8th Grade (Algebra)

Systems of Linear Equations

Inequalities

Slope

Exponential Functions

Polynomial Operations

100

Solve the following system of linear equations.

y=3x+4

y=-4x-3

(-1,1)

100

Solve for d.

4d < 32

d < 8

100

What is the slope of the linear equation written below?

y= 4x - 1

Slope: 4

100

Solve for f(3).

f(x)=2^x

f(3) = 8

100

Simplify the following polynomials:

(x⁶- 4x³ + 3x²- 14) + (8x³- 13x + 4)

x⁶ + 4x³ +3x²-13x -10

200

Solve the following system of linear equations.

y=5x-11

y=-x+7

(3,4)

200

Solve for x.

8x - 15 > 49

x > 8

200

What is the slope of a horizontal line?

Slope: 0

200

What is the domain of the function y=3^x.

(-inf, inf) AKA all real numbers.

200

Simplify the following polynomials:

(x² + 4x - 4) - (x³ + 2x² - 8)

-x³ + 3x² + 4x + 4

300

Solve the following system of equations.

y=-2x+3

y=6x-1

(0.5, 2)

300

Solve for d.

7 > d + 7 > 2

0 > d > -5

300

What is the slope of a vertical line?

Slope: undefined

300

What is the dotted line called that the curve of an exponential graph approaches but never touches?

Asymptote

300

Simplify the following polynomials:

(x + 8)(2x - 2)

2x² + 14x - 16

400

Solve the following system of equations.

y=4x+3

y=4x-11

No solution

400

Solve for x.

-3x + 19 < -2

x > 7

400

Find the slope of a line that goes through these two points:

(1, 1) and (8, 15)

Slope: 2

400

What is the range of the function y=2^x?

(0, inf) AKA y>0

400

Factor the following polynomial:

5x³-80x

5x(x+4)(x-4)

500

Solve the following system of equations.

y=x²

y=3x

(0,0) and (3,9)

500

Solve for x.

|x - 9| > 6

x > 15 OR x < 3

500

Find the slope of a line that goes through these two points:

(-4, -2) and (7, 16)

Slope: 18/11

500

Fernando opened a savings account and deposited $400. The account earns 15% interest, compounded annually. If he wants to use the money to buy new bicycle in 3 years, how much will he be able to spend on the bike? Round your answer to the nearest cent.

$925.22

500

Factor the following polynomial:

3x³+9x²+24x

3x(x+8)(x+1)