for the total pay.

13.A rectangle is 6 inches wide and has a length of L inches. Write an expression for its perimeter.

14.Riley has c game tokens. Brianna has four times as many tokens as Riley. Write and simplify an expression for their total number of tokens.