Grade 7 Equation Review

Word Problems

100

Emma has 5 more candies then Aydin, there are 20 candies total. How many candies does Aydin have?

 Write an equation. 

x + 5 = 20

200

Joan and Troy go out to eat. They split the bill and paid $13 each. How much was the bill? 

Write an equation.

x / 2 = 13

300

Braelee goes shopping, she buys a t-shirt for $15, and pants for x amount of dollars. She spent $67 total. 

How much were the pants?

x + 15 = 67

400

A pirate steals 2300 pieces of gold. They hides x amount of gold on each of 3 islands. They also decides to keep 350 pieces of gold on the ship for safety. How much gold was on each island? 

Write an equation. 

3x + 350 = 2300 

500

Mr. Metexas gym class has 41 students. He makes x amount of groups with 7 students, and one group with 6 students. How many groups of 7 are there?

Write an equation. 

7x + 6 = 41

One Step

100

x + 5 = 11

x + 5 = 11 

x + 5 - 5 = 11 - 5

x = 6

200

-2 + m = 5

-2 + m = 5

-2 + 2 + m = 5 + 2

m = 7

300

3x = 15

3x = 15

3x / 3 = 15 / 3

x = 5

400

-12 = 3k

-12 = 3k

-12 / 3 = 3k / 3

-4 = k

500

x / 10 = 17

x / 10 = 17

(10)(x / 10) = 17(10)

x = 170

Two Step

100

2x + 1 = 3

2x + 1 = 3

2x + 1 - 1 = 3 - 1

2x/2  = 2/2

x = 1 

200

6 + 2x = 10

6 + 2x = 10

6 - 6 + 2x = 10 - 6

2x = 4

x = 2

300

2 =-5 + 7x

2 = -5 + 7x 

2 + 5 = -5 + 5 + 7x 

7 = 7x

7 / 7 =7x / 7 

x = 1

400

2 = -5 + 7x

2 = -5 + 7x 

2 = -5 + 5 + 7x 

7 / 7 =7x / 7 

x = 1

500

-8 + b / 2 = 12

-8 + b / 2 = 12

-8 + 8 + b / 2 = 12 + 8

b / 2 = 20

b = 40

Preservation of Equality

100

Is the following equation equal? 

2 + 4 - 7 = 11 - 9

No. 

2 + 4 - 7 = 11 - 9 

6 - 7 = 2

-1 = 2

200

What changes need to be made to make this equations equal. Re-write the equation.

 18 = 6          

18 = 3 x 6 

or

18 / 3 = 6

or

18 - 12 = 6 

or 

18 = 6 + 12

300

What changes need to be made to make this equations equal. Re-write the equation

 (2)(3) = 4        

(2)(3) = 4 + 2 

6 = 6

400

4 + 3 - 9 = 6 - 4 - 4

4 + 3 - 9 = 6 - 4 - 4

7 - 9 = 6 - 8 

-2 = -2

Yes

500

Is this pair of equations equivalent?

4t = 8 and 4t+2 = 10

Yes.

4t = 8 

4t/4 = 8 / 4

t = 2

4t + 2 = 10 

4t + 2 - 2 = 10 -2

4t = 8

4t / 4 = 8 / 4

t = 2

Riddles

100

What gets wet when drying?

A towel

200

What goes all the way around the world but stays in a corner?

A stamp

300

I shave every day, but my beard stays the same. Who am I?

A barber

400

What has a head and a tail, but no body?

A coin 

500

If you have me, you will want to share me. If you share me, you will no longer have me. What am I?

A secret