Download Chapter 3: Solving Equations

Chapter 3: Solving Equations
3.1
Solving Two-Step Equations
Solving equations with algebra tiles
• 3x – 2 = 4
model the equation
Example 1
• Solve and justify each step:
m
10   2
4
Example 1a
• Solve the equation and justify each step:
7  2y 3
Example 1b
• Solve the equation and justify each step:
x
 15  12
9
Example 1c
• Solve the equation and justify each step:
 x  15  12
Example 2
• A music store sells a copy of a deluxe electric guitar
for $295. This is $30 more than 1/3 the cost of the
deluxe electric guitar it is modeled after. What is
the cost of the deluxe electric guitar?
Example 2a
• Suppose your high school’s baseball team scored 5
runs in Saturday’s game. This was four more than ½
the runs scored by the opposing team. How many
runs did the opposing team score?
Example 3
• In a catalog, tulips cost $0.75 each and shipping
costs are $3.00. Write a rule that describes the
amount spent as a function of the number of bulbs
ordered. Then determine the greatest number of
bulbs that you can order for $14.
Example 3b
• Mrs. Simmons works at a furniture store. Her base
salary is $125 a week plus 1/12 of her sales. Write a
rule that describes her total weekly salary as a
function of her sales. Then find the amount of her
sales if her total weekly salary is $255.
Example 4
• Solve and justify each step:
k
1 5
12
Example 4a
• Solve and justify each step:
 9  4m  3
Homework
• P. 122
• 4, 8, 12, 16, 20, 22, 24, 28, 32, 36, 40, 48, 54
• ALL equations must have steps justified!!