Write and Solve Equations

1-Step Equations

100

x-5=12

17

200

x+13=20

7

300

-6 = x - (-3) 

x = -9

400

x/4=-2

x=-8

500

2/3x=4

x=6

2-Step Equations

100

2x+1=9

x=4

200

12x-5=7

x=1

300

8x+10=-6

x=-2

400

x/-5+8=11

x=-15

500

3/4x+9=-3

x=-16

Write Equations

100

Sabrin had some colorful pens. Then she lost 12 and now she has 38. 

Write an equation to represent her situation.

x - 12 = 38

200

Christopher and Kyle went on a sports gear shopping spree. Christopher spent $17 less than Kyle. If Kyle spent $100 in total, write an equation to find how much Chris spent.

Let c represent the money Chris spent

c + 17 =100

c = $83

300

Mr. W. gave a bag of Jolly Ranchers to a group of 3 students. The students decided to share the Jolly Ranchers equally. Each student received 13 Jolly Ranchers. How many Jolly Ranchers were in the bag? Write an equation to represent the situation. Choose your own variable.

x/3 = 13

400

Nura rented an orange helicopter. It costs $200 per hour plus $50 for gas. Her total cost was $650.

What equation can be used to represent this situation?

200x + 50 = 650

500

Abdi rides his bike the same distance to and from school each day. He also rides 3.6 miles round trip each day to go to soccer practice. During a 5-day school week, he rides a total of 43 miles. Write an equation to represent how many miles he rides to school each day.

5(x+3.6)=43 

OR

5x+18=43

Challenge Equations (double points)

100

-4a+2a-7=31

-4a+2a-7=31

-2a-7=31

a=-19

200

6(x+3)=48

x=5

300

3x - 5x - 7 = -11

x = 2

400

 -75 = 6(x - 10) + 9

x = -4

500

0.5(-8+x)=34

x=76

Challenge Write Equations (double points)

100

Taric bought 7 movie tickets for him and his family. He also bought 2 popcorns for $3 each.  If he spends $41, what was the cost per ticket?

7x + 6 =41

200

The current temperature is 73°F. It is expected to drop 3.5°F each hour. Write an equation that can be used to find the number of hours it will take for the temperature to reach 59°F.

73 - 3.5x = 59

300

Ali and Brenna were selling boxes of Girl Scout cookies. Ali sold 15 less boxes than Brenna.  If they sold 199 boxes in total, how many did each girl sell?

199 = a + b, a = b - 15

199 = b - 15 + b

199 = 2b - 15

400

The perimeter of a triangle is 36 inches.  The base of the triangle is 20 inches.  The other 2 sides have an equal length.  Write and solve and equation that represents the length of the other 2 sides.

2s = 36 - 20

2s = 16 (divide both sides by 2)

s =  8

500

Danielle is building a rectangular fence around her garden.  The length is 10 feet longer than the width.  If she has 120 feet of fencing, what are the length and width of the garden?

P = l + l + w + w

120 = w +10 + w + 10 + w + w

120 = 4w+20

The width is 25 feet and the length is 35 feet.