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Five-Minute Check (over Lesson 6–6)
Main Idea
Example 1:Write an Equation for a Function
Example 2:Make a Table
Example 3:Write an Equation
Example 4: Use an Equation to Solve a Problem
Example 5: Write and Use an Equation to Solve a Problem
• Write an equation to describe a proportional situation.
Write an Equation for a Function
Write an equation to represent the function displayed in the table.
Examine how the value of each input and output changes.
Answer: So, the equation that represents the function is y = 9x.
Each output y is equal to 9 times the input x.
1. A
2. B
3. C
4. D0% 0%0%0%
A. y = 11x
B. y = x + 11
C. y = 11 – x
D. y = x ÷ 11
Write an equation to represent the function displayed in the table.
BOOKS Javier sells handmade notebooks. He charges $25 for each book. Make a table to show the relationship between the number of books sold b and the total amount Javier earns t.
The total earned (output) is equal to $25 times the number of books sold (input).
Answer:
Make a Table
1. A
2. B
3. C
4. D0% 0%0%0%
BABYSITTING Jenna baby-sits on the weekends. She charges $8 for each hour. Make a table to show the relationship between the number of hours Jenna baby-sits h and the total amount she earns t.
A. B.
C. D.
BOOKS Javier sells handmade notebooks. He charges $25 for each book. Write an equation to find the total amount earned t for selling b books.
The total earned equals $25 times the number of books sold.
Write an Equation
Words Total earned equals $25 times the number of books sold.
Variable Let t represent the total earned and b represent the number of books sold.
Equation t = 25 ● b
Answer: So, the equation is t = 25b.
Write an Equation
1. A
2. B
3. C
4. D
0% 0%0%0%
A. t = 2h + 4
B. t = h + 8
C. t = 4h
D. t = 8h
BABYSITTING Jenna baby-sits on the weekends. She charges $8 for each hour. Write an equation to find the total amount earned t for h hours of baby-sitting.
BOOKS Javier sells handmade notebooks. He charges $25 for each book. How much will Javier earn if he sells 7 books?
t = 25b Write the equation.
t = 25 ● 7 Replace b with 7.
t = 175 Multiply.
Answer: Javier will earn $175 for selling 7 notebooks.
Use an Equation to Solve a Problem
1. A
2. B
3. C
4. D0% 0%0%0%
A. $56
B. $64
C. $96
D. $112
BABYSITTING Jenna baby-sits on the weekends. She charges $8 for each hour. How much will Jenna earn if she baby-sits for 14 hours?
DOG GROOMING The table shows the amount that a kennel charges for grooming a dog. Write a sentence and an equation to describe the data. Then find the total cost of grooming 11 dogs.
The cost of grooming is $12 per dog.
The total cost t is $12 times the number of dogs d.
Therefore, t = 12d. Use this equation to find the total cost t of grooming 11 dogs.
Write and Use an Equation to Solve a Problem
t = 12d Write the equation.
Write and Use an Equation to Solve a Problem
Answer: The total cost of grooming 11 dogs is $132.
t = 12 ● 11 or 132 Replace d with 11. Multiply.
1. A
2. B
3. C
4. D
0% 0%0%0%
A. $224
B. $288
C. $300
D. $320
CARS The table shows the amount that a rental car company charges to rent a car per day. Write a sentence and an equation to describe the data. Then find the total cost of renting a car for 9 days.
End of the Lesson
Five-Minute Check (over Lesson 6–6)
Image Bank
Math Tools
Ratios and Tangrams
Ratios
1. A
2. B
3. C
4. D0% 0%0%0%
A. Add 2 to the position number; n + 2; 15
B. Add 4 to the position number; n + 4; 17
C. Multiply the position number by 2; 2n; 26
D. Multiply the position number by 3; 3n; 39
Use words and symbols to describe the value of each term as a function of its position. Then find the value of the thirteenth term in the sequence.
(over Lesson 6-6)
1. A
2. B
3. C
4. D0% 0%0%0%
A. Add 11 to the position number; n + 11; 24
B. Add 9 to the position number; n + 9; 22
C. Multiply the position number by 5; 5n; 65
D. Multiply the position number by 11; 11n; 143
Use words and symbols to describe the value of each term as a function of its position. Then find the value of the thirteenth term in the sequence.
(over Lesson 6-6)
1. A
2. B
3. C
4. D0% 0%0%0%
A. Multiply the positionnumber by 9; 9n; 117
B. Multiply the position number by 3; 3n; 39
C. Multiply the position number by 8; 8n; 104
D. Multiply the position number by 11; 11n; 143
Use words and symbols to describe the value of each term as a function of its position. Then find the
value of the thirteenth term in the sequence.
(over Lesson 6-6)
1. A
2. B
3. C
4. D0% 0%0%0%A. 2x + 1 B. 2x
– 1
C. 3x + 1 D. x + 2
What is the rule to find the value of the missing term in the sequence below?
(over Lesson 6-6)
