MathsFreePrintable

Foundational Algebra Concepts

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Download now

Name:Date:

Foundational Algebra Concepts

Read each question carefully. Show your working for substitution questions.

Algebraic vocabulary and notation

1.Which notation means 7 multiplied by p?

p + 7
7p
p ÷ 7
7 + p

2.Does 6r − 4 = 20 state that two quantities are equal, or does it have no equals sign?

3.Classify 9k + 2 as an expression or an equation.

4.Match each algebra term to its meaning.

Variable
Coefficient
Constant
Equation
Expression

Numbers, variables and operations without an equals sign
A statement showing that two quantities are equal
A number on its own, without a variable
A letter that represents a number
The number multiplying a variable

5.For 8n + 11, identify the variable, the coefficient of n, and the constant term.

6.Write a mathematical phrase for 5 multiplied by c, then add 3.

7.Write a mathematical phrase for t divided by 4.

Substitution and inequality symbols

8.When a = 3 and b = 5, calculate 4a + b.

9.When a = 3 and b = 5, calculate 2b − a.

10.Choose the symbol that makes 18 ___ 14 true.

11.Choose the symbol that makes 6 ___ 6 true.

12.If x = 4, choose the symbol that makes 3x ___ 11 true.

13.If y = 7, which statement is true?

y + 2 < 8
y − 3 = 4
2y < 10
y ÷ 7 > 2

Build and explain

14.Write a mathematical phrase containing two different variables, with a coefficient on at least one variable.

15.Write an equation using the variable q. Include an equals sign and make the equation true when q = 6.

16.Explain how a mathematical phrase with numbers, variables and operations differs from a statement of equality. Include what an equals sign tells you.

17.A game gives 4 points for each level completed, plus 3 bonus points. Write a rule for the score after x levels, then find the score when x = 3.