Download Practicing with Multi-Step Equations with Distributive property and

Solving Multi-Step Equations
Just remember to follow the steps
1. Distribute if you can
2. Collect all like terms to simplify
3. Isolate the variable using the opposite order of operations
4. Check your answer
Example # 1
1st Step: Distribute if you can
15 – 4 ( y + 3 ) = 19
15 - 4y - 12 = 19
3 - 4y
= 19
-3
-3
-4 y
= 16
-4
-4
y = -4
2nd Step: Collect like terms to simplify
3rd Step: Isolate the variable using the opposite
order of operations
4th step: Check your answer
15 – 4 ( y + 3 ) = 19
15 – 4 ( -4 + 3) = 19
15 + 16 – 12 = 19
31 – 12 = 19
19 = 19
Example # 2
¼ (12 x – 16) + x = 20
1st Step: Distribute if you can
2nd Step: Collect like terms to simplify
3rd Step: Isolate the variable using the opposite
order of operations
4th step: Check your answer
Example # 3
2( 4x + 3) – 5(2x – 1) = 27
1st Step: Distribute if you can
2nd Step: Collect like terms to simplify
3rd Step: Isolate the variable using the opposite
order of operations
4th step: Check your answer
The Distributive Property
Our Friend for Solving Equations
Also starring, his Wacky Sidekick,
Combining Like Terms
3(2x + 5) = 39
Answer: x = 4
- 4(8 + 5n) = 8
Answer: n = -2
6(3x - 5) - 7x = 25
Answer: x = 5
-2(5 + 6m) + 16 = -90
Answer: m = 8
18x - (8x - 7) = 67
Answer: x = 6
7w - 3(4w + 8) = 11
Answer w = -7
Solving Multi-Step Equations with
Distributive Property & Collecting
Like Terms
Write and solve an equation to find the
missing length, a, if the length of the
two line segments combined is 36 cm.
2a cm
4a cm
Write and solve an equation to find the
missing length, a, if the length of the
two line segments combined is 36 cm.
2a cm
4a cm
1st Step: Collect like terms to simplify
2a + 4a = 36
6a = 36
6
6
a = 6
2nd Step: Isolate the variable using the opposite order of
operations
3rd step: Check your answer
2(6) + 4(6) = 36
12+ 24
36
= 36
Six friends go to the movies. Movie tickets are
$5 and treats are $2 each. If all 6 friends
bought the same number of treats, how many
did each person buy if the total spent by all
was $54?
6(5 + 2x) = 54
30 + 12x = 54
-30
-30
12x = 24
12 12
x = 2
1st Step: Distribute if you can
2nd Step: Collect like terms to simplify
3rd Step: Isolate the variable using the opposite order
of operations
4th step: Check your answer
6 ( 5 + 2x ) = 54
6 ( 5 + 2*2)
6 ( 5 + 4)
6(9)
54 = 54