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M7A2 Linear Equations Study Guide
Know how to solve 2-step equations involving addition, subtraction, multiplication & division. (review
your notes that show step by step how to work the problems)
Always solve the addition and subtraction part of the equation first, then solve the multiplication or
division part next.
Put your answer back in the equation to check your work!!
1. Solve for f.
3f + 12 = 84
3f + 12 = 84
- 12 -12
3f
= 72
then divide 3 on both sides
f = 24
2. Solve for c.
2(c – 5) = -50
2c – 10 = -50
2c – 10 = -50
+ 10 = +10
2c
= -40
Then do 2c = -40
2
2
3. Solve for b.
2b + 3 – b = -12
4. Solve for n.
n
-5
- 5 = -10
+5
+5
= -5
n
-5
times(-5) on both sides
n
= 25
b + 3 = -12
-3 -3
b
= -15
c = -20
 Graph the following equation on a coordinate plane: y = 2x+ 1
 Matching the equation to the graph:
y = 3x – 1
There are two points on the line: (1, 2) & (-1, -4)
Then you have to test these points to see if they are on the line of y = 3x – 1.
First, substitute x with 1; y with 2 to see if the equation will be true: 2 = 3(1) – 1
Do the same to test another point: substitute x with -1; y with 4 to see if the equation will be true.
-4 = 3(-1) – 1, so -4 = -4. Since both ordered pairs work in the equation, the graph matches this
equation.
Graphing:
1. Make sure you know that the independent variable (the one you cannot control) always goes on the
x-axis and the dependent variable (the one that is dependent on other factors) goes on the y-axis. (see
your notes) Time is always independent (x-axis).
2. Know how to graph data and read the graph to tell what is going on. (see the “Walk on the Beach”
activity)