Algebra 1 Semester 1 Final Exam

Last updated almost 4 years ago

25 questions

4

Stephanie expects to earn $10.00 for every hour she works at Chick-fil-a this summer, but at the end of the summer she will have to pay her parents $350.00 for using the car.

Which equations models how much money (M) Stephanie will have at the end of the summer if she works for (h) hours and paid her parents?

M = 10h + 350

M = -10h - 350

M = -10h + 350

M = 10h - 350

Dan is filling up his water bottle at the drinking fountain. The water flows from the fountain at a rate of 6 ounces per second. His bottle had 10 oz. of water in it when he started to fill it. This scenario can be modeled with the equation W = 6t + 10 where W is the amount of water in the bottle (in oz.) and t is the time spent filling the bottle (in seconds).

How many ounces of water will Dan have in his bottle after filling it for 8 seconds?

4

24

58

48

Arty is draining his pool. He created a line of fit for the data he gathered and graphed it.

The equation of the line of fit is W = -150h + 1200, which represents how much water was left in the pool in relation to time passed. 

Use this graph and equation to answer questions 3 - 5.

What does the y intercept mean, in context?

The pool started with 150 gallons of water, before any time had passed. 

The pool started with 1200 gallons of water, before any time had passed.

The pool was losing 1200 gallons of water every hour.

The pool was losing 150 gallons of water every hour. 

According to the line of fit, how many hours will it take for the pool to be completely drained?

10

4

6

8

What does the slope of the line of fit mean, in context?

The pool started with 1200 gallons of water, before any time had passed.

The pool was losing 150 gallons of water every hour.

The pool was losing 1200 gallons of water every hour.

The pool started with 150 gallons of water, before any time had passed.

Identify the y - intercept of the graph below.

(3, 0)

(0, -2)

(-2, 0)

(0, 3)

Which of the following statements is true about the graph?

The function has a positive slope.

The function has a negative slope.

The function has a zero slope.

The function has an undefined slope.

Solve for x.

Find the slope of the line.

Solve for x.

x > -2

x < -2

x > 8

x < 8

Romina is tracking the growth of her saguaros by comparing the current height in millimeters to the time they have been planted in months. Romina’s data is displayed in the graph below with the line of best fit.

The correlation coefficient of Romina's line of fit is 0.982. What does this tell us about the data?

There is a strong, negative correlation between time and saguaro growth.

There is a weak, positive correlation between time and saguaro growth.

There is a strong, positive correlation between time and saguaro growth.

There is a weak, negative correlation between time and saguaro growth.

The equation of Romania’s line of fit is y=10x+31. What does the slope of Romina’s line of fit mean, in context?

The saguaro’s height started at 31 mm when it was first planted.

The saguaro’s height increases by 10 mm every month.

The saguaro’s height started at 10 mm when it was first planted.

The saguaro's height increases by 31 mm every month.

The equation of Romania’s line of fit is y=10x+31. What does the y intecept of Romina’s line of fit mean, in context?

The saguaro’s height started at 31 mm when it was first planted.

The saguaro’s height increases by 10 mm every month.

The saguaro's height increases by 31 mm every month.

The saguaro’s height started at 10 mm when it was first planted.

Simplify:

15x - 1

15x - 10

50x - 1

50x - 10

What inequality does the graph represent?

x > -3

x ≤ -3

x < -3

x ≥ -3

What graph represents the following inequality?

Which graph represents the following inequality?

Solve the following system of linear equations.

(3, 2)

(2, 3)

(2, -9)

(-2, -17)

Solve the following system of linear equations.

(9, -1)

(-1, 9)

(9, 5)

(5, 9)

Which of the following system of linear equations has a solution of (2, 4)?

Stephanie expects to earn $10.00 for every hour she works at Chick-fil-a this summer, but at the end of the summer she will have to pay her parents $350.00 for using the car.

Which equations models how much money (M) Stephanie will have at the end of the summer if she works for (h) hours and paid her parents?

M = 10h + 350

M = -10h - 350

M = -10h + 350

M = 10h - 350

Dan is filling up his water bottle at the drinking fountain. The water flows from the fountain at a rate of 6 ounces per second. His bottle had 10 oz. of water in it when he started to fill it. This scenario can be modeled with the equation W = 6t + 10 where W is the amount of water in the bottle (in oz.) and t is the time spent filling the bottle (in seconds).

How many ounces of water will Dan have in his bottle after filling it for 8 seconds?

4

24

58

48

What does the y intercept mean, in context?

The pool started with 150 gallons of water, before any time had passed. 

The pool started with 1200 gallons of water, before any time had passed.

The pool was losing 1200 gallons of water every hour.

The pool was losing 150 gallons of water every hour. 

According to the line of fit, how many hours will it take for the pool to be completely drained?

10

4

6

8

What does the slope of the line of fit mean, in context?

The pool started with 1200 gallons of water, before any time had passed.

The pool was losing 150 gallons of water every hour.

The pool was losing 1200 gallons of water every hour.

The pool started with 150 gallons of water, before any time had passed.

Identify the y - intercept of the graph below.

(3, 0)

(0, -2)

(-2, 0)

(0, 3)

Which of the following statements is true about the graph?

The function has a positive slope.

The function has a negative slope.

The function has a zero slope.

The function has an undefined slope.

Solve for x.

Find the slope of the line.

Solve for x.

Solve for x.

Solve for x.

Solve for x.

Solve for x.

Solve for x.

x > -2

x < -2

x > 8

x < 8

Romina is tracking the growth of her saguaros by comparing the current height in millimeters to the time they have been planted in months.  Romina’s data is displayed in the graph below with the line of best fit.

The correlation coefficient of Romina's line of fit is 0.982. What does this tell us about the data?

There is a strong, negative correlation between time and saguaro growth.

There is a weak, positive correlation between time and saguaro growth.

There is a strong, positive correlation between time and saguaro growth.

There is a weak, negative correlation between time and saguaro growth.

The equation of Romania’s line of fit is y=10x+31. What does the slope of Romina’s line of fit mean, in context?

The saguaro’s height started at 31 mm when it was first planted.

The saguaro’s height increases by 10 mm every month.

The saguaro’s height started at 10 mm when it was first planted.

The saguaro's height increases by 31 mm every month.

The equation of Romania’s line of fit is y=10x+31. What does the y intecept of Romina’s line of fit mean, in context?

The saguaro’s height started at 31 mm when it was first planted.

The saguaro’s height increases by 10 mm every month.

The saguaro's height increases by 31 mm every month.

The saguaro’s height started at 10 mm when it was first planted.

Simplify:

15x - 1

15x - 10

50x - 1

50x - 10

What inequality does the graph represent?
 

x > -3

x ≤ -3

x < -3

x ≥ -3

What graph represents the following inequality?

Which graph represents the following inequality?

Solve the following system of linear equations.

(3, 2)

(2, 3)

(2, -9)

(-2, -17)

Solve the following system of linear equations.

(9, -1)

(-1, 9)

(9, 5)

(5, 9)

Which of the following system of linear equations has a solution of (2, 4)?