Free Printable Brown Algebra 1 Final Review

1.

a)

A

b)

B

c)

C

d)

D

2.

The graph represents the height of an airplane after takeoff.

Which unit would be appropriate for the rate of change in the graph.

a)

$\frac{feet}{inches}$

b)

$\frac{hours}{\min utes}$

c)

$\frac{feet}{\min utes}$

d)

$\frac{yards}{feet}$

3.

The graph represents the amount of energy bars consumed and the number of water bottles consumed.

Which unit would be appropriate for the rate of change in the graph.

a)

$\frac{calories}{energy\ bars}$

b)

$\frac{calories}{water}$

c)

$\frac{water}{energy\ bars}$

d)

$\frac{energy\ bars}{water}$

4.

a)

A

b)

B

c)

C

d)

D

e)

E

5.

Answer the following question.

a)

A

b)

B

c)

C

d)

D

6.

Answer the following question.

a)

A

b)

B

c)

C

d)

D

7.

Choose the expression that is equivalent to

2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n)

c)

2n³(10-8n²)

d)

3n(1-4n)

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

The table shows two sets of numbers: Set A and Set B.

Which value(s) of x would result in Set B being a function of the values in Set A?

a)

-5

b)

-2

c)

0

d)

4

e)

12

12.

The table shows two sets of numbers: Set A and Set B.

Which value(s) of x would result in Set B being a function of the values in Set A?

a)

-6

b)

-2

c)

0

d)

2

e)

3

13.

Simplify the expression (-3x + 4) + (8x - 5)

a)

5x - 9

b)

5x - 1

c)

11x - 1

d)

11x - 9

e)

None of these

14.

a)

A

b)

B

c)

C

d)

D

e)

E

15.

Answer the following question.

a)

A

b)

B

c)

C

d)

D

e)

E

16.

Simplify:

5\left(3x+2\right)

a)

$3x+10$

b)

$15x+10$

c)

$15x-10$

d)

$3x-10$

17.

a)

A

b)

B

c)

C

d)

D

18.

Simplify the polynomial (-3x + 4) + (8x - 5)

a)

5x - 9

b)

5x - 1

c)

11x - 1

d)

11x - 9

e)

None of these

19.

Simplify the following polynomials:

(x³-2x²+3)+(2x³+3x²-1)

a)

3x³-2x²+3x+2

b)

3x³+x²+2

c)

3x³-5x²-2

d)

3x³-x²+1

e)

None of these

20.

a)

A

b)

B

c)

C

d)

D

21.

Simplify:

5\left(3x+2\right)

a)

$3x+10$

b)

$15x+10$

c)

$15x-10$

d)

$3x-10$

22.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

23.

Simplify the expression.
x³(2x²+3x)

a)

2x⁵+3x⁴

b)

2x⁶+3x³

c)

5x⁹

d)

5x

24.

a)

A

b)

B

c)

C

d)

D

25.

Allyson rented a scooter for $12 per hour plus a $25 gas fee. She spent a total of $73 to rent the scooter. Which equation represents the number of hours, h, Allyson rented the scooter?

a)

$25h+12=73$

b)

$12h+25=73$

c)

$12h-25=73$

d)

$25h-12=73$

26.

Gavin purchases a car for $17,400. The value of the car depreciates by 12% per year. What is the approximate value of the car after 8 years?

a)

$5,380

b)

$6,258

c)

$11,142

d)

$17,304

27.

You are visiting Baltimore, MD and a taxi company charges you a flat fee of $3.00 for using the taxi and $0.75 per mile.

Which of the following equations matches the situation?

a)

0.75x + 3y = 50

b)

y = 0.75x + 3

c)

y = 3x + 0.75

d)

3x + 0.75y = 50

e)

50 = -0.75x + y

28.

a)

A

b)

B

c)

C

d)

D

29.

a)

A

b)

B

c)

C

d)

D

30.

a)

A

b)

B

c)

C

d)

D

31.

a)

A

b)

B

c)

C

d)

D

32.

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

a)

7 months

b)

6 months

c)

5 months

d)

4 months

33.

Is (2, 3) a solution?

a)

Yes

b)

No

34.

Is (-1, 1) a solution?

a)

Yes

b)

No

35.

a)

A

b)

B

c)

C

d)

D

36.

a)

A

b)

B

c)

C

d)

D

37.

a)

A

b)

B

c)

C

d)

D

38.

a)

A

b)

B

c)

C

d)

D

39.

Directions: Count the Bubbles by Numbers Then enter the Correct Numbers in Order

(a)

40.

a)

A

b)

B

c)

C

d)

D

e)

E

41.

What would be the SECOND step in solving the equation below?

$\frac{x}{5}+7\ =-12$

a)

Subtract 7 from both sides

b)

Add 12 to both sides

c)

Multiply by 5 on both sides

d)

Divide by 5 on both sides

42.

Solve:
2x + 1 = 2x - 1

a)

No Solution

b)

One Solution

c)

Infinitely Many Solutions

43.

(a)

44.

a)

A

b)

B

c)

C

d)

D

45.

Which statements are true about the line shown on the graph?

a)

The graph represents the equation $y=-4x-2.$

b)

The graph represents the equation $-4x+y=-2$

c)

TThe graph represents the equation $y=4x-2$

d)

The graph represents the equation $-12x-3y=-6$

e)

The graph represents the equation $12x-3y=6.$ .

46.

Which ordered pairs are on the graph of $f\left(x\right)=2\left(3\right)^x?$ Select all that apply.

a)

(0,2)

b)

(1,6)

c)

(2,12)

d)

(2,18)

e)

(-4, 24)

47.

What is the value of k such that (k,5) is one of the solutions to the equation -4x - 3y =17? (USE DESMOS)

What is x if y = 5?

a)

-8

b)

- $\frac{1}{2}$

c)

$\frac{1}{2}$

d)

8

48.

Which of the following points lie on the graph of the function 7x + 3y =-1. Select all that apply.

a)

(-1, 2)

b)

(3, 1)

c)

(9, 6)

d)

(2, -5)

49.

a)

A

b)

B

c)

C

d)

D

e)

E

50.

a)

A

b)

B

c)

C

d)

D

e)

E

51.

a)

A

b)

B

c)

C

d)

D

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

a)

A

b)

B

c)

C

d)

D

e)

E

55.

a)

A

b)

B

c)

C

d)

D

56.

a)

A

b)

B

c)

C

d)

D

57.

Given the table, determine the equation of the function.

a)

y = 2(½)^x

b)

y = 2x + 3

c)

y = -3x + 2

d)

y = 3(2)^x

58.

What is the vertex of the equation

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

a)

(-3, 5)

b)

(3, 5)

c)

(-3, -5)

d)

(3, -5)

59.

$y=-3(x+5)^2-4$
Which of the following is an equivalent function?

a)

y = 9x²- 15x + 21

b)

y = -3x²- 75x - 4

c)

y = 9x²+ 90x + 221

d)

y = -3x²- 30x - 79

60.

a)

A

b)

B

c)

C

d)

D

61.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

62.

(a)

63.

a)

A

b)

B

c)

C

d)

D

64.

The function $g\left(x\right)$ is graphed in the image. Which of the following has the same vertex?

a)

$q\left(x\right)=x^2-5$

b)

$h\left(x\right)=\left(x-3\right)^2+4$

c)

$p\left(x\right)=\left(x+3\right)^2+4$

d)

$f\left(x\right)=\left(x-5\right)^2+1$

65.

a)

A

b)

B

c)

C

d)

D

e)

E

66.

Count the bubbles; using Numbers, Enter the Numbers in the Correct Order

(a)

67.

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

a)

a vertical translation 4 units up

b)

a vertical translation 4 units down

c)

a horizontal translation 4 units to the left

d)

a horizontal translation 4 units to the right

68.

If the blue graph is
f(x) = x²
then the red must be...

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x - 5)²

d)

g(x) = (x + 5)²

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

A

b)

B

c)

C

d)

D

71.

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

a)

y=1400(1.09)^x

b)

y=1.09(1400)^x

c)

y=1400(.91)^x

d)

y=1.09^x

72.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(1 - 0.30)^x

b)

y=30(5000)^x

c)

y=5000(1 + 0.30)^x

d)

y=5000x^x

73.

a)

A

b)

B

c)

C

d)

D

74.

a)

A

b)

B

c)

C

d)

D

75.

a)

A

b)

B

c)

C

d)

D

e)

E

76.

a)

A

b)

B

c)

C

d)

D

77.

a)

A

b)

B

c)

C

d)

D

78.

What is the equation of the line of best fit?

a)

y= $-\frac{1}{2}x\ +\ 6$

b)

y= $\frac{1}{2}x\ +6$

c)

y= 6x + 2

d)

y = -2x +6

79.

Answer #3

a)

A

b)

B

c)

C

d)

D

80.

a)

A

b)

B

c)

C

d)

D

e)

E

81.

The equation models the relationship between t, a student’s test scores, and d, the student’s college success

d = 0.48t + 75.2. Based on this linear regression model, the correlation coefficient could be

a)

between -1 and 0

b)

between 0 and 1

c)

equal to -1

d)

equal to 0

Brown Algebra 1 Final Review

Total questions: 81

Worksheet time: 3hrs 42mins

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