Gable ACAP Math Practice Alg 1

Geometry

100

Find the area of a triangle with a base of 10 and a height of 8

40

200

Find the length of the missing side.

9.4

300

Find the length of the missing side (#2). 

5.2

400

Find the volume (#3)

1407.7

500

Find angle b (#4)

36

Equations

100

2x + 8 = 6x - 12

x = 5

200

3x - 7 = 14 + 3x

No Solution 

300

2(3x - 5) = 5x + 3

x = 13

400

Solve the system w/ substitution. 

y = x - 5

2x + 3y = 20

x = 7, y = 2

500

Joe ran 1.6 miles, and Mike ran 2 1/2 miles. Steve runs twice the difference between Mike and Joe. How far did Steve run? 

1.8 miles

Linear Functions

100

Find the slope.

(3, 8) and (-2, 1)

7/5

200

Graph.

y = 2x - 3

See Graph

300

Find the y-intercept

2x + 4y = 20

5

400

Bill has $15 in savings. He plans on adding $10 every month. Write an equation to represent Bill's savings. 

y = 10x + 15

500

Write the equation of a line that passes through the points (1, 3) and (4, 9) 

y = 2x + 1

Number System

100

Leave your answer as an exponent.

3⁵ x 3²²

3²⁷

200

Is 7 rational or irrational? 

Rational

300

What is an integer? 

Pos/Neg Whole Number

400

Define Rational Numbers and give 3 examples.

Any number that can be written as a fraction.

Exs: 10, 0.2, 0.33333333...

500

Define Irrational Numbers and give 3 examples. 

Decimals that do not end or repeat.

Exs: Pi, Sq. Root of 2, 7.237421334267...

Quadratics

100

Open up or down? 

y = x² + 10

Up

200

Find the vertex.

y = 2x² + 8x - 5

(-2, -13) 

300

Compare and contrast.

y = 2x² 

y = -5x² + 1

Up/Down, Diff Vertex, 2nd one is narrower, 

400

Draw a sketch of 

y = x² + 2

See sketch 

500

Define the zero's of a Quadratic Function

1) Plug in to = 0

2) The x-intercepts