Name ______Date ______Block ______
Unit 2 Expressions and Equations Study guide
1) The number of people who typically show up for a football game is represented by the expression (15x + 21). If there are going to be 6 football games this year, write an expression to show how many people will show up to all six football games.
2)Mrs. Tolbert has (3x + 7) dollars to spend on the 7th grade dance. If she spends (x – 5) on food, how much money would she have to spend on music?
3)What property states that a + (b + c) is equivalent to (a + b) + c?
4)Dana wrote the expression
19x + (y + 3x) as 19x + (3x + y). What property did she use and why would she rearrange them this way?
5)Melanie is solving the following mathematical sentence: 1.5x – 12 = 0. Write an equivalent number sentence.
6)Find the average temperature: 4°; -5°; 3°; -12°; 2°; 1°; -3°
7)Two more than four added to a number is twelve. Find the number.
8) A sailboat rental company charges a $50 deposit and $25 per hour to rent a sailboat. Mason has $150. Write an inequality that represents the maximum number of hours that Mason can rent the sailboat.
9)Write the solution set for the following inequality.
-3.5x –8.3 < 12.2
10)Graph the solution set for the following inequalities
-2 < x ≤ 5-4> x ≥ -15
11) Jessie bought five shirts that cost (7 + 6x). Write two different expressions that will show how much Jessie spent.
12)Write and simplify an expression that adds the measure of angle ABD to angle DBC in the figure below.
13) According to the distributive property, what is the equivalent expression to - p(w +s).
14)If my daughter’s music teacher charges $150 for an annual fee and $30 per lesson. Write an expression that represents how much I will have to pay if she attends x lessons this year.
15)Rusty will purchase a car that costs x dollars. The car will be taxed at 7%.
Write an expression that represents the amount of tax Rusty must pay.
Write an expression that represents the total amount that Rusty must pay for the car including tax.
16) Kara currently pays $20 per hour for her electrician. If Emma pays 15% more than Kara, how much more will Emma pay for a 4 hour job than Kara?
17)Kim wants to buy a new bike. The one she wants costs $425. Her parents gave her $50 toward her goal. If she saves $25 per month, how many months will it take her to save enough money to buy the bike? Show two wants to solve the problem.
18)Linda has $200 to spend on movies for her son. If each movie costs $15.50, write an inequality to show how many movies Linda can buy.
19)Solve the following inequalities and graph the solution sets:
3x – 10 < 20-6x + 3 -33