Name:
Exam Style Questions
Collecting Like Terms
Equipment needed: Calculator, pen
Guidance
1. Read each question carefully before you begin answering it.
2. Check your answers seem right.
3. Always show your workings
Video Tutorial
www.corbettmaths.com/contents
Video 9
Answers and Video Solutions
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1. Simplify y+y
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(1)
2. Circle the expression that is equal to y+y+y−y
4y 3 2y y2
(1)
3. Simplify 4c + 2c
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(1)
4. Simplify 8x − 2x + 4x
.........................
(1)
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5. (a) Simplify a+a+a
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(1)
(b) Simplify 4a + 3a − a
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(1)
(c) Simplify 4ac + 5ac
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(1)
(d) Simplify 4c − 6c
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(1)
(e) Simplify a2 + a2
.........................
(1)
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6. Simplify 6y − 5 + 2y
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(1)
7. (a) Simplify m+m+m+m
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(1)
(b) Simplify 8c + 2p − 2c + 4p
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(2)
8. Simplify 3x + 4 − x + 7
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(2)
9. Simplify 6a + 5w − 2a + w
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(2)
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10. Simplify 7x − 4y + 8x − y
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(2)
11. (a) Simplify 9y − 3y
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(1)
(b) Simplify 7y + 2w − 3y + 2w
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(2)
(c) Simplify 7y + 10 + 3y − 9
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(2)
12. Simplify 4x + 7y + x − 4y
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(2)
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13. Simplify 5x + y − 2x + y
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(2)
14. Simplify 3c − 10d − c + 4d
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(2)
15. Simplify 20x + 3y − 8y − 7x
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(2)
16. Simplify 8x − 6y + 3x − 3y
.........................
(2)
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17. (a) Simplify s+s+s+s−s
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(1)
(b) Simplify 5c − 3s + 3c + 7s
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(2)
(c) Simplify 8a + 3c − 5c + 3a
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(2)
(d) Simplify 3a + 2w − 5a − 9w
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(2)
(e) Simplify 3y 2 + 2w 2 + y 2 − w 2
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(2)
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18. (a) Simplify 2x + 2x
.........................
(1)
(b) Simplify 7w − 2w
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(1)
(c) Simplify 3m − m
.........................
(1)
(d) Simplify y2 + y2 + y2
.........................
(1)
(e) Simplify 7h + 5k + h − 3k
.........................
(2)
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19. Troy is simplifying x3 + x3
He says the answer is 2x 6
Explain why Troy is wrong.
……………………………………………………………………………………………
……………………………………………………………………………………………
(1)
20. Shown is a pentagon.
Find an expression, in terms of x and y, for the perimeter of the pentagon.
.........................
(2)
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21. Shown is a equilateral triangle.
The length of each side is 2x + y
Find an expression, in terms of x and y, for the perimeter of the triangle.
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(2)
22. Shown is a rectangle.
Find an expression, in terms of x, for the perimeter of the rectangle.
.........................
(2)
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23. Simplify fully 2x 2 + 3x − 1 − x 2 + 2x − 5
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(2)
24. Below is a parallelogram and an isosceles triangle.
Which shape has the greatest perimeter?
Show your working.
.........................
(3)
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25.
Find an expression, in terms of x, for the perimeter of this L shape.
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(3)
26. Here is an equilateral triangle and a regular pentagon.
The perimeter of the two shapes are equal.
Find an expression for the length of each side of the regular pentagon.
.........................
(4)
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27. Expand and simplify 3(x + 6) + 8
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(2)
28. Simplify fully 9(y − 2) + 4y + 3
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(2)
29. Expand and simplify 5(x + 3y) + 2(2x − y)
.........................
(3)
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30. Expand and simplify 3(4x − 1) − 2(x + 4)
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(3)
31. Expand and simplify 3(4x + 8) − (7x − 2)
.........................
(2)
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