Two-Step Equations

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

3x + 2 > x + 4

x > 1

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

3d + 18 = 18 - 3d

d=0

300

James 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

10xy - x + 7y + 3x - 12y

10xy + 2x - 5y

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

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

x = 1

500

6xy + 2xz - 4xy + 5x - 7xz

2xy - 5xz + 5x

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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