Hector has $100 in savings and makes $7.50 per hour. Luis has $80 in savings and earns $12.75 for each hour worked. They work together for the same number of hours, and they save all of the money they earn. Luis wants to know how many hours he has to work to have the same amount of money in savings as Hector. Luis sets the expression representing his savings given his hours worked equal to the expression for Hector. Which equation should Luis use? Which is the logical first step to find the solution, and how can taking the step be justified?

The equation is 7.50h + 100 = 12.75h + 80. The logical first step is to subtract 7.50h from both sides using the subtraction property of equality.

The equation is 12.75h + 100 = 7.50 + 80. The logical first step is to subtract 80 from both sides of the equation using the subtraction property of equality.

The equation is 12.75h + 100 = 7.50h + 80. The logical first step is to subtract 7.50 from both sides using the subtraction property of equality.

The equation is 7.50h + 100 = 12.75h + 80. The logical first step is to add 80 to both sides of the equation using the additive property of equality.

Hallie has a savings account. She saves the same amount each month. The total amount in her account, A, after m months is given by the equation below. A = 50m + 75 What does the 75 in this equation represent, in this context?

the starting amount in the account

the amount in the account after one month

the amount she saves each month

Did Randall correctly graph the equation?

No, Randall graphed the line with a slope of – 1/2 instead of – 2.

Yes, Randall correctly graphed the equation.

No, Randall graphed the line with a slope of 2 instead of –2

No, Randall graphed an x–intercept of (3, 0) instead of a y – intercept of (0, 3).

What does the point (0,0) on the graph represent?

The landscape company charges $0 if a flower garden is not created.

The landscape company charges a maximum of $1,200.

The landscape company does not make square gardens with a length of 12 yards.

The landscape company charges $100 even if a flower garden is not made.

Eva measures the mass of her pet lizard each month. She wrote this equation to describe her lizard’s growth. y = 0.6x + 4 In the equation, x represents the independent variable and y represents the dependent variable. Which of the following can be the quantities that x and y represent?

x = the time in months, and y = the mass in grams

x = the time in months, and y = the type of lizard

x = the mass in grams, and y = the time in months

x = the type of lizard, and y = the mass in grams

The amount of money in a savings account is modeled by the function f(x) = 50x + 100 , where x represents time in months. What does the 100 represent?

the initial amount in the savings account

the number of months that pass before the account reaches its maximum value

the amount added to the account each month

the total amount of money in the account after 1 month

Alex collects toy cars. He visits stores each weekend and buys more toy cars. His mother wants to keep track of Alex's purchases in order to predict when she will need to buy a larger container. She keeps track of his purchases for a few weekends then creates a line of best fit for Alex's purchasing habits after x weekends. Her line of best fit is modeled by the equation y = 10x + 22. Select all options that correctly interpret the linear model.

On average, Alex buys 10 toy cars each weekend.

On average, Alex buys 22 toy cars each weekend.

Algebra 1 EOCA review JB

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.B.5, HSF.LE.B.5, 8.EE.C.7B

+14

Standards-aligned

Jennifer Brown

Used 36+ times

FREE Resource

35 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The ordered pairs below represent a function.
What is the domain of the function?
{(−4, 2),(−2, 1),(0, 0),(2,−1)}

{−1, 0, 1, 2}

{−4,−2, 0, 2}

{0, 0, 1, 2, 2}

{−4,−1,−2, 0, 1, 2}

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Jeremy has an $8 gift card to use to buy comic books. Each comic book costs $5.25. The function f(x) = 5.25x − 8 represents the amount of cash required to purchase x comic books after using his gift card. How much cash does Jeremy need to buy 3 comic books?

$7.75

$8.25

$10.50

$15.75

Tags

CCSS.HSF-BF.A.1A

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Penelope graphed the function below using the domain {0, 1, 2, 3, 4}.
x + y = 4
Which graph did Penelope make?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If f(x) = 11 − 6 (x − 8), what is f(-3)?

41

-55

-19

77

Tags

CCSS.HSF.IF.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A bathtub is filling with water. The table below shows how many gallons of water are in the bathtub after a certain number of minutes.
What is the average rate of increase in the number of gallons per minute from 4 minutes to 12 minutes?

0.4 gal/min

3.5 gal/min

2.3 gal/min

0.3 gal/min

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following relations is a function?

{(0, 1), (0, 2), (1, 3), (1, 4)}

Tags

CCSS.8.F.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The water at the end of a pier was 28 meters deep at midnight. As the tide came in, the water depth increased at a rate of 0.012 meters per minute. Which equation can be solved to find t, the time in minutes it took the water depth to reach 30 meters?

t/0.012 - 28 = 30

0.012t + 28 = 30

t/0.012 + 28 = 30

0.012t - 28 = 30

Tags

CCSS.7.EE.B.4A

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Algebra 1 EOCA review JB

35 questions

The ordered pairs below represent a function.
What is the domain of the function?
{(−4, 2),(−2, 1),(0, 0),(2,−1)}

Jeremy has an $8 gift card to use to buy comic books. Each comic book costs $5.25. The function f(x) = 5.25x − 8 represents the amount of cash required to purchase x comic books after using his gift card. How much cash does Jeremy need to buy 3 comic books?

Penelope graphed the function below using the domain {0, 1, 2, 3, 4}.
x + y = 4
Which graph did Penelope make?

If f(x) = 11 − 6 (x − 8), what is f(-3)?

A bathtub is filling with water. The table below shows how many gallons of water are in the bathtub after a certain number of minutes.
What is the average rate of increase in the number of gallons per minute from 4 minutes to 12 minutes?

Which of the following relations is a function?

The water at the end of a pier was 28 meters deep at midnight. As the tide came in, the water depth increased at a rate of 0.012 meters per minute. Which equation can be solved to find t, the time in minutes it took the water depth to reach 30 meters?

Which value of x makes this equation true?
−4(3 − x) + 2x = 8

What value of x makes this equation true?
2 (3x − 8) = 2 (7x + 2)

The formula for finding the perimeter of a rectangle is shown below.
P = 2l + 2w
What is that same formula rewritten for w in terms of the other variables?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Algebra 1 EOCA review JB

35 questions

The ordered pairs below represent a function. What is the domain of the function?{(−4, 2),(−2, 1),(0, 0),(2,−1)}

Jeremy has an $8 gift card to use to buy comic books. Each comic book costs $5.25. The function f(x) = 5.25x − 8 represents the amount of cash required to purchase x comic books after using his gift card. How much cash does Jeremy need to buy 3 comic books?

Penelope graphed the function below using the domain {0, 1, 2, 3, 4}. x + y = 4 Which graph did Penelope make?

If f(x) = 11 − 6 (x − 8), what is f(-3)?

A bathtub is filling with water. The table below shows how many gallons of water are in the bathtub after a certain number of minutes. What is the average rate of increase in the number of gallons per minute from 4 minutes to 12 minutes?

Which of the following relations is a function?

The water at the end of a pier was 28 meters deep at midnight. As the tide came in, the water depth increased at a rate of 0.012 meters per minute. Which equation can be solved to find t, the time in minutes it took the water depth to reach 30 meters?

Which value of x makes this equation true?−4(3 − x) + 2x = 8

What value of x makes this equation true?2 (3x − 8) = 2 (7x + 2)

The formula for finding the perimeter of a rectangle is shown below. P = 2l + 2wWhat is that same formula rewritten for w in terms of the other variables?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The ordered pairs below represent a function.
What is the domain of the function?
{(−4, 2),(−2, 1),(0, 0),(2,−1)}

Penelope graphed the function below using the domain {0, 1, 2, 3, 4}.
x + y = 4
Which graph did Penelope make?

A bathtub is filling with water. The table below shows how many gallons of water are in the bathtub after a certain number of minutes.
What is the average rate of increase in the number of gallons per minute from 4 minutes to 12 minutes?

Which value of x makes this equation true?
−4(3 − x) + 2x = 8

What value of x makes this equation true?
2 (3x − 8) = 2 (7x + 2)

The formula for finding the perimeter of a rectangle is shown below.
P = 2l + 2w
What is that same formula rewritten for w in terms of the other variables?