Year 8: Learning Review 1

Expanding

100

Expand: 4(x+2)

4x+8

200

Expand: -2(3x+5)

-6x-10

300

Expand and simplify: 4x(2x-y)+2x²

10x²-4xy

400

Expand and simplify: -3y(-4y²-5x)-2xy

12y³+13xy

500

Expand and simplify: 4(-x - 2) - 3(2x - 8)

-10x+16

Factoring

100

Factorise: 8x + 16

8(x + 2)

200

Factorise: x³ - 49x

x( x² -49)

300

Factorise: 3x² - 75x³

3x² (1 - 25x)

400

Factorise: 4a⁴b³ - a²b

a²b (4a²b² - 1)

500

Factorise: 4a³bc - 40a³b² + 100ab²

4ab (a²c - 10ab + 25b) 

Exponents

100

Simplify: 5x² * 3x

15x³

200

Simplify: 

(10x^5)/(2*x^3)

5x²

300

Simplify: 

(4x*5y^2)/(2x^2y)

(10y)/x

or

10yx^-1

400

Simplify: 

(x^0y^5z^3)/(x^5(y^2)^3z)

(z^2)/(x^5y)

or

z^2x^-5y^-1

500

Simplify: 

((3x^4)^2*6)/((-2x)^2*x^3

13.5x³ or (27/2)x³

Substitution

100

Given x = 2, work out the value of 4x+5

23

200

Given a = 3 and b = 5

Workout the value of... 2a-4b

-14

300

Given g = -2 and h = -1 

Workout the value of... g²+h

3

400

Given m = -3 and p = -2

Workout the value of... 2m² - 3p³

42

500

Given x = 3, y = -4, and z = 2

Workout the value of... 

((3x^2-3)/(3yz))^2

1

Acosta Trivia

100

Where was Ms. Acosta this summer? (2 correct answers)

United States OR Costa Rica

200

What subject did Ms. Acosta teach her first year at St. George's?

Computer Science

300

How many siblings does Ms. Acosta have?

3

400

What is Ms. Acosta's favorite color?

Green

500

Name the capital of the state that Ms. Acosta is from.

Springfield (Illinois)