Algebra 1 Final Review (Genesee)

Order of Operations and Evaluating Expressions

100

Simplify:

(5 + 16) ÷ 7 − 2

1

200

Simplify:

20 ÷ (4 − (10 − 8))    

10

300

Evaluate:

m − n ÷ 4;  m = 5, n = 8

-3/4

400

Simplify:

5 + 4(2+4) ÷ 2 - 3

14

500

Evaluate:

x(y ÷ 3)²; x = 4, y = 9

36

Solve for X

100

Solve:

4(x − 3) + 5 = 2x + 7

x = 7

200

-5/6x = 3/4

x = -9/10

300

Solve: 

2/4x+3/5 = 1/3x+8/5

x = 6

400

Solve: 

3(x + 1) - [2(3 - 2x) - 3(3 - x)]=2(x + 5) - 4

x = 0

500

Solve:

6 - 4(6x + 7) >= 122

x <= -6

Lines

100

Find the slope:

(1, 2)(3, 4)

m = 1

200

Find the equation of the line that goes through:

(3, 3)(4, 6)

y = 3x - 6

300

Find the equation of the line that goes through:

(-1, 4)(-4, -1)

y = 5/3x + 17/3

400

Find the equation of the line that is parallel to 

3x + 2y = 12 and goes through (3, -1)

y = -3/2x + 7/2

500

Find the equation of the line that is perpendicular to -2x + y = -3 and goes through (1/2, 4)

y = -1/2x + 17/4

Systems of Equations

100

Solve by Elimination:

−2x − 9y = −25

−4x − 9y = −23

(-1, 3)

200

Solve by Elimination:

−4x + 9y = 9

x − 3y = −6

(9, 5)

300

Solve by Substitution:

x+5y=4

2x-10y=20

(7, -3/5)

400

Solve by Substitution:

x+4y=8

2x-5y=29

(12, -1)

500

Find the x- and y-intercepts:

3x - 2y = 8  

x-int: (8/3, 0)

y-int: (0, -4)

8th Grade Material

100

Write in Standard Notation:

7.5 x 10⁵

750000

200

Write in Scientific Notation:

.000034

3.4 x 10^-5

300

Find the Distance:

(-3,4) and (1,-1)

sqrt(41)

400

Find the Midpoint:

(1, −9) and (6, −6)

(7/2, -15/2)

500

Use the Pythagorean Theorem:

a = 12, c = 16, find b

b = sqrt(112)