Unit 4 Quiz Review
Chapter 6
Lessons 1-5
6-4
• Solving 2-step equations
STEPS:
1. Upside down T
2. Add or subtract on both sides
3. Upside down T
4. Multiply or divide on both sides
5. Answer: variable = #
6. Check answer back in original equation
• Exs—Solve and check.
1.)
𝑥
4
̶ 6 = -14
2.) -
1
𝑏
7
+ 5 = -2
• Writing 2-step equations from word problems:
– Variable is going to be multiplied or divided by
something
– Something is going to be added or subtracted
– Total amount or ending amount goes after = sign
*Use key words in problem to set up equation
correctly!
• Exs—Write an equation and solve.
You have saved $410 to buy a CD player and
some CDs. If the player you want costs $275
and the CDs cost $15 each, how many CDs can
you buy?
• Exs—Write an equation and solve.
Membership at the Healthy You Gym is a $40
initial fee and $5 a visit. If Sanjaya’s bill was
$105, how many times had he visited the gym?
6-3
• If the coefficient is a decimal, divide each side
by the decimal
• If the coefficient is a fraction, multiply both
sides by the reciprocal
• Exs: Solve and check.
1.) -2.5b = 20.5
2.)
2
x
3
=
6
15
6-2
• Multiplication and Division Equations
STEPS:
1.) Upside down T
2.) Do the opposite of what is happening to the
variable on both sides
3.) Answer: variable = #
4.) Check answer into original equation
6-1
• Addition and Subtraction Equations
SAME STEPS!
GOAL= GET VARIABLE ALONE!
• One-step equation word problems:
• Look for key words to know what operation to
use!
• Variable should not be alone in original
equation!
• Exs: Write an equation and solve.
Each student needs 12 minutes to give a report.
A class period is 48 minutes long. Write and
solve an equation to determine the number of
students who could give a report in one class
period.
• Exs: Write an equation and solve.
You went to the mall and bought a sweater, a pair
of shoes, and a backpack for your sister. Your sister
told you she would pay you if you told her how
much the backpack was. You weren’t sure about
the price of the backpack, but you did know that
the sweater was $35 and the pair of shoes was $72.
If the total cost was $133, how much was the
backpack?
• Exs: Solve and check.
1.) -4y = -60
2.)
𝑥
−9
= -9
• Exs: Solve and check.
1.) -12 = c + 5
2.) a ̶ 6 = -7