Equations
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Challenge
100

x/2 - 7 = 9

x=32

100

Maria bought seven boxes. A week later, half of all her boxes were destroyed. There are now only 22 boxes left. How many boxes did Maria start with? 

Write a let statement, equation, and solve. 

Let x= # of boxes Maria started with

1/2x + 7 =22


x=30 boxes

100

When solving a two-step equation, most times, what is the FIRST step needed to solve?

add or subtract the number that is not attached to the variable 

100

n-5/-2 = -7

n= 19

200

c/-5 + 8 = 11

c= -15

200

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? 

Write a let statement, equation, and solve. 

Let x = # of students on each bus 

6x + 7 = 331

x= 54 students on each bus  


200

How many school days left until April vacation?

11 school days

200

a-13/ -6 = 1

a= 7

300

-1/3y + 1 = -7

y=24

300

How old am I if 400 reduced by 2 times my ag is 244? 

Write a let statement, equation, and solve. 

Let x = my age

400 - 2x = 244 

x= 78

300

When solving a two-step equation, most times, what is the second step?

multiply or divide the number attached to the variable in order to get the variable by itself
300

x + 11/ 8 = -3

x= -35

400

3/5x + 22 = 28

x= 10

400

Sammy won 40 super bouncy balls playing ring toss at her school's game night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have?

Write a let statement, equation, and solve. 

let x = # of friends Sammy has 

2x + 8 = 40 

x = 16 friends 

400

What is Ms. Z's favorite color?

Yellow

400

-2(x - 2) = 10

x= -3

500

7 - 3y =34

y= -9

500

Jill sold half of her comic books and then bought sixteen more. She now has 36. How many comic books did she start with? 

Write a let statement, equation, and solve. 

Let x = # of comic books she started with 

1/2x + 16 = 36 

x = 40 comic books 

500

Ms. Z has two dogs, what type of dogs does she have?

Poodles 

500

Allison had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. How many pieces of candy did Allison start with?

Write a let statement, equation, and solve.

Let x = # of pieces of Candy Allison started with


x- 10/ 4 = 2 

x = 18 pieces of candy 

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