Solving and Writing Equations

Solving Equations

100

Solve the following problems:

1. 18 = 2x   x = ?

2. 17 = x + 9   x = ?

3. 8x = 56   x = ?

    

1. x = 9

2. x = 8

3. x = 7

200

Solve the following:

1. 6x = 45

2. (5/7)x = 55

3. (1/5) = 6x

1. x = 7.5

2. x = 77

3. x = 1/30

300

Solve the following:

1. (20/3) = (10/9)x

2. 28 = (1/3)x

1. x = 6

2. x = 84

400

Solve the following:

 x = 14.88 + x = 17.05

 x = 2.17

500

Solve the following:

1. 2.17 + x = 5

2. 21 = (1/4)x

1. x = 2.83

2. x = 84

Match Situations

100

Clare has 8 fewer books than Mali. If Mali has 26 books, how many books does Clare have?

Select ALL of the ways to set up this problem and solve for x.

1. 26 - 8 = x

2.  x = 26 + 8

3. x + 8 = 26

4. 26 - 8 = x

1. 26 - 8 = x

3. x + 8 = 26

4. 26 - 8 = x

x = 18 books 

200

A coach formed teams of 8 from all the players in a soccer league. There are 14 teams. How many players are in the league?

Select ALL of the ways to set up this problem and solve for x.

1. y = 14 ÷ 8

2. y ÷  8 = 14

3. (1/8)y = 14

4. y = 14 * 8

2. y ÷  8 = 14

3. (1/8)y = 14

4. y = 14 * 8

y = 112 players

300

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400

Kiran scored 223 more points in a computer game than Tyler. If Kiran scored 409 points, how many points did Tyler score?

Select ALL of the ways to set up this problem and solve for x.

1. 223 = 409 - z

2. 409 - 223 = z

3. 409 + 223 = z

4. 409 = 223 + z

1. 223 = 409 - z

2. 409 - 223 = z

4. 409 = 223 + z

z = 186

500

Mai ran 27 miles last week, which was three times as far as Jada ran. How far did Jada run?

Select ALL of the ways to set up this problem and solve for x.

1. 3w = 27

2. w = (1/3) * 27

3. w = 27 ÷ 3

4. w = 3 * 27

1. 3w = 27

2. w = (1/3) * 27

3. w = 27 ÷ 3

w = 9

Vocabulary

100

What is an Equation?

A mathematical statement with an = sign 

200

What does Solution mean?

The answer to a problem.

300

What is a Variable?

A letter that represents any number.

400

What is an Expression?

A mathematical statement without an = sign 

500

What does Coefficient mean?

Hint: 2a or 5x

The number in front of a variable

Extra Practice Problems

100

Solve the following:

1. 36 = 4x

2. 13 = x + 5

3. 3x = 21

1. x = 9

2. x = 8

3. x = 7

200

Solve the following:

1. 6.17 + x = 9

2. 3.91 + x = 6.08 

1. x = 2.83

2. x = 2.17

300

Solve the following:

(1/3) = 10x

x = (1/30)

400

Solve the following:

(3/7)x = 33

77

500

Solve the following:

(7/3)x = (7/15)

x = (1/3)

Random

100

What are the names of the teachers in this room?

Ms. Bonner

Ms. K

Ms. Stela

200

What is Ms. Bonner's favorite superhero?

Batman

300

What are the three 6th grade teams?

Dynamic

Aviators

Stellar

400

Name one club or activity at UMS

Examples include:

SPALSH,

Any Sport

Art club, etc

500

Name all the teachers on the Dynamic team

Miss Bonner,

Miss Washington

Miss K

Miss H

Mr. Bell

Mr. Barton