1. Do Now: Write the question and answer.
Draw a number line to solve
Find the GCF of 16, 40 and 42.
Find the LCM of 16, 40 and 42.
Solve x - 7 =1. 4

2. Multi-step equations are solved by using two or more steps.
Combining Like Terms -
Add or subtract the coefficient.
1) 2m + 3m = 25
2) = 6x + 3x
5m = 25
-27 = 9x
m = 5
-3 = x
Combining Like Terms

3. Combining Like Terms
3) 7y + 2y + y = 40
4) 6w - 2w = - 20
4w= -20
10y = 40
w = -5
y= 4
Combining Like Terms

4. Practice – Solve the equation.
5) 8t + 5t - t = 60
6) 54 = 5y + 4y
7) 3w + 4w = 12
Combining Like Terms

5. Practice – Solve the equation. 8) 7 + 3m + 2m = 22
9) = 5x x
Combining Like Terms

6. Practice – Solve the equation. 12) 82 = 3x+ x +5x + 1
Combining Like Terms

7. When an equation involves parentheses, you can use the distributive property before you combine like terms.
1) 6n + 2(n-1) = 22
2) 5(7+ x) - 3x =43
6n +
2n - 2
=22
35 + 5x
– 3x = 43
8n – 2 = 22 35
+ 2x
= 43
-35
-35
8n = 24
2x = 8
x = 4
n= 3
Distributive Property

8. When an equation involves parentheses, you can use the distributive property before you combine like terms.
3) 4(x+7) = 48
4) 9a + 5(3 – a) = 11
9a +
15 – 5a
=11
4x + 28
= 48 4a
+15
= 11
4x = 20 4a
= -4
x = 5
a = -1
Distributive Property

9. Practice – Solve each equation.
5) 10n + 3(n - 1) = -23
6) 2(3x + 5 ) + 8 =12
7) z + 3(5 – 2z ) = 25
Distributive Property

10. = 18 = -36 Solving an Equation with a Fraction 12 + 3a = 3 6 x 6 6x
y = - 4 9
x 9 9x
12 + 3a
= 18
= -36
y - 5
3a = 6
y = -31
a = 2
Equations with a Fraction

11. = 20 = 12 Solving an Equation with a Fraction 3) 6 - 2b = 5 4 4 x x 4
4) y = 2 6
x 6 6x
6 – 2b
= 20
3y - 6
= 12
-2b = 14
3y = 18
b = -7
y = 6
Equations with a Fraction