8CC Unit 1 Review - Equations

1.1 - Solving One and Two Step Equations

100

p − 4 = 27

p = 31

200

−4m = 84

m = -21

300

2/3b = 10

b = 15

400

DOUBLE POINTS

-18 = x/3 + 2

x = -60

500

A delivery service charges a flat rate of $4.25 per box plus an additional amount per pound. Carl mailed a four-pound package at a cost of $10.65. How much did Carl have to pay per ounce?

$1.60 per pound

1.2 - Solving Multi-Step Equations

100

9x + 5(x + 4) = 34

x = 1

200

DOUBLE POINTS

7x − 9 = −4x + 90

x = 9

300

3(2x − 5) = 2x + 1

x = 4

400

x − 1/3 = 3x + 2/3     Leave answer as a fraction

x = -1/2

500

Ty has two job offers at a gym. One has a base monthly salary of $1200 and an additional $50 commission per new client he gets to join the gym. The other offer does not have a base salary but he gets $100 for every new client who joins the gym. How many clients would Ty need for both job offers to equal the same.

24 clients

1.3 - Number of Solutions

100

DOUBLE POINTS

Write an equation that has no solution.

Answers vary. Must have same coefficient and different constants to be no solution

200

Determine the number of solutions. Provide evidence!

10 + 6x − 3 = 2x + 7 + 4x

7 = 7, infinitely many solutions

300

Tara and Alice joined the same movie club. Tara said her monthly fee is represented by the expression 2x + 8. Alice said her monthly fee is represented by the expression 2(x + 4). In both expressions, x is the number of movies rented in a month. Who got the better deal? Explain how you know.

They both got the same deal; 2x + 8 = 2(x + 4)

400

4(x − 2) + 1 = −7

x = 0, one solution

500

Solve for x and determine the number of solutions

4(x−1)−2x=−1+2/3(6x+9)

one solution, x = -4.5

1.4 Square Roots and Cube Roots (No Calculator)

100

NO CALCULATOR

What is the square root of 121?

11

200

NO CALCULATOR

What is the cubed root of 125?

5

300

DOUBLE POINTS

NO CALCULATOR

A square has an area of 64 square meters.

a. Find the length of one side of the square.

one side - 8 meters 

400

NO CALCULATOR

What two positive integers is the square root of 95 between?

9 and 10

500

NO CALCULATOR

The cubed root of 79 is in between what two integers?

4 and 5

1.5/1.6 - Solving Equations with Square and Cube Roots

100

Solve for x

x ³ − 1 = 342

x = 7

200

DOUBLE POINTS

Solve for x

5x² − 30.5 = 149.5

x = 6 and -6

300

Solve for x. Round to the nearest tenth.

2 − 3x² = −103

x = 5.9 and -5.9

400

Solve for x. Write answer as a square root in simplest form (no decimal!)

x² − 7 = 17

positive and negative 2 SQUARE ROOT 6

500

Solve for x. Write the answer as a cubed root in simplest form (NO DECIMAL!)

x³ + x³ + x³ = 2058

7 CUBED ROOT 2