Two-Step Equations

Multi-Step Equations

Variables on Both Sides

Inequalities

Word Problems

100

2a + 10 = 16

a=3

100

2x + 3x - 10 = 15

x = 5

100

5n + 9 = 2n + 12

n = 1

100

Show on a number line:

x < 5

Open circle over 5 and then line shaded left.

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

Show on a number line:

A number is at least -6

Closed circle over -6 and line shaded to the right.

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.

-13x + 1 < -25

x > 2

300

John bought a cheeseburger, fries and a drink for dinner. The cheeseburger was three
times the price of the fries, and the drink and the fries were the same price. If the entire meal
cost $12.50, what was the price of the ** cheeseburger**?

$7.50

400

10 - (4/3)t = 2

t = 6

400

(3/4)x - 5 - (1/2)x = 3

x = 32

400

3x - 4 + 2x + 2 = 3x + 1

x = 3/2

400

-7m + 1 - 2m < 19

m > -2

400

While at the beach, Daniel buys lunch for his family from a food stand. He purchases one hot dog for $2.50 and 3 hamburgers. If he spent $13 total, write and solve an equation to find h, the amount each hamburger cost.

h = $3.50

500

7x + 19 = 21

x = 2/7

500

3x + 8 - 2x + x - 18 = 10

x = 10

500

7x - 9 - 3x = 4(x + 3) + 1

No solution

500

-3x - (2x + 6) < 9 - 5x

All real numbers/Infinite solutions

500

The water temperature at the beach started at 82 degrees, and it is rising 0.6 degrees each hour. If the water temperature is now 85 degrees, write and solve an equation to find h, the number of hours that have passed.

5 hours

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