Algebra SOL Review

Solve
4x + 12 = 2x - 6

x = -9

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

x = - 1/2

Solve
8x + 6 - 9x = 2 - x - 15

No solution

Solve
6 - 2x - 1 = 4x + 8 - 6x - 3

All Real Numbers

Solve the equation
2x - 4 = 22

13

Solve the equation
x - 3 - 6 = 2

11

Solve
-3x < 10 - x

x > -5

Solve
-4(3 - x) > 5(x + 1)

x < -17

Identify the domain and range
X Y
-2 3
4 5
-1 6
2 3
1 3
4 7
-3 0

D: { -2, 4, -1, 2, 1, -3}
R: { 3, 5, 6, 7, 0}

Is this relation a function? Why?
X Y
-2 3
4 5
-1 6
2 3
1 3
4 7
-3 0

No - because 4 is repeated in the x values

Is it a function?
X Y
-1 1
-2 1
-3 1
-4 1
-5 1
-6 1
-7 1

Yes - because no x values are repeated

Find the 21st term in the arithmetic sequence
3, 8, 13, 18....

103

Find the x and y intercepts and graph
6x + 3y = 12

x = 2
y = 4
(2,0) (0,4)

Find the x and y intercepts and graph
-5y + 2x = -10

x = -5
y = 2
(-5,0) (0,2)

Negative Slope

What kind of slope is shown?

Positive Slope

What kind of slope is shown?

Zero Slope

What kind of slope is shown?

Undefined Slope

What kind of slope is shown?

Slope = -2

Identify the slope of the line by counting the rise/run

Slope = -1/2

Identify the slope of the line by counting the rise/run - (find where the line crosses in the corner of the box)

Find the slope of the line that passes through these 2 points
(-3,-4) (2, -6)

m = -2/5

Find the slope of the line that passes through these 2 points
(-1,3) (5,3)

m = 0

Find the slope of the line that passes through these 2 points
(-6,2) (-6-9)

m = undefined

Write an equation in slope-intercept form using the point-slope formula
m = -4 (1,5)

y = -4x + 9

Rearrange the equation into slope-intercept form
2x - 3y = 9

y = 2/3x - 3

Rearrange the equation into slope-intercept form
4x = 2y - 8

y = 2x + 4