Free Printable Algebra 1 OST Released Questions

1.

A pizza shop uses the following formula to decide how many pepperonis they need to order for the week, where P represents how many pepperoni's they need and m is how many pizzas they sold last month.

P= 13m +400

If they sold 200 pizzas last month, how many pepperonis will they need this month?

a)

1 pizza

b)

3,000 Pepperoni's

c)

2600 Pepperonis

d)

400 pepperonis

2.

What are the x-intercepts?

a)

{0,2}

b)

{-4, 0}

c)

{2 ,3}

d)

{0, 4}

3.

Which function is equivalent to f(x) = 6x² - 17x + 12?

a)

f(x) = (2x + 4)(3x - 3)

b)

f(x) = (2x - 3)(3x + 4)

c)

f(x) = (2x - 4)(3x - 3)

d)

f(x) =(2x - 3)(3x - 4)

4.

What is the solution?

a)

A

b)

B

c)

C

d)

D

5.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

6.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

7.

Match the graph with its equation:

a)

$y=x^2-3$

b)

$y=\left(x-3\right)^2$

c)

$y=\left(x+3\right)^2$

d)

$y=x^2+3$

e)

$y=3x^2$

8.

Does the quadratic have a max/min vertex, and does the parabola open up/down?

a)

max/ opens down

b)

min/ opens up

c)

max/ opens up

d)

min/ opens down

9.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

10.

What is the x-intercept shown on the graph?

a)

(4, -2)

b)

(0, -2)

c)

(4, 0)

d)

(0, 4)

11.

Alfred gathers data on a company that buys equipment. The company buys $15,000 worth of equipment at the beginning of the year. The equipment is estimated to decrease in value at a rate of 12.5% per year. Alfred wants to know the minimum number of years (t) after which the value of the company's new equipment will be less than $8,000. He creates the in equality $15,000\left(0.125\right)^t<8,000$ . This inequality is incorrect. Which change will correct the inequality?

a)

replace 0.125 with 12.5

b)

replace 0.125 with 0.875

c)

replace 8,000 with 7,000

d)

replace 15,000 with 2018

12.

Farrah scored 42 points during a recent basketball game. She made only 2-point shots and 3-point shots. In total Farrah made 19 shots. Create an equation that models the number of 2-point shots, x, and 3-point shots, y, that Farrah made in the game.

(a)

13.

Select all of the relations that represent functions

a)

{(0,10), (4,7), (5,5), (7,4), (7,8)}

b)

{(0,5), (3,9), (6,2), (9,2), (15,2)}

c)

d)

e)

14.

Rasheed and Valentina each read 10 books. The total number of pages of each book is represented in the box plots shown. What is the difference in the median number of total pages per bookRasheed and Valentina read.

(a)

15.

A system of equations is given.

What is one solution to the equation. Write your answer as an ordered pair.

(a)

16.

The function f(x) is linear and has the following attributes:

1. a negative slope

2. a y-intercept of -4

Which of the following is the function f(x)

a)

b)

c)

d)

17.

The table of values for the exponential function $f\left(x\right)=a\cdot b^x$ is shown, where a is not 0 and b is a positive real number not equal to 1. What is the value of a.

(a)

18.

A system of equations is given. Which system of equations has the same solution as the given system.

a)

b)

c)

d)

19.

Shelly measures the dimensions of her bedroom so she can buy new carpet. Which set of dimensions for Shelly's carpet is most reasonable.

a)

12ft by 10 ft

b)

60 in by 36 in

c)

20 m by 18 m

d)

100 cm by 80 cm

20.

Jason compares the prices of three pizza restaurants that each charge a one-time delivery fee. He compares the total cost, in dollars, of x number of 14-inch pizzas using the functions shown in the table.

What is the cost of the lowest delivery fee?

(a)

21.

The number of bacteria on a slide doubles every hour. There are initially 4 bacteria present. Create an explicit function, f, to model the growth after n hours

f(n) =...(use ^ for your exponent)

(a)

22.

Which equation best describes the line of best fit?

a)

y = (1/2)x

b)

y = (1/3)x

c)

y = 2x

d)

y = 3x

23.

Which graph represents the function: f(x) = 2x - 1

a)

b)

c)

d)

24.

An equation is given, where C is a real number.

8x + 3(Cx - 9) = 3/4 * (8x - 8)

For what value of C is the solution to the equation x = 21/20?

(a)

25.

The steps that a student took to solve the linear equation 4x + 5 = 31 - (x -4) are shown. The student made an error in one of the steps.

A.) In which step does the error first appear?

(a)

26.

A plot is shown relating the number of vehicles using alternative fuels to the number of years since 1992. Based on the equation of the line of best fit for the data, which statement is a valid conclusion?

a)

The average number of vehicles using alternative fuels in the United States from 1992 to 1999 was approximately 18,891

b)

The increase in the number of vehicles using alternative fuels in the United States every year varied from approximately 18,981 to approximately 275,763

c)

The number of vehicles using alternative fuels in the United States increased from approximately 18,981 in 1992 to approximately 275,763 in 1999

d)

The number of vehicles using alternative fuels in the United States increased from approximately 275,763 in 1992 by approximately 18,891 every year up to 1999

27.

The equations of two functions are given. What value of x makes the equation f(x) = g(x) true?

(a)

28.

Ken plays a game with the following constraints:

1. He can score 3 or 6 points each turn in the game.

2. He can take up to 10 turns in the game.

3. He wins the game if he scores 39 points or more.

Winning the game is represented by the given system of inequalities (pictured). Ken wins the game. What is the least number of turns during which Ken must have scored 6 points

(a)

29.

The frequency table shows some information about the interiors of cars and trucks at a dealership. How many trucks have leather seats?

(a)

30.

The table of values for the exponential function $f\left(x\right)=a\cdot b^x$ is shown, where a is not 0 and b is a positive real number not equal to 1. What is the value of b

(a)

31.

Jason compares the prices of three pizza restaurants that each charge a one-time delivery fee. He compares the total cost, in dollars, of x number of 14-inch pizzas using the functions shown in the table.

What is the cost of the least expensive pizza without a delivery fee?

(a)

32.

The steps that a student took to solve the linear equation 4x + 5 = 31 - (x -4) are shown. The student made an error in one of the steps.

B.) What should be the solution to the original equation?

(a)

33.

Farrah scored 42 points during a recent basketball game. She made only 2-point shots, x, and 3-point shots, y. In total Farrah made 19 shots. Create equation an equation that models the number of points Farrah scored in the game.

(a)

34.

Solve the system by graphing. (Use Desmos)

$2x-3y=-12$

$x+y=-1$

a)

(3, 2)

b)

(-3, 2)

c)

(-2, 3)

d)

(2, -3)

35.

Solve.

$3m-2+m-6=6\left(1+3m\right)+2\left(7-8m\right)$

a)

m = 4

b)

m = 14

c)

m = 10

d)

m = -14

36.

Solve by substitution, elimination, or DESMOS.

$y=5x-7$

$8x-3y=0$

a)

(3, 8)

b)

(6, 5)

c)

(8, 3)

d)

(2, 4)

37.

Solve by substitution, elimination, or DESMOS.

$9x-6y=-15$

$-8x+8y=8$

a)

(-3, 2)

b)

(3, 2)

c)

(3, -2)

d)

(-3, -2)

38.

Solve the following linear quadratic systems using DESMOS.

$y\ =\ -x^2+4$

$y\ =\ -2x+1$

a)

(-1, 3)

b)

(3, -1)

c)

(3, -5)

d)

(3, 5)

39.

$f\left(x\right)=-2x^2-3x$

Find $f\left(7\right)$

a)

-119

b)

77

c)

119

d)

-49

40.

At Trent's Tents, it costs $45 per hour to rent a tent, plus a flat fee of $135.

Write a linear equation that models this scenario:

a)

y= 45x + 135

b)

y = 135x + 45

c)

135 = 45x + y

d)

y = 45x - 135

41.

The number of fish in a pond multiply by 5 each year. There are currently 300 fish.

Write a function for the scenario where y is the amount after x amount of time.

a)

$y=5\left(300\right)^x$

b)

$y=300\left(5\right)^x$

c)

$y=300x^5$

d)

$y=300\ \left(\frac{1}{5}\right)^x$

42.

Kayla has $1200, and every year it increases by 4%.

Write a function for the scenario where y is the amount after x amount of time.

a)

$y=1200\left(1.04\right)^x$

b)

$y=1200x^4$

c)

$y=1200+1.04x$

d)

$y=1200\left(4\right)^x$

43.

Find each product.

$\left(3n-3\right)\left(4n+6\right)$

a)

$12a^2+6n-18$

b)

$12a^2-6n+18$

c)

$12a^2-18n$

d)

$12a^2+12n-18$

44.

Factor.

$r^2-11+18$

a)

$\left(r+9\right)\left(r-2\right)$

b)

$\left(r-9\right)\left(r-2\right)$

c)

$r\ =\ 9,\ 2$

d)

$r=-9,\ -2$

45.

A function is shown.

$f\left(x\right)=\frac{2}{3}x+3$

What is the value of f(12)?

a)

11

b)

6

c)

8

d)

21

46.

A sequence is shown.

$3,\ 6,\ 12,\ 24,\ 28,\ ...$

Which function f(n), represents the nth term of the sequence, where f(1) = 3?

a)

$f\left(n\right)=2\cdot3^{n-1}$

b)

$f\left(n\right)=3\cdot2^{n-1}$

c)

$f\left(n\right)=3\cdot2^n$

d)

$f\left(n\right)=6^n$

47.

A function is shown.

$f\left(x\right)=5\left(x-2\right)^2+3$

What is the minimum value of the function?

a)

(2, -3)

b)

(-2, 3)

c)

(2, 3)

d)

(-3, 2)

48.

Jack surveyed 240 people who own either an SUV or a sports car.

What percentage of them are female?

a)

75%

b)

56%

c)

19%

d)

65%

49.

Jack surveyed 240 people who own either an SUV or a sports car.

What percentage of them own an SUV?

a)

25%

b)

65%

c)

75%

d)

13%

50.

Jack surveyed 240 people who own either an SUV or a sports car.

Given that the person surveyed was a male, what percentage of them own a sports car?

a)

65%

b)

25%

c)

75%

d)

13%

51.

Jack surveyed 240 people who either own an SUV or a sports car.

Given that the person surveyed owns an SUV, what percentage of them are male?

a)

25%

b)

75%

c)

13%

d)

65%

Algebra 1 OST Released Questions

Total questions: 51

Worksheet time: 13hrs 45mins

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