Grade 9 Review and Unit 1

Grade 9 Review

100

The direction of a negative slope

Downwards

200

Simplify this algebraic expression

x + 13 + 5x - 8

6x + 5

300

Use exponent laws to simplify this expression

(8x²y^3)-2

1/64x⁴y⁶

400

Given the side length of the hypotenuse (5cm) and the side length of one of the other sides (4cm), what is the last side length?

3cm

500

A line going through point (0, 5) is perpendicular to a line going through point (0, 5) and (2, 4)

What is the equation of the line?

y = 2x + 5

Multiplying binomials

100

What does FOIL stand for?

First, outside, inside, last

200

Use the distributive property on this expression:

(3x+2)(5x+1)

15x² + 13x + 2

300

Expand this expression:

(3x+2y)²

9x² + 12xy + 4y²

400

Expand this expression:

(3m²+2m)(m²+10)

3m⁴ + 2m³ + 30m²  + 20m

500

Expand this expression:

3(2x-4)(2x+4) -(3x²+2y-1)

9x² - 2y - 47

Polynomial terminology

100

The degree of this term:

5m¹n⁴x³

Hint: look at the exponents

8

200

The classification of this polynomial by degree:

x² - x - 12

Quadratic

300

The classification of this term by the number of terms:

3x² + 2x + 15

Trinomial

400

What is the degree of this polynomial?

45nm + 3x⁵y²

7

500

Number of terms in this polynomial

5x³  - 6x² - 7x + 8 

4 terms

Factoring 1

100

Common factor or tricky trinomial?

2x² + 8x

Common factor!

2x(x +4)

200

Factor:

x²+10x+25

(x+5)(x+5)

300

Factor:

x² - 16xy + 64y²

(x-8y)(x-8y)

400

Factor:

4x² - 16x + 15

(2x-3)(2x-5)

500

Factor:

6x⁷ + 7x³ + 9x

x(6x⁶ + 7x² + 9)

Factoring 2

100

Factor:

15x² + 4x - 4

(3x + 2)(5x - 2)

200

Factor:

225 - 16x²

(15-4x)(15+4x)

300

Factor:

18m² - 3m - 10

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

400

Factor:

8x² - 13xy + 5y²

(x-y)(8x-5y)

500

Factor:

(x + 4)³ - 9x - 36 =

(x + 4)(x + 1)(x + 7)