2022 / 2023 Algebra Review

Simple Equations

100

Solve: 2x + 2 = 18

x = 8

200

Solve: 3x + 4 = 7

x = 1

300

Solve: 3x + 3 - 2x = 21

x = 18

400

Solve: 4x - 5 - 3x + 2 - 2x = 9

x = -12

500

Solve: 21 + x = 2(x - 6)

x = 33

Functions

100

f(x) = 4(x+2)²

Find f(2)

64

200

Algebra: simplify: 3(6wd - 3) + wd3 

Algebra: 21wd - 9 

300

g(x) = 4(x-2)+1

g(x) = 5

find x

x = 3

400

f(x) = 2(x+1)² 

f(x) = 18

Find x

x = 2, -4

500

f(x) = 4x+1

g(x) = 2x²+3x+2

Find f(x)+g(x)

2x²+7x+3

Slope Intercept/Linear Equations

100

Algebra: What is the slope-intercept of a linear equation

Algebra: y= mx + b

200

Write the following equation in slope-intercept form:  5(x + 2y) = 20

y = -1/2x + 2

300

Solve: (3x-5)/4 = 5

x = 25/3

400

Simplify: -4(3x - 2) -2(4 + 3x)

-18x

500

simplify: 4h2k - 4hk2 + 2k2 + 7hk2 - 3h2k - 3hk2

2hk + 4k

Slope/Simplifying Equations

100

Find the slope: 2(3x - y)  = -10 

3

200

What is the slope of the following equation:

2x + 2y = 8

slope = -1

300

Solve: (3 - 3x)/7 = 6

x = -13

400

Simplify: 22p - 7p + 19 - 15 - 12

15p - 8

500

 What's the slope of the line passing through (3,9) (5,4)

slope: -5/2

Absolute Value

100

Solve the equation: 

|x|-6=4

x = 10 or x = -10

200

Solve the equation.

4|x-5| = 12

x = 8 or x = 2 

300

Solve: 

4|x+3|-7=5

x = 0 or x = -6

{0,-6}

400

Solve the equation.  

-3|x-1|+5=8

No Solution.

500

Solve the equation. 

0.8|x+4|-3=1

x = -9 or x = 1 

Factorising

100

Factorise: 7x²+14x

7(x+2)

200

Factorise: 6ab+2a²-12a

2a(3b+a-6)

300

Factorise:

ax+bx+ay+by

(a+b)(x+y)

400

Facotrise:

x²+8x+16

True

(x+4)²

500

Factorise:

2x²-11x+5

(2x-1)(x-5)