Algebra Unit 3: Simplifying & Solving

Power Properties

100

Simplify: 5(g³)⁰

5

200

Simplify: 4x^-2 / y^-3

4y³ / x²

300

Simplify: (g⁴h³)(g²h)

g⁶h⁴

400

Simplify: (3b²c)³

27b⁶c³

500

Simplify: (x^-2y⁵z) / (x²y^-1z³)

(y⁶) / (x⁴z²)

Polynomials

100

Simplify: 4xy-6x+2y²-xy+8x-y

3xy+2y²+2x-y

200

Solve: -3(12+4x) = 18

x=-4.5

300

Solve: 3x²+29=(3x-2)(x+4)

x=3.7

400

Simplify: (-5y+8)(2y-3)

-10y²+31y-24

500

Simplify: (-2x²+3y+7)(3x²-x-4)

-6x⁴+2x³+9x²y+29x²-3xy-7x-12y-28

Rearranging Equations

100

The area of a parallelogram can be found using a=lw, where area equals length times width. Solve for width.

w= a/l

200

The volume of a pyramid is represented by V=(1/3)bh where b is base and h is height. Solve for b.

b= 3v/h

300

Solve for w: 2(v-3)=1-(w+4)

w=-2v+3

400

Solve for x: 4x(x+1)=(2x-3)(2x+5)

0=15 -> no real solutions

500

The volume of a tetrahedron is found using V=a³/(6√ 2)

∛ ((6√ 2)V)= a

Absolute Value

100

Solve: |f|=87

f=87 and -87

200

Solve: |4y-11|=-2

No solution

300

Solve: |-2x+13|=19

x=-3 and 16

400

Solve: |5y+8|=19

y=2.2 and -5.4

500

Solve: 2|3c-1|+7=22

c=17/6 and -4.5

Poppleton Trivia

100

Ms. Poppleton's favourite colour

Yellow

200

Ms. Poppleton's birthday 

May 13

300

The last country Ms. Poppleton visited

Italy

400

The number of bones Ms. Poppleton has broken

2

500

Ms. Poppleton's favourite food

brussels sprouts