Solving Multi-Step Equations One Step at a Time !!!!!

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Example 2 4 m 8 m 5m 12 m x y.

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Presentation transcript:

Solving Multi-Step Equations One Step at a Time !!!!!

First, let’s look back at some skills from the last two units that will help us solve these equations. Distributive Property Combining Like Terms Solving One and Two Step Equations.

Distributive Property Simplify each expression using the distributive property. 5(m+6) 5m + 30

Distributive Property Simplify each expression using the distributive property. 8(k-3) 8k - 24

Distributive Property Simplify each expression using the distributive property. -3(2w-9) -6w + 27

Distributive Property Simplify each expression using the distributive property. Try These!!! a) 2(c - 10) b) -4(3a - 8) c) 5(p +12) 2c a p + 60

Combining Like Terms Simplify the expressions by using the commutative and associative properties to group like terms together. 5x x +10 (5x+12x) 17x (8+10) 18 17x+18

Combining Like Terms Simplify the expressions by using the commutative and associative properties to group like terms together. 10m + 8 – 6m +3 (10m-6m) 4m (8+3) 11 4m+11

Combining Like Terms Simplify the expressions by using the commutative and associative properties to group like terms together. -7p – 3 +2p – 12 (-7p+2p) -5p ( ) p – 15

Putting the Two Skills Together Use the distributive property and then combine like terms. 8(-4h+2) +7h -32h+7h (-32h + 7h) h +16

Putting the Two Skills Together Use the distributive property and then combine like terms. -2(-3d + 4) +7(d + 3) 6d (6d+7d) - 8 (-8+21) 13d +13 7d +21

Putting the Two Skills Together Use the distributive property and then combine like terms. 4(-2y - 8) - 7(y + 10) -8y (-8y-7y) - 32 (-32-70) -15y y -70

Solving Multi-Step Equations Use the Distributive Property Combine Like Terms Isolate the Variable using Inverse Operations.

Solving Multi-Step Equations 5(x+2)=-35 Distributive Property Use Inverse Operations Simplify Use Inverse Operations Simplify 5x + 10 = -35 5x = x= x=-9

Solving Multi-Step Equations -2(m+3)-5m=-34 Distributive Property Combine Like Terms Use Inverse Operations Simplify Use Inverse Operations Simplify -2m - 6 – 5m = m - 6= m= m=4 -7m- 6 +6=