Unit 6 Part 1 Review!

General ?s

100

What are the two ways you can start solving an equation with parentheses? You must say both to get the points.

Divide or Distribute!

200

What are the two diagrams we use to represent equations? You must say both to get the points.

Tape Diagrams & Hanger Diagrams

300

How would I solve the equation x + 5 = 7.5? What is the solution?

Use inverse operations! Do -5 on both sides. The answer is x = 2.5.

400

What is the solution to the hanger diagram? On today's slides.

z = 2.3

500

When is Ms. Staskiewicz's birthday?

September 23rd!

Equations with Parentheses

100

Solve:

 8.88=4.44(x−7)

x = 9

200

Solve:

5(y+2/5)=−13

y = -3

300

For the following equation:

How many groups do we have?

What is in each group?

What is the total?

4(x - 16) = 90

Groups: 4

In each group: x - 16

Total: 90

400

Solve: 7 = 3( 5 + x ). 

Write your answer as a mixed number!

x = - 2 2/3

500

Draw a tape diagram to represent the following equation:

5(x - 11) = 99

There should be 5 boxes. Each box should have x - 11 inside. The total (mustache) is 99.

Equations without Parentheses

100

Solve:

3x + 5 = -7

x = -4

200

Draw a tape diagram for the following equation:

2x + 3 = 23

The tape diagram should have 2 boxes, each with x. It should have an additional box with 3. The total (mustache) is 23.

300

Solve: 6x + 8 = 72. Write your answer as a mixed number. 

x = 10 2/3

400

Draw a tape diagram for the following equation. Then solve for the variable.

5.5x + 10 = 120

x = 20

The tape diagram should have 5.5 x in a box, 10 in a box, and 120 as the total (mustache).

500

Solve!

-3x - 58 = -88.6

x = 10.2

Word Problems

100

At basketball practice, Nata makes three times as many free throws as Daniel , and she also makes one half-court shot. Nata makes 10 shots in total. The equation 3x + 1 = 10 represents this situation. What does the variable 𝑥 represent?

x = the number of free throws Daniel makes

200

Write a story that could be represented by this tape diagram (on today's slides).

Stories vary.

300

Write an equation for the story:

The temperature is -7. Since midnight the temperature tripled and then rose 5 degrees. What was the temperature at midnight?

3x + 5 = -7

400

Write an equation for the following story, then solve.

A baby giraffe weighed 132 pounds at birth. He gained weight at a steady rate for the first 7 months until his weight reached 538 pounds. How much did he gain each month?

Equation: 132 + 7x = 538

x = 58 pounds

500

Write a story that could be represented by this tape diagram (on today's slides). Then solve for the variable. Don't forget units!

Stories vary. 

x = 26 (insert units here)