Math 9 Chapter 7 Review

Monomial x Monomial

100

(6x)(3x)

18x²

200

Find the area of a rectangle with 5.5x as the height and 9.2x as the length.

50.6x²

300

(-x)(9x)

(-9x²)

400

Using algebra tiles, solve the following expression:

(2x)(4x)

8x²

500

Solve all three expressions:

a) (-4x)(-5x)

b) (7x)(3x)

c) (6x)(-x)

a) 20x²

b) 21x²

c) -6x²

Monomial / Monomial

100

27x² / 9x

3x

200

85x⁴ / 17x

5x³

300

Solving using algebra tiles

6x² / 2x

3x

400

25x¹⁵ / 5x⁹

5x⁶

500

Solve using algebra tiles

12x² / 6x

2x

Monomial x Polynomial

100

(4x)(6x+4)

24x²+16x

200

Solve

(8x⁵)(6x² - 8x - 1)

48x⁷ - 64x⁶ - 8x⁵

300

(4x)(3x³ - 6x² + 5x - 8)

(12x⁴ - 24x³ + 20x² - 32x)

400

Using an area model AND distributive property, solve the following expression

(6x)(8x+1)

48x²+6x

500

(5x)(3x⁶ - 5x² + 9x - 4x³ - 7)

30x⁷ - 25x³ + 45x² - 20x⁴ - 35x

Polynomial / Monomial

100

(60x² - 175x) / (5x)

12x - 35

200

(-4x⁵y²)²  / (2x³y)

-2x⁷y³

300

(21a³b³ + 35a⁴b² – 56a²b⁴) ÷ (-7a²b²)

-3ab - 5a² + 8b²

400

A triangle has a base of (3x + 6) cm and a height of (24x)cm. Write and simplify an expression to calculate the area of this triangle.

(72x² + 144x) / (2) 

=(36x² + 72x)

500

(4xyz + 12xyz² - 6xy² + 12x³yz) / 2xy

2z + 6z² - 3y + 6x²z

Random

100

What is the first step in multiplying and dividing polynomials?

Multiply/divide the coefficients

200

Using an area model, solve:

(5x)(2x² + 7x - 2)

10x³ + 35x² - 10x

300

If a rectangle has an area of 36x² and a side length of 3x, what is the missing side length?

12x

400

(2r²s³t + 2s³t² + rs⁴t³) / (s²t)

2r²s + 2st + rs²t²

500

Identify which part of the expression is the divisor and the dividend. Determine the quotient for the following expression:

(68x⁴ - 32x² + 28x) / (4x)

Divisor: (4X)

Dividend: (68x⁴ - 32x² + 28x)

Quotient: 17x³ - 8x + 7