Tape Diagrams
Draw a tape diagram and solve for x.
8 + x = 23
x = 15
|———8———|———x———|
Total = 23
Draw a hanger diagram and solve for x.
x + 5 = 11
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x 11
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5
x=6
Label the variable, coefficient, and solution.
x + 7 = 19
Coefficient: 1 (implied)
Variable: x
Solution: x = 12 or x + 7 = 19
Match the word problem to the equation.
Yoni has 3 bags of oranges. He has 24 oranges in all. How many oranges are in each bag?
a. 3x = 24
b. x + x + x = 24
c. 24 ÷ 3 = x
d. 3 + x = 24
e. 24 + x = 3
a, b, or c.
Draw a tape diagram and solve for x.
5 * x = 45
x=9
|—x—|—x—|—x—|—x—|—x—|
Total = 45
Draw a hanger diagram and solve for x.
4x = 20
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x 20
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x
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x
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x
x=5
Label the variable, coefficient, and solution.
5x = 20
Coefficient: 5
Variable: x
Solution: x = 4 or 5x = 20
Andrew has 9 marbles and finds some more. Now he has 15 marbles. How many did he find? Match the word problem to the equation.
a. 9x = 15
b. x + 9 = 15
c. 15 - 9 = x
d. 15 ÷ 9 = x
b or c.
https://kristenacosta.com/3_acts/colors-of-love/
How many M&M's of each color? How many M&M's total?
Dark red = 38
Dark pink = 21
Light pink = 23
White = 17
Total = 99
A box holds 7 bags of rice. Each bag weighs some pounds. The total weight is 42 pounds. How much does a bag of rice weigh? Draw a tape diagram to show your work.
|—x—|—x—|—x—|—x—|—x—|—x—|—x—|
Total = 42
x=6
A scale has one mystery box and a 5-pound weight on the left side. The right side has 12 pounds. How much does the mystery box weigh? Draw a hanger diagram to show your work.
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x 12
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5
x=7
Label the variable, coefficient, and solution.
3x − 6 = 15
Coefficient: 3
Variable: x
Solution: x = 7 or 3x - 6 = 15
Two friends have bags of candy. Cariana has 3 bags with some candy. Kingston has 2 bags with some candy. Together they have 25 marbles. Match the word problem to the equation.
a. 3x + 2x = 25
b. 3 + 2 = 25
c. 5x = 25
d. x + x + x + x + x = 25
e. 25 ÷ 5 = x
a, c, d, or e.
Bella has 3 times as many pencils as Ruben. Ruben has 6 pencils. How many pencils does Bella have? Draw a tape diagram to show your work.
Ruben: |———6———|
Bella: |———6———|———6———|———6———|
Maria has 18 pencils
Jordan has 4 identical boxes and a 6-pound weight on one side of a hanger. The hanger balances with 30 pounds on the other side. How much does each box weigh? Draw a hanger diagram to show your work.
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x 30
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x
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x
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x
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6
x=6
Diana is packing apples into boxes. Each box holds the same number of apples. She packs 4 boxes and has 12 extra apples left over. Altogether, she has 52 apples. How many apples are in each box? Label the variable, coefficient, and solution.
Coefficient: 4
Variable: x
Solution: x = 10 or 4x + 12 = 52
A factory packs 4 boxes of shirts and has 12 extra shirts left over. In total there are 52 shirts. How many shirts are in each box? Match the word problem to the equation.
a. 4x + 12 = 52
b. 4 + x = 52
c. x + 12 = 52
d. 52 − 12 = 4x
e. 52 ÷ 4 = x
https://kristenacosta.com/3_acts/napkin-rolls/
How many rolled-up napkins are there? How many forks & knives are in the stack? How many utensils are there altogether?
Forks = 106
Knives = 53
Utensils = 159
Draw a tape diagram and solve for x.
4x + 6 = 38
|—x—|—x—|—x—|—x—| +6
Total = 38
x=8
Draw a hanger diagram and solve for x.
2x + 8 = x + 17
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x x
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x 17
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8
x=9
Label the variable, coefficient, and solution.
5x + 4 = 2x + 25
Coefficient(s): 5 and 2
Variable: x
Solution: x = 7 or 5x + 4 = 2x + 25
Caren has 6 equal crates of fruit. She also has 18 pieces of fruit outside the crates. Altogether there are 90 pieces. How many pieces of fruit are in each crate? Match the word problem to the equation.
a. 6 + x = 90
b. 90 ÷ 6 = x
c. x + 18 = 90
d. 6x - 18 = 90
e. 6x + 18 = 90
e
https://kristenacosta.com/3_acts/penny-pile/
How many pennies are in the entire pyramid? How much money would it be?
Cost = $28.70