Unit 1 Test Review

Identify Parts of the Polynomial

100

This expression in standard form:

5x³ + 6x - 2x⁴

What is -2x⁴ + 5x³ + 6x

200

The degree of this polynomial: -2x⁴ + 5x³ + 6x

What is 4

300

The leading coefficient of this polynomial: -2x⁴ + 5x³ + 6x

What is -2

400

The coefficient of the x³ term: -2x⁴ + 5x³ + 6x

What is 5

500

This polynomial in standard form: -2m³ + 3 - 2m³ - 6m

What is -4m³ - 6m + 3

Addition & Subtraction

100

Find the sum: (-5x² + 3x - 9) - (7x³ - 9x² + 10)

What is -7x³ + 4x² + 3x - 19

200

Simplify: (z³ - 3z²) - (5z² + 2z)

What is z³ - 8z² - 2z

300

Simplify: (3x - 2x² + 5) + (x² + 4x - 8)

What is -x² + 7x - 3

400

Simplify: (2k²-k+3) - (5k²+3k-7)

What is -3k²-4k+10

500

Simplify: (2g⁴-3g+9) + (-g³+12g)

What is 2g⁴-g³+9g+9

Multiplication

100

Simplify: 7(x+4)

What is 7x+28

200

Simplify: 2x(7x² - 5 + x)

What is 14x³ + 2x² - 10x

300

Simplify: -w²(w-15)

What is -w³+15w²

400

Simplify: (3x + 2)²

What is 9x² + 12x + 4

500

Simplify: -4(m⁴ + 12m - 10)

What is -4m⁴ - 48m + 40

Solving Equations

100

Solve the following equation for L:   

A = LW

What is:  A/W  = L

              

200

Solve the following equation for V:

D = M/V

What is V = M/D

300

Solve the equation for r:

3r + 6d = - 24

What is r = -2d - 8

400

Solve the following equation for x:

10 - 3x = -20

What is x = 10

500

Determine the perimeter of a rectangle with a length of (x + 3) and a width of (2x - 4).  Draw a picture!

What is 6x - 2

Picture of a rectangle with two sides labeled (x + 3) and two sides labeled (2x - 4)

Function Operations

100

Using functions:  f(x) = 3x -7 and g(x) = -2x +5

Find: f(5)

What is 8

200

Using functions:  f(x) = 3x -7 and g(x) = -2x +5

Find: g(0)

What is 5

300

Using functions:  f(x) = 3x -7 and g(x) = -2x +5

Find r(x) = f(x) - g(x)

What is 5x -12

400

Using functions:  f(x) = 3x -7 and g(x) = -2x +5

If f(x) = 26, =?

What is 11

500

Using functions:  f(x) = 3x -7 and g(x) = -2x +5

If g(x) = 19, x =?

What is -7