Midterm Review

Exponent Rules

100

Simplify the expression:

x²/x

x

200

Simplify the expression:

x³ * x⁵

x⁸

300

Simplify the expression:

x³(2x⁸)

2x¹¹

400

Simplify the expression:

(-2x⁴*x⁵)⁵

-32x⁴⁵

500

Simply the expression:(x^2y^3)/(x^2y)

y²

Polynomials

100

Combine like terms.

8y + 10y

18y

200

Simplify the expression:

4y + 2y² + 2y

(Remember to put your answer in standard form)

2y² + 6y

300

8y(2y + 2)

16y² + 16y

400

5x(2y + 3x + 1)

10xy + 15x² + 5x

500

3y²(y² + y + 1)

3y⁴ + 3y³ + 3y²

Functions

100

For the functions f(x) = -3x + 2 and g(x) = 6x + 1, calculate:

f(1)

-1

200

For the functions f(x) = -3x + 2 and g(x) = 6x + 1, calculate:

g(3)

19

300

For the functions f(x) = -3x + 2 and g(x) = 6x + 1, calculate:

f(2) – g(2)

-17

400

For the functions f(x) = -3x + 2 and g(x) = 6x + 1, calculate:

f(1) * g(3)

-19

500

For the functions f(x) = -3x + 2 and g(x) = 5x + 3, calculate:

g(g(x))

25x + 18