Algebra 1 Equations and Exponents Review

Combining Like Terms

100

9v + 4v

13v

200

3 + 6x + 4x

3 + 10x

300

1 - 7n + 1 + 10n

2 + 3n

400

(5k³ + 8k + 7) + (7 + 3k³ - k)

8k³ + 7k + 14

500

(7v - 3v³ - 3v⁴) - (2v³ - 3v - 6v⁴)

3v⁴ - 5v³ + 10v

Solving Equations

100

5 (2 + 4k) = 130

k=6

200

120 = -2 (-4 - 8n)

n=7

300

6b - 3b = 7b + 8b + 12

b = -1

400

1 - 6k = -6k + 1

infinite solutions

500

-149 = 7v - 4 (-8v + 8)

v = -3

Properties of Exponents (Multiplication Only)

100

3m²n³ * 2m²n³

6m⁴n⁶

200

2x³ * 3y

6x³y

300

3x² * 4yx³

12x⁵y

400

3u²v² * 4u³v²

12u⁵v⁴

500

4x²y³ * 3x⁴y² * 2yx³

24x⁹y⁶

Mixed Bag

100

-100 <= -4 (-3 - 4m)

m >= -7

200

Write the equation of the line using the following: 

Slope = 2 / 3 ,   y-intercept = -4

y =(2 / 3) x - 4

300

Is (-1,-1) a solution to the following system of inequalities?

y > -2x - 3

y > 3x + 2

no

400

Simplify:

sqrt(108x⁴)

6x²sqrt3

500

Write the equation of the line perpendicular to y=(2/3)x-3 and passes through (-2,2)

y=(-3/2)x-1

Monomial x Polynomial

100

2n (8n + 7)

16n² + 14n

200

6m (2m - 6)

12m² - 36m

300

8 (x² + x - 5)

8x² + 8x - 40

400

3x (8x² + 3x - 3)

24x³ + 9x² - 9x

500

2r⁶ (6r² + 2r - 2)

12r⁸ + 4r⁷ - 4r⁶