Simplifying and Collecting Like Terms - Worksheets, Questions and Revision

18 original exam-style questions - 5 pages of questions with a full mark scheme - free printable PDF.

Download PDFJump to mark scheme (page 6)
« Previous: Introduction to Algebraic NotationNext: Substitution into Expressions and Formulae »
Revision Library
revisionlibrary.co.uk
KS3 · Algebra

KS3.M-A5 Simplifying and Collecting Like Terms

AQA KS3.M-A5 · Calculators not allowed · about 50 minutes
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write down whether each pair of terms is like terms or not. State yes or no.
(a)3x and -7x(1)
(b)5ab and 2ba(1)
(c)4x2 and -x(1)
(d)7y and 7(1)
2
Collect like terms and simplify each expression.
(a)Simplify 2x + 5x(1)
(b)Simplify 6y - 2y(1)
(c)Simplify 3a + 4b + 2a(1)
3
Simplify each single-term combination.
(a)Simplify -2m + 7m(1)
(b)Simplify 4p - 9p(1)
(c)Simplify 0 + 6t(1)
4
Simplify each expression by collecting like terms. Show working.
(a)Simplify 8x + 3x - 5x(2)
(b)Simplify 2a + 4b + 3a - b(2)
5
Simplify the expressions and write the result in simplest form.
(a)Simplify 3x + 2 - x + 5(2)
(b)Simplify 6y - 2 + y + 8(2)
6
Simplify each product by multiplying the coefficient only (variables stay as letters).
(a)Calculate 4 x 3x(1)
(b)Calculate -2 x 5y(1)
7
Multiply out the brackets where the brackets contain a single term.
(a)Simplify 5(2x)(1)
(b)Simplify -3(4y)(1)
(c)Simplify 2(-3a)(1)
8
Simplify the following by multiplying coefficients and keeping variables.
(a)Simplify 3 x 2ab(1)
(b)Simplify -1 x 7xy(1)
9
Simplify each quotient by dividing the coefficient only. Keep variables unchanged.
(a)Simplify (12x) ÷ 3(1)
(b)Simplify (9y) ÷ 3(1)
(c)Simplify (-6a) ÷ 2(1)
10
Simplify fully by collecting like terms and performing simple multiplications.
(a)Simplify 2(3x) + 4x(3)
11
Expand and then simplify the expression where the bracket has two terms multiplied by a number.
(a)Simplify 3( x + 2 )(2)
12
Simplify and collect like terms after expanding. Show your method.
(a)Simplify 2(x + 3) + x(2)
13
Collect like terms and simplify each expression with two different variables.
(a)Simplify 4x + 3y + 2x - y(3)
14
Simplify each expression that mixes multiplication and addition.
(a)Simplify 4( x + 1 ) + 2x(3)
15
Collect like terms and simplify. Some coefficients are negative.
(a)Simplify -2x + 5x - 3 + 7(3)
16
Simplify and write in simplest form. Combine like terms and simplify products.
(a)Simplify 2( x + 2 ) + 3( x - 1 )(3)
17
A small puzzle: simplify and then evaluate when x = 2.
(a)Simplify 2x + 3x - 4 and then find its value when x = 2(3)
18
Stretch question. Simplify fully, showing each step clearly.
(a)Simplify 3(x + 2) - 2(x - 1) + x(3)
Mark scheme · KS3.M-A5 Simplifying and Collecting Like Terms

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18