Topics:
 All Topics from Units 1 through 5

Writing Equations (pg.629-632)


Solving Equations + and - (pg. 636-644)
Solving Equations × and ÷ (pg. 646-650)
 Graphing Equations with Tables (see below)

Writing and Graphing Inequalities (pg. 651-652)

Solving Inequalities (pg. 651-652)

Real world problems with equations and inequalities (see below)
*To study, you should complete odd numbered problems from the pages above so that you can check if you got the correct answer or not in the back of the textbook. Selected answers begin on Pg. SA1.
Vocabulary:

All vocab from Unit 1 - 5

Inverse Operation


Dependent Variable
Independent Variable

Inequality
Writing Equations: Write TWO Let Statements for each variable, then write an equation for the following situations. DO NOT SOLVE.
1) Henry is earning money by mowing people’s lawns. He earns $15 for each lawn. Write an equation for the total amount of money he makes.
2) Mr. Jones starts with $50 in his bank account. Each week, he pays $7 to the kid who walks his dog.
Write an equation for the amount of money left in his bank account.
3) Prizes are being distributed to each of the 16 math classes. If each class receives n prizes, write an equation for the total number of prizes.
Solving Equations with Addition and Subtraction: Solve using the inverse operation. Show your work.
4) 𝑎 − 5 2
7
= 1 1
21
5) 71 = 𝑥 + 49 6) 𝑛 + 9 = 10.6
7) 𝑝 − 34 = 62
Solving Equations with Multiplication and Division: Solve using the inverse operation. Show your work.
8) u
23
= 17 9) 2.5h = 50 10) 6.7 = y
31
11) 45 = 9r
Graphing Equations with Tables:
12) Joe is at the arcade. He has 90 tokens to use.
If each game costs 2 tokens, write an equation to represent the number of tokens he has left. Write two Let Statements and determine which variable is the independent variable and which is the dependent variable.
Make a table and graph the solution.
Let Statements: x=_____________ y=____________
Equation: _______________________
# of games 0 1 2 3 4 5 6 tokens

13) A taxi cab service charges a flat fee of $8 plus an additional $1.50 per mile. Create an equation for the total cost of the cab ride.
Write Let Statements and determine which variable is the independent variable and which is the dependent variable. Make a table and graph the solution.
Let Statements: x=_____________ y=____________
Equation: _______________________
# of miles 0 1 2 3 4 5 6 cost
Writing, Solving, and Graphing Inequalities: Write an inequality to represent each situation. Solve the inequality, and graph the result on the number line provided.
14) 16 is greater than a number.
15) Twice a number is less than or equal to 15.
16) 5 less than a number is at least 1.
17) A number increased by 3 is smaller than 20.
Real world problems with equations and inequalities:
18) In order to go on vacation, Ms. Bosworth needs to save more than $650. She currently has $200. Write an inequality to represent how much money she needs to save. Define any variables. Graph the solution on a number line.
Let Statement: x=_________________
Equation: _______________________
19) Mr. Lampa is going to the boardwalk. He can spend no more than $36 on rides. If each ride costs $3, write an inequality to represent how much money he spends. Define any variables. Graph the solution on a number line.
Let Statement: x=_________________
Equation: _______________________