Two-Step Equations
Multi-Step Equations
Variables on Both Sides
Simplifying Expressions
Word Problems
100

2a + 10.3 = 16.3

a=3

100
2x + 3x - 10 = 15
x = 5
100
5n + 9 = 2n + 12
n = 1
100

π (pie)

3π + 2 - π + 4


2π + 6

100

What expression could represent the perimeter of a rectangle with a length of (20x + 8) and a width of (2x)

44x +16

200
3 - 10b = 23
b=-2
200
x - 3x + 1 + 5 = 8
x = -1
200
8y - 3 = 6y + 17
y = 10
200
-3x + 4y - 2y + 5x - 10
2x +2y -10
200

On a beach trip, Lucy rents a bike from “Wheels by the Waves”, where they rent bikes for $12 plus $3 per hour. If Lucy spent $30, how many hours (h) did she rent a bike?

6 hours

300
-(1/2)x + 4 = 8
x = -8
300
4x + 2 - 7x - 10 = 4
x = -4
300
6x + 5 - 2x = 3x + 26
x = 21
300

Solve for y

2x + 4y = 16

y = 1/2 x + 4

300

The cost C (in dollars) of making n feet of cabinet is represented by C = 18n + 45. How many feet of cabinet are made when the cost is $441?

22 feet

400
10 - (4/3)t = 2
t = 6
400
(3/4)x - 5 - (1/2)x = 3
x = 32
400

1/3 (9x - 6) + 2x + 2 = 3 (3x + 4)

x = -3

400

1/2 (6t - 4) = 3t - 2 

infinitely many solutions

400

A rectangle is 6 units wide and (x – 8) units long. It has the same area as a triangle with a height of 7 units and a base of (x – 3) units. What is the area of the rectangle?

42 units 2

500
7x + 19 = 21
x = 2/7
500
3x + 8 - 2x + x - 18 = 10
x = 10
500
(1/2)x + 3 = 5 - (3/2)x
x = 1
500

solve for m

e = mc2

m = e/ c2

500

The formula d = rt relates distance d to rate r and time t. Find how long it takes an airplane to fly 375 miles at 500 miles per hour.

45 minutes

M
e
n
u