algebra 1: unit 10 review - ms. kirby...algebra 1: unit 10 review question: how to solve: 1. the set...

Name ________________________________________ Date ____________________ Period _______

Algebra I • Unit 10 Review • of 6

Algebra 1: Unit 10 Review

Question: How to Solve:

1. The set of ordered pairs below represent some points on the graph of the function f.

{(—6, —10), (2, 2), (—4, —7), (2, 2), (0, —1)}

What is the parent function of f?

A y = x2

B y = x3

C y = x

D y = 4x

*Hint: use a table and find the slope between each set of ordered pairs.

2. Which inequality is equivalent to 5! − 4! > 8?

A ! < !!! − 2

B ! < !!! + 8

C ! > !!! − 2

D ! > !!! + 8

3. The graph below shows the relationship between the temperature of heated water and the number of minutes the water has been heating.

What does the slope of the graph represent?

A The number of days it takes to reach 100°C

B The number of minutes per degree increased

C The temperature of water with 5 min. heating

D The temperature increased per min. of heating

Name ________________________________________ Date ____________________ Period _______



4. Cars are being loaded onto a car carrier. The table below shows the total weight, including the truck, that the car carrier will weigh depending on the total number of cars (of the same weight) on the carrier.

Number of Cars

Total weight (tons)

2 18

3 22

4 26

5 30

Based on this information, which statement is true?

A The carrier weighs 4 tons without any cars

B The carrier weighs 10 tons without any cars

C The carrier weighs 14 tons without any cars

D The carrier weighs 8 tons without any cars

5. The slope and y-intercept of the graph of f were changed to make the graph of g, as shown below

Which statement describes the changes that were made to the graph of f to make the graph of g?

A The slope was multiplied by —2, and the y-intercept was decreased by 3 to make the graph of g.

B The slope was multiplied by —!!, and the y-intercept

was increased by 3 to make the graph of g.

C The slope was multiplied by —2, and the y-intercept was increased by 3 to make the graph of g.

D The slope was multiplied by —!!, and the y-intercept

was decreased by 3 to make the graph of g.

Name ________________________________________ Date ____________________ Period _______



6. The graph of line p represents ! = −2! + 12. If the slope of the line p is divided by 4 to create line r, which statement about the graphs of the two lines is true?

A line r is parallel to line p

B line r intersects line p

C line r is perpendicular to line p

D line r s 9 units below line p

7. If the graph of ! = −4! − 6 is translated 3 units up, which equation describes the new graph?

A ! = −4! − 9

B ! = −! − 6

C ! = −7! − 3

D ! = −4! − 3

8. What is the equation in standard form of the line that passes through the point (−2, 5) and has a slope of −0.3?

A 3! + 10! = 44

B 3! + 10! = −50

C 3! + 10! = −44

D 3! + 10! = 50

9. What is the zero of the linear function graphed below?

A 6

B −6

C 2

D −2

Name ________________________________________ Date ____________________ Period _______



10. An airplane’s altitude in meters as it descends to the airport can be found using the function ! ! = −100! + 30,000, where t represents the time in seconds after the beginning of the descent. Concerns about the safety of the passengers causes the pilot to change his descent so it is modeled using the function ! ! = −80! + 30,000. Which statement describes the change?

A The airplane is descending 20 meters per second faster. B The airplane is descending 20 meters per second more slowly. C The airplane is starting 20 meters closer to the ground. D The airplane is starting 20 meters further from

The ground.

11. The graph below shows the number of candy pieces in a candy jar being drained at a constant rate.

If the rate at which the jar is drained stays the same and the initial candy amount is reduced by 160 pieces, how would the time it takes to empty the jar be affected?

A It would take 80 more hours

B It would take 80 fewer hours

C It would take 20 more hours

D It would take 20 fewer hours

Name ________________________________________ Date ____________________ Period _______



12. The value of y varies directly with x. Which function

represents the relationship between y and x if y = !!,

when x = 10?

A y = !!"

x

B y = !"! x

C y = !"! x

D y = !!"

x

13. An architect is designing a new rectangular school with n classrooms that will have a cafeteria in the middle of the school that is 42.3 yards wide. Each classroom in the school will be 10.2 yards wide. Which function can be used to find the total width of the school?

A ! ! = 42.3! + 10.2

B ! ! = 52.5!

C ! ! = 10.2! + 42.3

D ! ! = 10.2! − 42.3

14. Which coordinate pair is in the solution set for y < 2−4x

A (−1, −1)

B (1, 1)

C (−1, 6)

D (0, 2)

Name ________________________________________ Date ____________________ Period _______



15. A mechanic charges $95 an hour plus a $100 diagnostic fee when he works on a car. The total charge for the mechanic to fix the car was $385. How many hours did the mechanic spend on the job?

A 4!! hours

B 4 hours

C 3!! hours

D 3 hours

16. If y=− !!! + 5, what is the value of x when y=−1?

A −9

B 9

C − 173

D !"!

17. The profit a clown needs to make to support his family is $55,000 a year. He has never made more than $58,000 in a single year. In the first four months of the year, the clown made a total of $19,000 in profits. What is a reasonable amount of profit the clown can make each month for the rest of the year and be able to support his family?

A $4,250

B $4,400

C $4,550

D $5,200

algebra 1: unit 10 review - ms. kirby...algebra 1: unit 10 review question: how to solve: 1. the set...

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