Algebra 1 - Semester 1 Review

Solving Linear Equations and Inequalities

100

Solve for x:

4x + 1 = 17

x = 4

200

Solve for m:

4m > 2m + 1

m > 1/2

300

Solve for x:

2(x + 3) = -10

x = -8

400

Solve for n:

3(n + 1) + n - 2 = 5n + 6

n = -5

500

Solve for x:

-12 < 7x + 2 < 23

-2 < x < 3

Systems of Equations

100

Solve the following system:

x = 5

2y + 2x = 4

x = 5, y = -3

200

Solve the following system:

2x + y = 7

x + y = 4

x = 3, y = 1

300

Solve the following system:

5x + 2y = 8

5x = y - 1

x = 2/5, y = 3

400

Solve the following system:

x - 4y = 2

3x - 12y = 7

No Solutions

500

Solve the following system:

2x - y = 4

3x + 2y = -8

x = 0, y = -4

Functions and Graphing

100

Write an equation of a line with a slope of 4 and a y-intercept of 3.

y = 3x + 3

200

Calculate the slope of the line that passes through the points (2, 5) and (4, 11).

m = 3

300

What is the domain of the function f(x) = -2x + 1

All Real Numbers

400

What is the x-intercept of the equation 2x - 5y = 8

(4, 0)

500

Write the equation of a line that goes through the point (-4, 4) and is parallel to the line y = 1/2x + 3.

y = 1/2x + 6

Absolute Value Equations and Inequalities

100

Solve for y:

|2y| = 6

y = 3,   y = -3

200

Solve for p:

|3p| - 8 > 10

p > 6,   p < -6

300

Solve for x:

|3x| + 6 < 5

No Solution

400

Solve for x:

-|x + 2| < -8

x > 6,   x < -10

500

Solve for z:

-4|2z + 6| - 4 < 8

x > -4.5,   x < -1.5

Other Topics

100

Write the equation of the function g that is a reflection across the y-axis of the line f(x) = 2x + 3

g(x) = -2x + 3

200

Solve for x:

x/3 = 8/12

x = 2

300

Convert 3 feet to centimeters.

1 foot = 12 inches

1 inch = 2.54 cm

91.44 cm

400

Solve for C:

F = (9/5)C + 32

C = (5/9)(F - 32)

500

You are 5' 4" tall and cast a shadow that is 9' 6" long. What is the length of a stop sign's shadow at the same time if it is 8' tall?

14' 3" long