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Building Algebraic Expressions

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Building Algebraic Expressions

Write each expression using the variable given. Remember that a number beside a variable means multiplication.

Variables and Constants

A variable is a letter that can stand for a number. A constant is a number that stays fixed.

1.For each expression, name the variable and the constant term: 4a + 9; 6 + t; 3k − 8.

2.Which expression means 7 more than a number, d?

7d
d + 7
d − 7
7 − d

3.Kahu has c pieces of card in the library makerspace and is given 9 more. Which expression shows how many pieces Kahu has now?

9c
c + 9
c − 9
9 − c

Build Expressions from Situations

Translate each situation into an algebraic expression. Use the variable named in the question.

4.Hemi has h wooden pieces and uses 5 of them to build a model. Write an expression for the pieces left.

5.There are 8 trays in the makerspace, each holding p small components. Write an expression for the total number of components.

6.Ngaio puts $6 into a savings jar each week for w weeks. Write an expression for the total amount saved, in dollars.

7.A makerspace kit costs $38. Write an expression for the cost, in dollars, of buying n kits.

8.A workbench has 5 rows of storage tubs, with x tubs in each row, plus 3 tubs on a shelf. Write an expression for the total number of tubs, then explain what each part represents.

Check and Extend

Think carefully about how order and operations affect an expression.

9.Decide whether each statement is true or false: a) 9 + q = q + 9; b) 4r = r × 4; c) 6 − m = m − 6.

TrueFalse

10.Make up a makerspace situation that can be represented by an algebraic expression. Write the situation and its expression.

11.In your own words, explain what a variable does in an algebraic expression.

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About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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