Topic 7 Test Review

Basics and Operations

100

Identify the third-degree binomial: 2y-xy³+7 or 3x²y+5xy?

3x²y+5xy (The other is 4th degree)

200

Write in Standard Form: 3x³-5x+7x⁴-9-x²

7x⁴+3x³-x²-5x-9

300

Which pair of factors of -60 has a sum of 7?

12 and -5

400

Simplify: (3x³+7x-1) + (4x³-9x²-11x+1)

7x³-9x²-4x

500

Simplify: (-5x+7) - (x²-3x+2)

-x²-2x+5

Multiplication

100

Multiply: -7y²(-2y⁴+y²-1)

14y⁶-7y⁴+7y²

200

Multiply: (3x-2)(3x+2)

9x²-4

300

Multiply: (2y-6)²

 4y²-24y+36

400

 (4x²+6)(x²-3x+8)

4x⁴-12x³+38x²-18x+48

500

Find the product: (2x - 3)(x² + 4x - 5)

2x³ + 5x² - 22x + 15

Factoring Frenzy

100

Factor out the GCF: 6x³-12x²+18x

• 
  

  6x(x²-2x+3)

200

 Factor: x²-3x-10

 (x-5)(x+2)

300

Factor: 36y²-1

(6y-1)(6y+1)

400

Factor completely: 12y²-6y-90

6(y-3)(2y+5)

500

Factor completely: 20x² - 10x - 100

10(2x - 5)(x + 2)

Real World Math

100

Find the Prime Factorization of 140.

2 * 2 * 5 * 7

200

A square picture has a 2-in frame. The frame area is 72 sq in. What is the picture area?

49 sq in (9 * 9 picture, 13 * 13 total with frame)

300

Find the area expression for a portrait where height is 1.5w and there is a 4-in frame.

(w+8)(1.5w+8)

400

A cone has volume V=3pi y²+30pi y+75pi and height h=9. Find radius r.

r = y+5

500

A rectangle width w has height 2w. Find the area with a 3-in frame.

2w² + 18w + 36