Grade DE Simplify Like Terms Simplify algebraic expressions

Grade D/E Simplify Like Terms Simplify algebraic expressions by collecting like terms (adding and subtracting) If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key Vocabulary Like terms Algebraic Simplify

How to simplify/collect like terms 1) a + a + a 2) b + c + b 3) 2 m + 4 p + 5 m + 3 p 4) 4 x + 3 y – 3 x + 4 y

How to simplify/collect like terms 1 a 2 a 3 a 4 a 1) a + a + a 1 b 2 b 1 c 2 c = 4 a (not a 4) 3 b = 3 b + 2 c 2) b + c + b 2 m 7 m 4 p 7 p 3) 2 m + 4 p + 5 m + 3 p = 7 m + 7 p 4 x 1 x 4) 4 x + 3 y – 3 x + 4 y 3 y 4 y = x + 7 y

Simplify – now you try. . . a)10 a + 4 a b)2 b + 7 b c)3 a + 4 a d)11 b – 4 b e)14 b – 5 b + 4 b f)3 a – 6 a + a

Simplify – now you try. . . a)10 a + 4 a = 14 a b)2 b + 7 b = 9 b c)3 a + 4 a =8 a d)11 b – 4 b = 7 b e)14 b – 5 b + 4 b = 13 b f)3 a – 6 a + a = -2 a

More Practice Collecting like terms 1. Simplify: a)10 a + 4 b –a +5 b b)8 a + 5 a +5 b – 3 b c)12 b – 7 a + 3 b +a d)2 b – 8 b –a + 9 a e)-13 b + 4 a -5 b -4 a f)11 a + 8 b + 2 c + 6 a + 3 b -2 c g)6 b + 4 b –a +6 c + 5 a – 4 c h)7 c + 4 b- 3 b + a + 10 c – 5 a i) 10 a + 4 b + 7 a + 10 b – 17 a – 14 b j) 5 b + 4 c + 18 c – 22 a + z

More Practice Collecting like terms 1. Simplify: a)10 a + 4 b –a +5 b = 9 a + 9 b b)8 a + 5 a +5 b – 3 b = 13 a +2 b c)12 b – 7 a + 3 b +a = -6 a + 15 b d)2 b – 8 b –a + 9 a = 8 a -6 b e)-13 b + 4 a -5 b -4 a = -18 b f)11 a + 8 b + 2 c + 6 a + 3 b -2 c = 17 a + 11 b g)6 b + 4 b –a +6 c + 5 a – 4 c = 4 a +10 b +2 c h)7 c + 4 b- 3 b + a + 10 c – 5 a = -4 a + b +17 c i) 10 a + 4 b + 7 a + 10 b – 17 a – 14 b = 0 j) 5 b + 4 c + 18 c – 22 a + z = -22 a + 5 b +22 c + z

Problem Solving and Reasoning Here is an isosceles triangle Find an expression for the perimeter of the triangle 5 x - 2 22 – 4 x

Problem Solving and Reasoning Here is an isosceles triangle Find an expression for the perimeter of the triangle 5 x - 2 5 x – 2 + 22 – 4 x = 10 x – 4 + 22 - 4 x = 6 x + 18 22 – 4 x

Reason and explain What is the difference between 4 x and x 4 ? Can you write an expression that will simply to 6 x – 4 y? Are there any more? What do you look for when you simplify an expression? What is important? Spot the mistake: 3 x + y – x + 2 y = 3 + 3 y