Algebra 1 Semester 1 Review

Solve Equations

100

Solve for x; 2x + 5 = 6x + 25

x=-5

200

x/3 - 5 = 22

x=81

300

2x - 5 = -3x- 40

x=9

400

3(x - 2) = 3x + 1

No solution

500

Solve for x; |2x + 4| = 20

x = 8 and x = -12

m & b

100

What is the slope and y-intercept of y=2x - 5

m = 2 and b = -5

200

Identify the slope and y-intercept of 2x + y = 6

m=-2, b=6

300

Identify the slope and y-intercept of y - 3 = 4(x+1)

m=4, b=7

400

Identify the slope of a line that goes through (0,2) and (-4,0)

m=1/2

500

Write the equation of a line that is perpendicular to y=-1/2x - 7 and goes through the point (2,5)

y - 5 = 2(x - 2)

Solve inequalities

100

4 - x > 12

x < -8

200

-9 < x + 2 < 14

-11 < x < 12

300

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

x < 6/7

400

Write an inequality:

Under her cell phone plan, Yaritza pays a flat cost of $41.50 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.

41.50 + 5x < 60

500

-8 < 2/3x + 6 < 12

-21 < x < 9

Solve Systems

100

Solve the system of equations: y=3 x=2y

(6,3)

200

Two lines cross each other at the point (-3, 1/2). If we wrote the equations for each line and then solved the system of equations, what would the solution be?

(-3, 1/2)

300

Solve the system:

x + y = 12

x = y + 8

(10,2)

400

Solve the system:

2x - 3y = 21

y = -2 - x

(3, -5)

500

y = 7x + 2

14x - 2y = 10

No solution

Grab Bag

100

What is this the formula of: (y2 - y1) / (x2 - x1)

The slope of the line connecting (x1, y1) and (x2, y2)

200

What form is this equation in: y - 7 = 3(x -2)

Point-Slope Form

300

If f(x) = 2x - 5, what is f(10)?

f(10) = 15

400

If f(x) = 6x - 4, solve for x if f(x) =  44

x = 8

500

Find the x-intercept, y-intercept, and slope of the equation:

6x + 3y = 24

x-intercept: (4,0)

y-intercept: (0,8)

slope: -2