FSA Algebra 1 Practice Questions - ppmhcharterschool.org

[Pages:15]FSA Algebra 1 Practice Questions

1. What is the value of such that ? < ?

A. > -

-

B. < -

-

C. > +

-

D. < -

2. What is the equation represented by the graph below?

A. = -2.5 - 2 B. = -0.4 - 2 C. = 0.5 - 2 D. = 0.4 - 2

3. The table below shows the cost of a pizza based on the number of toppings.

Number of toppings (n) 1 2

3 4

Cost (C) $12 $13.50

$15 $16.50

Which function represents the cost of a pizza with n toppings?

A. C(n) = 12 + 1.5 (n ? 1) B. C(n) = 1.5 n + 12 C. C(n) = 12 + n D. C(n) = 12 n

FSA Algebra 1 Practice Questions

4. What is the value of such that 5x + 2a > 2x - a? A. < - B. > - C. < D. >

5. What is the solution if 6(x + 2) = 6x + 14? A. all real numbers x B. no solution C. = 1

6

D. = - 1

6

6. The graph of a linear inequality in 2 variables is shown in the coordinate plane.

Which inequality models this graph? A. - 2 > 8 B. + 2 < -8 C. > 1 - 4

2

D. 1 - 4

2

7. Which sequence is generated by the rule 3n ? 1, where n represents the position of a term in the sequence?

A. 3, 6, 9, 12, 15, ... B. 4, 7, 10, 13, 16, ... C. 4, 5, 6, 7, 8, 9, ... D. 2, 5, 8, 11, 14, ...

FSA Algebra 1 Practice Questions

8. Rowan wants to justify that f(x) 3x ? 7 is a linear function. If she evaluated f(x) for consecutive integer values, which statement justifies the claim that f is a linear function?

A. There is a common difference of -7 for f(x) when x increases by 1. B. There is a common factor of -7 for f(x) when x increases by 1. C. There is a common difference of 3 for f(x) when x increases by 1. D. There is common factor of 3 for f(x) when x increases by 1.

9. Alan has a business mowing lawn for $20 per lawn and raking leaves for $0.75 per pile. His goal is to earn exactly $30 each time he mows a lawn and rakes leaves. If x represents the number of piles of leaves, which equation models Alan's goal?

A. x + 20 = 30 B. 75x + 30 = 20 C. 0.75x + 20 = 30 D. 30x + 20 = 0.75

10. For () = 3 - 5, (-5).

A. -22 B. -7 C. 3 D. 28

11. A total of 243 adults and children are at a movie theater. There are 109 more adults than children in the theater. If a represents the number of adults and b represents the number of children, which system of equations could be used to find the number of adults and the number of children in the theater?

A.

{+ =

= 243 109

B.

{+ =

= 243 109

C.

{

+ =

= +

243 109

D.

{

+ =

= +

243 109

12. Which of the following functions shows an original investment of $200?

A. = 200(1.02) B. = 5(200) C. = 3()200 D. = 2000(.5)

FSA Algebra 1 Practice Questions

13. Martha has $180. She needs a total of $2000 to start an account. She earns $60 per day working, of which she saves $50. Which equation can she use to determine the number of days, d, she needs to work to reach her goal of $2,000?

A. 2,000 = 60d + 180 B. 2,000 = 60d ? 180 C. 2,000 = 50d + 180 D. 2,000 = 50d ? 180

14. A function is shown in the table

1

2

3

4

5

6

()

15

27

39

51

63

75

Which sentence justifies the claim that the function is a linear function?

A. all the outputs are odd numbers B. all the outputs are positive numbers C. the function grows by equal factor over equal intervals D. the function grows by equal differences over equal intervals

15. An exponential function is shown in the table.

()

1

12

3

108

5

972

6

2,916

What is the average rate of change for the function for = 1 to = 5?

A. 48 B. 80 C. 81 D. 240

16. Given:

() = 3 + 3 and () = ? 4 + 1

Find () if () = () + ()

A. () = 4 B. () = 7 C. () = 7 + 4 D. () = - + 4

FSA Algebra 1 Practice Questions

17. A baker sells cookie for $1.50 each. If a minimum of two dozen cookies is ordered, the baker gives a 40% discount for each cookie ordered after the minimum has been met. The cost of an order of cookies after this discount is given by the expression below. 1.5c ? 0.4(c ? 24) Which of the following parts of the expression represents the number of cookies to which the discount will be applied?

A. 1.5 B. ? 24 C. 1.5 ? 0.4 D. 0.4( ? 24)

18. Look at the steps used when solving 3( ? 2) = 3 for .

3( ? 2) = 3

Write the original equation.

3 ? 6 = 3

Use the Distributive Property.

3 ? 6 + 6 = 3 + 6 Step 1

3 = 9 3 9 3 =3 = 3

Step 2 Step 3 Step 4

Part A: Which step is the result of the Division Property of Equality; a 0? A. Step 1 B. Step 2 C. Step 3 D. Step 4

Part B: Which step is the result of combining like terms? A. Step 1 B. Step 2 C. Step 3 D. Step 4

Part C: Which step is the result of the Addition Property of Equality? A. Step 1 B. Step 2 C. Step 3 D. Step 4

FSA Algebra 1 Practice Questions

19. Which graph represents the following equation? -2 + 4 = -12

A.

B.

C.

D.

20. Rita read a book at a steady pace. She graphs her progress through the book by putting the time in hours, t, on the horizontal axis and chapters remaining C on the vertical axis. What is the domain of the relation graphed below?

A. 0 B. 8 C. 0 < < 8 D. 0 8

FSA Algebra 1 Practice Questions

21. Given the pattern = -2 + 1, what is the value of the 5th term? A. 11 B. 12 C. -9 D. -11

22. Which of the following is NOT a solution of the equation represented by the graph?

A. (0, 2) B. (1, 0) C. (3, ?4) D. (4, ?1)

23. The data below shows cell phone bills for various numbers of minutes used.

Number of Minutes Used

300 225 200 185 100

Phone Bill $90.00 $78.75 $75.00 $72.75 $60.00

What does the slope of the line represent?

A. There is a charge of $0.15 for each minute of use. B. There is a charge of $0.45 for each minute of use. C. There is a monthly fee of $15.00 D. There is a monthly fee of $45.00

24. How many real-number solutions does 42 + 2 + 5 = 0 have?

A. One B. Two C. Zero D. Infinitely many

FSA Algebra 1 Practice Questions

25. What is the average rate of change on the interval x = 1 to x = 4?

t (sec)

1

2

3

4

5

f(t) (yards)

100

400

900 1600 2500

A. 600 yards per second B. 500 yards per second C. -500 yards per second D. -600 yards per second

26. Amelia correctly began solving the system of equations.

{9=+-33=+155

First, she wrote the second equation in standard form. Second, she multiplied the second equation by 3. Then she added the first equation with the new second equation. What does Amelia already know about the solution of the system of equations, even if she does not complete the next step?

A. It has infinite solutions. B. There is no solution. C. The value of x is 0. D. The value of y is 0.

27. A function is defined as {(0,1), (2, 3), (5, 8), (7, 2)}. Isaac is asked to create one more ordered pair for the function. Which ordered pair can he add to the set to keep it a function?

A. (0, 2) B. (5, 3) C. (7, 0) D. (1, 3)

28. Which situation is not a linear function?

A. A gym charges a membership fee of $10.00 down and $10.00 per month. B. A cab company charges $2.50 initially and $3.00 per mile. C. A restaurant employee earns $12.50 per hour. D. A $12,000 car depreciates 15% per year.

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