IM 6.6.6 Lesson: Write Expressions Where Letters Stand for Numbers

[size=150]If [math]x[/math] is 6, what is:[/size][br][br][math]x+4[/math]
[math]7-x[/math]
[math]x^2[/math]
[math]\frac{1}{3}x[/math]
Lin set up a lemonade stand. She sells the lemonade for $0.50 per cup. Complete the table to show how much money she would collect if she sold each number of cups.
How many cups did she sell if she collected $127.50? Explain your reasoning.
Elena is 59 inches tall. Some other people are taller than Elena. Complete the table to show the height of each person.
If Noah is [math]64\frac{3}{4}[/math] inches tall, how much taller is he than Elena?
Clare is 5 years older than her cousin.
[size=150]How old would Clare be if her cousin is:[/size][br][br]10 years old?
[size=150]How old would Clare be if her cousin is:[/size][br][br]2 years old?
[size=150]How old would Clare be if her cousin is:[/size][br][br][math]x[/math] years old?
[size=100][size=150]Clare is 12 years old. How old is Clare’s cousin?[/size][/size]
Diego has 3 times as many comic books as Han.
[size=150]How many comic books does Diego have if Han has:[br][/size][br]6 comic books?
[size=150]How many comic books does Diego have if Han has:[br][/size][br][math]n[/math] comic books?
[size=150]Diego has 27 comic books. How many comic books does Han have?[/size]
Two fifths of the vegetables in Priya’s garden are tomatoes.
[size=150]How many tomatoes are there if Priya’s garden has:[/size][br][br]20 vegetables?
[size=150]How many tomatoes are there if Priya’s garden has:[/size][br][br][math]x[/math] vegetables?
[size=150]Priya’s garden has 6 tomatoes. How many total vegetables are there?[/size]
A school paid $31.25 for each calculator.
[size=150][size=100]If the school bought [math]x[/math] calculators, how much did they pay?[/size][/size]
[size=150][size=100]The school spent $500 on calculators. How many did the school buy?[/size][/size]
[size=150]Kiran, Mai, Jada, and Tyler went to their school carnival. They all won chips that they could exchange for prizes. Kiran won [math]\frac{2}{3}[/math] as many chips as Jada. Mai won 4 times as many chips as Kiran. Tyler won half as many chips as Mai.[br][br][size=100]Write an expression for the number of chips Tyler won. You should only use one variable: [math]J[/math], which stands for the number of chips Jada won.[/size][/size]
If Jada won 42 chips, how many chips did Tyler, Kiran, and Mai each win?

IM 6.6.6 Practice: Write Expressions Where Letters Stand for Numbers

Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon.
How long is the red ribbon if the length of the blue ribbon is: 10 inches?
How long is the red ribbon if the length of the blue ribbon is: 27 inches?
How long is the red ribbon if the length of the blue ribbon is: [math]x[/math] inches?
[size=150][size=100]How long is the blue ribbon if the red ribbon is 12 inches?[/size][/size]
Tyler has 3 times as many books as Mai.
How many books does Mai have if Tyler has: 15 books?
How many books does Mai have if Tyler has: 21 books?
How many books does Mai have if Tyler has: [math]x[/math] books?
[size=150][size=100]Tyler has 18 books. How many books does Mai have?[/size][/size]
A bottle holds 24 ounces of water. It has x ounces of water in it.
[size=150][size=100]What does [math]24-x[/math] represent in this situation?[/size][/size]
Write a question about this situation that has [math]24-x[/math] for the answer.
Write an equation represented by this tape diagram using each of these operations.
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[/img][br][br]addition[br][br]
subtraction[br][br]
multiplication[br][br]
division[br]
[size=150]Select [b]all[/b] the equations that describe each situation.[/size][br][br]Han's house is 450 meters from school. Lin’s house is 135 meters closer to school. How far is Lin’s house from school?
Find the solution to the problem above.
[size=150]Select [b]all[/b] the equations that describe each situation.[/size][br][br]Tyler's playlist has 36 songs. Noah’s playlist has one quarter as many songs as Tyler's playlist. How many songs are on Noah’s playlist?
Find the solution to the problem above.
[size=150]You had $50. You spent 10% of the money on clothes, 20% on games, and the rest on books. How much money was spent on books?[/size]
A trash bin has a capacity of 50 gallons. What percentage of its capacity is each amount? Show your reasoning.
[size=150][size=100]5 gallons[/size][/size]
[size=150][size=100]30 gallons[/size][/size]
[size=150][size=100]45 gallons[/size][/size]
[size=150][size=100]100 gallons[/size][/size]

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