Hanger/Tape Diagrams

Area Diagrams

Percentages

True or Not True

Word Problems

100

Write an equation that represents the hanger diagram

7 = 3x + 1

100

Write an equation to represent the area of the rectangle below:

20s = ?

100

Write an equation that shows the relationship

15% of 160 is x

15/100 * 160 = x

100

When x = 3 is the equation true? Explain your reasoning

x-3 = 0

Yes, when x = 3

3-3=0.

100

At Jane Addams Middle School, 1/5 of the track athletes are in 6th grade.

How many 6th graders are track athletes if the team has 90 track athletes? Explain your reasoning.

18 6th Graders are Track Athletes

200

Write an equation for the tape diagram

3z + 22 = 49

200

Write an expression for the sum of the areas of the two rectangles.

5(x+8)

5x + 40

5x + 5 * 8

200

Write an equation that shows the relationship

20% of y is 42

20/100 * y = 42

200

When x = 3 is the equation true? Explain your reasoning

1-x = 3

No as this would get us a negative value, so it would not be equal to 3

200

At Jane Addams Middle School, 3/5 of the track athletes are in 8th grade.

How many 8th graders are track athletes if the team has 90 track athletes? Explain your reasoning.

54 Students are 8th Grade Athletes on the track team

300

Write an equation for the tape diagram and find the value of the variable.

3t = 66

t = 22

300

Write an equation that represents the area of the rectangle

6(4p)

24p

6p+6p+6p+6p

300

15% of 35 is p. Find the value of p.

p = 5.25

300

When x = 3 is the equation true? Explain your reasoning

10 - x = 8

Not True

10 - 3 = 7

300

At Jane Addams Middle School, 1/5 of the track athletes are in 6th grade.

If the track team has x athletes, write an expression for the number of 6th graders in terms of x.

1/5 x

400

Write an equation for the hanger diagram and find a value of the variable.

6.8 = 2z + 2.2

z = 2.3

400

Write an equation that represents the area of the rectangle. Find the area when m = 2

m(6+8)

6m+8m

14m

Area = 28 units squared

400

25% of w is 10. Find the value of w.

w = 40

400

When x = 3 is the equation true? Explain your reasoning

1/2x = 1 1/2

True as 3/2 = 1 1/2

400

At Jane Addams Middle School, 30% of the track athletes are in 7th grade. There are 12 athletes in 7th grade on the track team.

If the track team has x athletes, write an expression for the number of 7th graders in terms of x.

30/100 * x = 12

500

DAILY DOUBLE!!!!!

Write an equation for the tape diagram. Find a solution.

3(x+4) = 45

x = 11

500

Find the area of the rectangle when r=1/2

Area = 1 1/2 units squared or 3/2 units squared

500

40% of m is 90. Find the value of m.

40/100 * m = 90

90 รท 0.4 = 225

500

When x = 3 is the equation true? Explain your reasoning

x^{4 }= 81

True as

x*x*x*x = 3*3*3*3

3*3*3*3=81

500

At Jane Addams Middle School, 30% of the track athletes are in 7th grade. There are 12 athletes in 7th grade on the track team.

If the track team has x athletes, write an expression for the number of 7th graders in terms of x. Find the value of x.

30/100 * x = 12

12 * 10/3 = 120/3

120/3 = 40