Algebra 1 Final Review

Graphs

100

What is the slope of a line with the following equation? 

y=2x+10

Slope = 2

200

Write the slope-intercept form of the line.

Slope=1/2,  y-int=5

y=1/2x+5

300

Write the equation of the line. 

Slope=-5,  y-int=(0,-7)

y=-5x-7

400

Calculate the slope of the line that goes through (1, 5) and (-3, 2)

Slope = 3/4

500

Calculate the slope of the line that goes through (10,2) and (-4,-2). Simplify, if possible.

Slope = 2/7

Equations

100

Solve the equation. 

3x+5x = -16

x=-2

200

Solve the equation. 

3(x-3)=6

x = 5

300

Solve using square roots. 

x²=25

x=5, x=-5

400

Solve using square roots.

x²+7=23

x=4, x=-4

500

Solve the equation.

4(x+3)=2(x-4)

x=-10

Factoring

100

Factor using GCF.

25x²+5x

5x(5+1)

200

Factor using GCF.

35+30x+15x²

5(7+6x+3x²)

300

Use the X-method to factor.

x²-x-2

(x+1)(x-2)

400

Use the X-method to factor.

2x²-5x-12

(2x+3)(x-4)

500

Solve the equation by factoring (x-method).

x²-2x-24=0

x=6, x=-4

Polynomials

100

Add the polynomials.

(x+3)+(2x-10)

3x-7

200

Add the polynomials.

(x²+4x-3)+(3x+4-x²)

7x+1

300

Subtract the polynomials. 

(4x²-5x+3)-(3x+2)

4x²-8x+1

400

Find the product. 

2x(2x + 3)

4x²+6x

500

Find the product.

(x+3)(x-2)

x²+x-6

Misc.

100

Describe the transformation. 

y=-(x+7)²-4

Reflected across the x-axis. Left 7 units. Down 4 units. 

200

Calculate the mean, median, and mode. 

4, 1, 8, 9, 4, 10, 13

Mean=7, Median= 8, Mode=4

300

Find the vertex.

y=(x-4)²+2

(4,2)

400

Find the vertex. 

y=x²+10x-2

(-5,-27)

500

Solve using the quadratic formula. 

x²-4x+4=0

x=2