Simplifying and Collecting Like Terms: Fluency and Exam Drill - Worksheets, Questions and Revision

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KS3 · Algebra

KS3.M-A5D Simplifying and Collecting Like Terms: Fluency and Exam Drill

AQA KS3.M-A5 · Calculators not allowed · about 50 minutes

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

State whether 4x and 4y are like terms. Give your answer as yes or no.

(1)

State whether 3p and 8p are like terms. Give your answer as yes or no.

(1)

Simplify 5x + 2x.

(1)

Simplify 9y - 4y.

(1)

Simplify 3 x 4a.

(1)

Simplify 10b / 5.

(1)

Simplify 6c + c.

(1)

Simplify 8x + 3x - 5x.

(2)

Simplify 7a - 2a + 3a.

(2)

Expand and simplify 6(3y).

(2)

Simplify fully: 5x + 3y - 2x + y.

(2)

Simplify -3a + 7a.

(2)

Expand and simplify 2(x + 5).

(2)

Expand and simplify 3(x + 4) + 2x.

(3)

Simplify fully: 4a + 3b - a + 5b - 2a.

(3)

Expand and simplify 5(2x - 3) - 4x.

(3)

Expand and simplify 3(x + 2) + 2(x - 5).

(4)

Simplify fully 4(2x - 1) - 3(x - 2), then find its value when x = 3.

(4)

Stretch. Simplify fully, showing each step clearly: 6(x + 3) - 2(2x - 5) + 4.

(4)

Mark scheme · KS3.M-A5D Simplifying and Collecting Like Terms: Fluency and Exam Drill

Question 1

B1 No, because the letters are different
Answer: No

Question 2

B1 Yes, because both terms have the letter p
Answer: Yes

Question 3

B1 7x cao
Answer: 7x

Question 4

B1 5y cao
Answer: 5y

Question 5

B1 12a cao
Answer: 12a

Question 6

B1 2b cao
Answer: 2b

Question 7

B1 7c cao
Answer: 7c

Question 8

M1 collects the like terms correctly
A1 6x cao
Answer: 6x

Question 9

M1 collects the like terms correctly
A1 8a cao
Answer: 8a

Question 10

M1 multiplies the coefficients correctly, keeping the variable unchanged
A1 18y cao
Answer: 18y

Question 11

M1 collects the x terms correctly, e.g. 5x - 2x = 3x
A1 3x + 4y cao
Answer: 3x + 4y

Question 12

M1 collects the like terms correctly, keeping track of the negative sign
A1 4a cao
Answer: 4a

Question 13

M1 expands the bracket correctly, e.g. 2x + 10
A1 2x + 10 cao
Answer: 2x + 10

Question 14

M1 expands the bracket correctly, e.g. 3x + 12
M1 collects the x terms correctly, e.g. 3x + 2x = 5x
A1 5x + 12 cao
Answer: 5x + 12

Question 15

M1 collects the a terms correctly, e.g. 4a - a - 2a = a
M1 collects the b terms correctly, e.g. 3b + 5b = 8b
A1 a + 8b cao
Answer: a + 8b

Question 16

M1 expands the bracket correctly, e.g. 10x - 15
M1 collects the x terms correctly, e.g. 10x - 4x = 6x
A1 6x - 15 cao
Answer: 6x - 15

Question 17

M1 expands the first bracket correctly, e.g. 3x + 6
M1 expands the second bracket correctly, e.g. 2x - 10
M1 collects all like terms correctly
A1 5x - 4 cao
Answer: 5x - 4

Question 18

M1 expands the first bracket correctly, e.g. 8x - 4
M1 expands the second bracket correctly, keeping the sign, e.g. -3x + 6
A1 5x + 2 cao
A1 17 cao when x = 3
Answer: 5x + 2; when x = 3 the value is 17

Question 19

M1 expands the first bracket correctly, e.g. 6x + 18
M1 expands the second bracket correctly, keeping the sign, e.g. -4x + 10
M1 collects the x terms and constants correctly
A1 2x + 32 cao
Answer: 2x + 32

Question 19

4 marks

Your answer

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Simplifying and Collecting Like Terms: Fluency and Exam Drill - Worksheets, Questions and Revision

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KS3.M-A5D Simplifying and Collecting Like Terms: Fluency and Exam Drill

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