Solving Multi-Step Equations

Exponent Rules

100

x⁴ * x²

x⁶

200

(3mn⁴)⁰

1

300

7a^-6

7/a^6

400

(2x³y⁴z)³

8x⁹y¹²z³

500

(4gh³)²/(2g³h²)³

2/g⁷

Polynomial?Type?Degree?

100

2x³ - 4x + 6

yes

trinomial

degree 3

200

x² - 1/2

yes

binomial

degree 2

300

12/x

no

400

-5/3

yes

monomial

degree 0

500

7x² + 5x - 8x^-1

no

Polynomials+, -, *, /

100

(7x² + 5x - 3) + (2x² - 3x + 8)

9x² + 2x + 5

200

3x³(2x² - 4x + 7)

6x⁵ - 12x⁴ + 21x³ 

300

(4x - 3)(5x + 3)

20x² - 3x - 9

400

(3m + 5)²

9m² + 30m +25

500

(12x⁷ - 6x⁴ + 18x - 3)/(-6x²)

-2x⁵ + x² - 3/x + 1/(2x²) 

Factor completely

100

2x⁴ + 8x

2x(x³ + 4)

200

x² + 4x - 5

(x+5)(x-1)

300

12x³ + 15x² + 8x + 10

(4x+5)(3x²+2)

400

2x³ +14x² + 24x

2x(x+3)(x+4)

500

8x² + 2x - 3

(4x+3)(2x-1)

Miscellaneous

100

Round  856.6274  to the nearest tenth.

856.6

200

(1/6)(16/5)

8/15

300

6 - 4(3) + 2

-4

400

6x - 4 = 4(x + 3)

x=8

500

Isolate y.

4x + 2y = 10

y = -2x + 5