8th grade math review

Factoring

100

Factor x²-4x

x(x-4)

200

x²+3x+2

(x+2)(x+1)

300

x²-5x+6

(x-3)(x-2)

400

4x²+8x-12

4(x+3)(x-1)

500

-3x²+6x-3

-3(x-1)(x-1)

Y and X intercept from equations

100

What is the x-intercept of this equation?

y=x+5

X-intercept is at x=-5

200

What is the y-intercept of this equation?

y=3x+2

Y-intercept at y=2

300

What are the x and y-intercepts of this equation?

y=6x-3

X-intercept at x=2 and y-intercept at y=-3

400

What are the x-intercept(s) of this equation? (Hint: use factoring to find where y=0)

y=x²+2x-8

X-intercepts at x=-4 and x=2

500

What are the x-intercept(s) of this equation?

y=3x²+3x-6

X-intercepts at x=1 and x=-2

Identifying types of functions

100

What type of function is this?

(Draw on whiteboard)

Linear

200

What type of function is this?

y=x²-5x+4

Quadratic 

300

What type of function is this?

y=-4x+9

Linear

400

What type of function is this?

(Draw on whiteboard)

Exponential

500

What type of function is this?

y=5^x-6

Exponential

Exponential growth/decay (and percentages)

100

What is 27% of 30?

8.1

200

Answer both questions:

1. What is 79 increased by 68%?

2. What is 79 decreased by 68%?

1. 132.72

2. 26.86

300

Given the equation of the value of a basketball, 28(0.86)^x, what is the initial price of the basketball?

The initial price of the basketball is $28

400

Bob puts $5,500 into a bank account; this bank has an annual interest rate of 1%. Assuming Bob doesn’t take or put any money into the account, how much money would he have after 3 years?

Bob will have $5,666.66

500

Bob’s favorite car loses value by 3% every year. If Bob got the car in 2017 at its initial value of $1300, how much is the car worth today (in 2024)?

Bob's car will be worth $1,050.38

Random

100

What is the y-intercept of this equation?

y=-5x+8-4

Y-intercept at y=4

200

Find the x-intercept(s) of these equations;

1. y=x²-5x

2. y=-4x+3

1. X-intercepts at x=0 and x=5

2. X-intercept at x=3/4

300

Distribute (unfactor) this equation;

y=(x-3)(x+5)

y=x²+2x-15

400

What are the three types of functions that you've been learning about?

Linear, quadratic and exponential

500

Bob’s pool loses value by 12% every 2 years. If Bob got his pool in 2020 at its initial value of $35,000, how much is the car worth today (in 2024)?

In 2024, Bob's pool would be worth $27,104