Solving Algebraic Equations ANNE GILLERAN This Photo by
Solving Algebraic Equations ANNE GILLERAN This Photo by Unknown Author is licensed under CC BY-NC-SA This Photo by Unknown Author is licensed under CC BY-SA
• When we are trying to solve an equation, we are trying to get the Letter on its own on the Left • To get a letter on its own, use the opposite operation (inverse) to undo what is happening!! • What is the inverse operation to: Add Subtract Multiply Divide
7 x This Photo by Unknown Author is licensed under CC BY-SA = 28
7 = x ÷ 7 28 ÷ 7
x = 4
LO: To solve algebraic equations The balancing method. a+2 = 8
LO: To solve algebraic equations The balancing method. = a+2 -2 8 -2
a = 6
Examples: x + 5 = 13 x– 4 = 8 6 c = 18 y/3 = 21
Now you try! Odd one out! Find the number which is not equal to one of the unknowns!! a b c d e f g h a+3=8 6–a=2 5 a = 10 a+6=3 -3 a = 3 a/2 = -4 9–a=6 180/a = 30 5 6 2 -8 -3 4 3 -1 1
Two operations! 2 x + 3 = 13
= 2 x + 3 -3 13 -3
2 x = 10
= 2 x ÷ 2 10 ÷ 2
x = 5
Examples: 4 x + 1 = 13 7 x – 5 = 44
Two LO: To solve algebraic equations operations! Solve the following: (a) 2 a + 5 = 13 a = 4 (b) 3 b – 4 = 17 (c) 2 c + 6 = 16 c = 5 (d) 5 d – 2 = 8 (e) 3 r + 7 = 31 r = 8 (f) 8 p + 1 = 25 (g) 10 n – 7 = 33 n = 4 (h) 3 n – 5 = 19 (i) 3 y – 4 = 11 y = 5 (j) 5 z + 13 = 18 e = -1 (k) 11 + 4 e = 7 (L) 1 – 2 f = 9 g=6 (m) 13 = 3 g - 5 (n) 5 = 1 + 8 h k = 8(q) 13 = 12 + m (p) 3 + k = 7 2 3 a = 20 (s) 10 = 2 - b (r) a – 3 = 7 2 3 b=7 d=2 p=3 n=8 z=1 f = -4 h = 0. 5 m=3 b = -24
LO: To solve algebraic equations Now you try! Coach the person next to you to get as far as possible!
Make up your own algebraic equation for your partner to solve!!
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