Unit 6 Review

Solving 2 Step Equations

100

Solve:  

3n - 5 = 19

n = 8

200

Solve:

4x + 2 = 14

x = 3

300

Solve: 

9y + 10 = -8

y = -2

400

Solve: 

2a - 15 = -1

a = 7

500

Solve: 

1 - 10x = 81

x = -8

Solving Equations w/ Parentheses

200

Simplify the expression:

3x – (2x + 4) + 5

x + 1

300

Simplify the expression:

2(3 – x) – 12 + 4x

2x - 6

400

Simplify the expression:

5 - 7 - 10x + 12y - 7x + 15y - 3

-17x + 27y - 5

500

Simplify the expression:

4x² + 7x - 3x³ + 5 + 6x² - 9x - 12

-3x³ + 10x²  - 2x -7

Solving EquationsWord Problems

100

Solve the equation:

5x + 55 = 35

x = -4 

200

Solve the equation:

-5 = (x - 7)/9

x = -38

300

Solve the equation:

(2/3)x - 1 = (1/4)

x = 1.875

400

Solve the equation:

5(6 + 3x) + 7 = 127

x = 6

500

Solve for x.

-77 = -7(-x + 5) - 5(-x + 4)

x= -11/6

Inequality Word Problems

100

Patricia has $12 to spend at an arcade. The arcade charges $6 admission and $3 per hour to play as many games as she wants. What number of hours, x, Patricia can play games without spending more than $12? 

less than or equal to 2 hours

200

Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29.

Write and solve an inequality where x is the number of songs Lin wants to buy.

9.99+ 1.29x ≤ 50

x  ≤ 31.0155

31 songs or less

300

Julie has $200 to plan a dance. There is a one-time fee of $150 to reserve a room. It also costs $1.50 per person for food and drinks. What is the maximum number of people that can come to the dance?

33 people

400

The entry fee for a charity event is $15 per pair of people. The fee can be paid in cash or by collecting and turning in soda can tabs. Every 10 tabs collected earns $0.01. Brian and Eva are collecting tabs to pay their entry fee. So far, Eva has collected 7,100 tabs and Brian has collected 1,300 tabs. What is the least number of tabs they must still collect in order to have enough to pay the entry fee?

6,600 tabs

500

Ohio Skate charges a flat fee of $60 for skating parties plus $6 per person. Matt can spend no more than $126 on his skating party. Which number line represents the number of people Matt can invite to his skating party without exceeding his spending limit?

no more than 11 people

Solving Inequalities

100

Solve the inequality.

3x + 2 ≤ 14

x ≤ 4

200

Solve the inequality.

-4x + 6 > 10

x < -1

300

–5(m + 1) ≤ 23

-5.6 ≤ m

400

(x/7) + 11 > 15

x > 28

500

Solve the inequality:

-3 - 6(4x + 6) > -111

x < 3