Final Review - Algebra 1

Systems of Equations

100

Solve the system by substitution:

y= -7x +10

7x- 2y = 1

(1, 3)

200

Solve the system by elimination:

-3x - y = -20

3x - 9y = 30

(7, -1)

300

Solve the system by graphing:

y = x - 1

y = -2/3 x +4

(3,2)

400

Solve the system by graphing:

3x - 2y = -4

x - 4y = 12

(-4,-4)

500

Solve the system using any method of your choice:

10x - 10y = -10

-20x + 6y = 20

(-1, 0)

Exponent Laws

100

3y³ * 2x²

6y³x²

200

(3x⁴y²)²

9x⁸y⁴

300

(4v)^-3        (NO NEGATIVE EXPONENTS)

1/(64v³)

400

(3y)/(4y^-3)

(3y⁴)/4

500

3u^-2 v^-3 * u²

3/v³

Radicals

100

√256

16

200

√100m

10√ m

300

√24

2√ 6

400

√36a²

6a

500

√150n

5√ 6n

Polynomials

100

(8x⁴ - x²) + (x⁴ + 5x²)

9x⁴ + 4x²

200

(3x² + x) - (8x + x²)

2x² - 7x

300

7r²(5r - 4) 

35r³ - 28r²

400

(3v + 8)²

9v² + 48v + 64

500

(5r - 4)(2r + 4)

10r² + 12r - 16

Factoring

100

Factor:

5x² + 6x

x(5x + 6)

200

Factor: 

x² - 5x - 6

(x + 1) (x - 6)

300

Factor: 

8x³ - 24x² - 3x + 9

(8x² - 3) (x - 3)

400

Factor: 

2a² + 13a + 18

(2a + 9) (a + 2)

500

9k² - 16

(3k + 4) (3k - 4)