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Collecting Like Terms pdf3

This document contains a multi-part math worksheet on collecting like terms and simplifying algebraic expressions. It includes examples of combining like terms, expanding expressions, finding perimeters of shapes, and solving equations. The document provides the questions and a space for the student to show their work and write answers. It directs the student to an online video and additional resources for learning how to solve these types of problems.

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kareem9
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© © All Rights Reserved
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154 views2 pages

Collecting Like Terms pdf3

This document contains a multi-part math worksheet on collecting like terms and simplifying algebraic expressions. It includes examples of combining like terms, expanding expressions, finding perimeters of shapes, and solving equations. The document provides the questions and a space for the student to show their work and write answers. It directs the student to an online video and additional resources for learning how to solve these types of problems.

Uploaded by

kareem9
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Collecting Like Terms


Video 9 on www.corbettmaths.com

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Question 1: Simplify each of the following

(a) y + y + y + y (b) w + w + w + w + w (c) a + a + a + a + a + a (d) s + s + s

(e) n + n (f) g + g + g + g − g (g) y + y + y + y − y − y (h) p + p − p − p

(i) 3y + 2y (j) 4a + 3a (k) 9k + 5k (l) 7m + m

(m) 15c + 20c (n) 6w − 3w (o) 10y + 3y − 5y (p) 20t − 14t

(q) 7x − 3x − x (r) 8k − 8k (s) 7y − 2y + y (t) 5u − 4u

(u) y² + y² (v) a² + a² + a² (w) c² + c² + c² + c² + c² (x) 7y² + 3y²

(y) 2w² + 4w² + 8w² (z) 6y² − 2y² + 3y²

Question 2: Simplify the following expressions

(a) 4u − 6u (b) 8w − 9w (c) 4a + 2a − 9a (d) 2y − 9y

(e) −3g − 2g (f) −4f + 9f (g) −m − 7m (h) 5y² − 7y²

(i) 6a² + 2a² − 9a² (j) ab + ab + ab

Question 3: Simplify the following expressions

(a) 3a + 2b + 4a + b (b) 7y + 5y + 2h + 2h (c) g + 8a + 2a + g

(d) 7m + 7p + 8m + p + 2p (e) 9e + 2 + e + 2 (f) 4 + 3a + 2a + 8

(g) 2y + 4 + 3y − 1 (h) 8 + 3w − w − 3 (i) 5 − 4s − 2 + 10s

(j) 3x + 6y + 5x − 2y (k) 6m − 2s + 11s + m (l) 2a + 3b − 2 + a + 3b + 4

(m) 3a − 2b + a − 5b (n) 2x − 2y − 6x + 5y (o) y − 4m − 3y − 5m

(p) 7p − 2q − q + 3r + 4r (q) 11c + 8d − 6c − 11d

© CORBETTMATHS 2016
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Collecting Like Terms


Video 9 on www.corbettmaths.com

Question 4: Simplify the following

(a) 3y² + 4ab + 7y² + ab (b) 9x² − 2x − 11x² + 5x (c) 7ac − 3ab + 9ab − 7ac

Question 5: Expand and simplify the following

(a) 2(y + 3) + 3(y + 1) (b) 8(x + 2) + 3(x + 3) (c) 4(x − 1) + 2(x + 3)

(d) 5x + 3 + 2(x + 9) (e) 3(2y + 1) + 4(2y + 5) (f) 5(2x + 3) + 2(3x + 1)

(g) 7(c + 2) + 3(c − 2) (h) 5(2a + 7) + 2(9a − 4) (i) 9(t + 3) + 3(2t − 11)

(j) 2(x − 4) + 5(x − 2) (k) 6(y − 1) − 2(y + 3) (l) 8(x + 2) − 3(x − 2)

(m) 5(2y − 3) + 3(y − 2) (n) 2(4w − 5) − 2(w − 7) (o) 5(3y + 7) − 3(2y − 5)

Apply

Question 1: Write down the perimeter of each shape below

(a) (b) (c)

Question 2: A square has a side length of 3x.


Find an expression for the perimeter of the square.

Question 3: 6x + 7y + x − 8y = 7x − y
Write down three other expressions that are equal to 7x − y

Question 4: Find an expression for the perimeter of this shape

Answers
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© CORBETTMATHS 2016

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