Warm ups - simplify
3(x - 4) + 5x +10
8x + 7(2y - 3) - 3x
5+ 2( y + 3) - 7 y +1
5(2x - 4) - 3(x +1)
Math Binder
1.
2.
3.
4.
5.
Current Notes
Old Notes
Homework
Review Sheets
Quizzes/Tests
3-3 Solving Multistep
Equations
Objective: To solve
equations using add., subt.,
mult., and division.
Examples 1 – 3 (watch & listen)
5n + 6 = -4
-6 -6
5n = -10
5
5
n = -2
17 = 7y + 87
y
9  6
5
-9
-9
y
(5)
 3 (5)
5
y  15
Examples 4 – 6 (do with me)
0.6n  1.5  1.8
d-4
=3
2
x
48
3
Example 7 – 9 (with a partner)
3 y 1  8
d 1
 6
3
54  3 x  30 x
TOO (Try on your own)
p
5  9 
4
m
 6  31
5
Solve.
3( x  1)  5  3x  2
5  2( x  3)  7 x  1
Recap with a partner…
1)
2)
Explain to your partner how to solve a multi-step
equation.
Explain how to solve the following equation:
3
a  8  11
2
Homework
Pg. 160 # 17 – 33 odd
Check your answers in the back of the book.
Math Lab



Review today’s lesson
Homework
Please finish worksheets from last week:


Why did the ant run across the cracker box?
What did the Spanish Farmer say to his chicken?
Objective
The student will be able to:
solve two-step equations.
Designed by Skip Tyler, Varina High School
To solve two-step equations, undo the
operations by working backwards.
x
Example:
 3  7
2
Ask yourself,
1. What is the first thing
we are doing to x?
2. What is the second
thing?
Recall the order of
operations as you
answer these questions.
• Dividing by 2
• Subtracting 3
To undo these steps, do the opposite operations in opposite order.
1) Solve 2x - 1 = -3
1.
2.
3.
4.
5.
6.
Draw “the river”
Add 1 to both
sides
Simplify
Divide both sides
by 2
Simplify
Check your
answer
+1 +1
2x = -2
2
2
x = -1
2(-1) - 1 = -3
-2 – 1 = -3
x
2) Solve
48
3
1.
2.
3.
4.
5.
6.
Draw “the river”
Add 4 to both
sides
Simplify
Clear the fraction
-Multiply both
sides by 3
Simplify
Check your
answer
+4 +4
x
3 ·  12 · 3
3
x = 36
36
48
3
12 – 4 = 8
Try these on your own...
x=3
7
4w = 16
y=8
-2
2x = 12
3
-2z = -12
3x = 9
-4
The answers...
x = 21
w=4
y = -16
x = 18
z=6
x = -12