Download Chapter 2 TEST study guide

Chapter 2 TEST
Study Guide
Scheduled for Tuesday, October 4th (tentatively—could be
pushed back)
-Solve Equations with Rational Numbers (Lesson 1 pgs 111-117)
-Solve Two Step Equations (Lesson 2 pgs 121-128)
- Writing Two Step Equations from Word Problems (Lesson 3 pgs 129 – 136)
-Problem Solving- Working Backwards (pg 137-140)
-Solving Equations with Variables on Each side (Lesson 4 pgs 145-152)
-***NEW*** Multi-Step Equations (Lesson 5 pgs 153-160)
Solving Equations with Rational Numbers
Solving Two-Step Equations
Writing Two Step Equations from Word
Problems
Example #1Amy needs to rent a car for 4 days. She also decides to purchase new windshield
wipers for $16.99. If her bill at the Auto Rental Company comes to $366.99, how
much is her rental car per day?
Step 1: YOU NEED A “LET STATEMENT” in order to define your variable. We
are trying to figure out the price of the rental car per day.
Let x= amount of car per day
Step 2: Amy rented the car for 4 days so 4 times x would represent the price of
the rental.
Step 3: She ADDED $16.99 to her total bill so we need to include + 16.99
Step 4: Write an equation  4x + 16.99 = 366.99 (her total)
Step 5: Solve the equation using opposite operations on BOTH sides of =
4x + 16.99 = 366.99 (undo addition first)
-16.99
-16.99
4x = 350
Example #2-
4x = 350
4
4
x = 87.5
Each question on Sheila’s math test was worth 5 points. There were also 4 bonus
questions worth 1 point each. If Sheila earned a 98 out of 100 points on her test,
including 3 bonus points, how many problems did she answer correctly?
Step 1:
Step 2:
Let x= number of correct problems
Each correct problem was 5 points, so 5 times x represents points
earned. 5x
Step 3: 3 bonus points were added on to her score +3 and the total points were
90
Step 4: 5x + 3 = 98
Step 5:
5x + 3 = 98 (undo addition first)
-3 -3
5x = 95
5x = 95
5
5
x = 19 Sheila answered 19 problems correctly.
Solving Equations with Variables on Each Side
Example #1
9g – 14 = 2g
Step 1: Subtract the smaller coefficient(# next to variable) from both sides.
9g – 14 = 2g
-2g
-2g
Step 2: Solve the Equation
7g – 14 = 0
7g – 14 = 0
+14 +14
7g = 14
7 7
g = 2
Example #2
8y – 3 = 6y +17
8y – 3 = 6y +17
-6y
-6y
2y – 3 = 17
2y – 3 = 17
+3 +3
2y = 20
2 2
y = 10
Multi-Step Equations
Example #1
Example #2
Example #3
See Attached Reteach Practice Worksheets
Complete for bonus points on test!
See Ms. Molinari or Ms. Kolator before/after school for extra help and
review.
Good Luck!
Lesson 1 Skills Practice
Solve Equations with Rational Coefficients
Solve each equation. Check your work.
1.
2.
Lesson 2 Skills Practice
Solve Two-Step Equations
Solve each equation. Check your solution.
1. 3n + 4 = 7
2. 9 = 2s + 1
3. 9a – 2 = –2
4. –8 + 4s = –16
Write Two-Step Equations
Translate each sentence into an equation.
1. Four more than twice a number is 8.
2. Three more than four times a number is 15.
Lesson 4 Skills Practice
Solve Equations with Variables on Each Side
Solve each equation. Check your solution.
1. 3w + 6 = 4w
2. 9k + 6 = 8k + 13
Lesson 5 Skills Practice
Solve Multi-Step Equations
Solve each equation. Check your solution.
1. 6(m - 2) = 12
2. 7p – (3p + 4) = -2(2p – 1) + 10