Download C. Solving Equations using Division

Name: _______________________________________________
Algebra 1
Date: _________________
3.1 Solving 1-Step Equations
A. Solving Equations using Subtraction
Solve: x + 7 = 4
Write original equation:
Subtract 7 from each side:
Simplify:
Check:
Substitute _____ for x in the original equation:
Simplify left hand side:
Solution Checks.
B. Solving Equations using Addition
Solve: x – 12 = 3
Write original equation:
Add 12 to both sides:
Simplify:
Check:
Substitute _____ for x in the original equation:
Simplify left hand side:
Solution Checks.
C. Solving Equations using Division
Solve: - 6x = 48
Write original equation:
Divide both sides by -6:
Check:
Substitute _____for x in the original equation:
Simplify left hand side:
Simplify:
Solution Checks.
GUIDED PRACTICE for A - C:
1. y+ 7 = 10
2. x – 5 = 3
3.
q – 11 = -5
Check:
Check:
Check:
4. 6 = t – 2
5. 4x = 48
6. -65 = -5y
Check:
Check:
Check:
7. 6w = -54
Check:
8. 24 = -8n
Check:
D. Solving Equations using Multiplication
Solve:
x
5
4
Check:
Write original equation:
Substitute _____ for x in the original equation:
Multiply both sides by 4:
Simplify left hand side:
Simplify:
Solution Checks.
E. Solving Equations using Reciprocals to Multiply
Solve:
3
p  15
4
Check:
GUIDED PRACTICE for D- E:
1.
t
9
3
Check:
2.
6
c
7
Check:
3.
13 
z
2
Check:
4.
a
 11
5
Check:
7.
5
w  10
6
Check:
5.
2
x4
7
Check:
Check:
2
p  14
3
Check:
9
8.
6.
3
m
4
8 
9.
Check:
4
v
5
F. Write and Solve an Equation for a Word Problem
In the 2004 Olympics, Shawn Crawford won the 200 meter dash. His winning time was 19.79 seconds. Find his
average speed to the nearest tenth of a meter per second.
Step 1: Let r represent Crawford's speed in meters per second. Write a verbal model. Then write and solve an equation.
Step 2: Substitute in the known information
Step 3: Solve for r
Answer: Crawford's average speed was about _____meters per second.
WHAT IF? Suppose Shawn Crawford ran 100 meters at the same average speed he ran the 200 meters. How long
would it take him to run 100 meters ? Round your answer to nearest tenth of a second.