Free Printable Algebra I Final Exam Review

1.

Find the y-coordinate of the midpoint of the line

a)

1

b)

2

c)

-2

d)

3

2.

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

a)

(-1, 7)

b)

(2, 7)

c)

(7, -1)

d)

(2, 2)

3.

What is the perimeter of the rectangle? (Round to the nearest tenth)

a)

18

b)

about 23.6

c)

about 25.1

d)

about 21.6

4.

Find the area of the quadrilateral on the coordinate plane

a)

10 sq. units

b)

6 sq. units

c)

8 sq. units

d)

12 sq. units

5.

What is the perimeter of the shape?

a)

20 units

b)

12 units squared

c)

22 units

d)

32 units squared

6.

Use the Distance Formula to find the distance between: $\left(3,\ -2\right)\ and\ \left(-5,\ -8\right)$

(a)

7.

Use the Distance Formula to find the distance between:
$\left(2,\ 1\right)\ and\ \left(5,\ 4\right)$

Round to nearest hundredth.

(a)

8.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

9.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

10.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

11.

Linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Neither

d)

All of the above

12.

What type of function does this table represent?

a)

Linear

b)

Exponential

c)

Neither

13.

Write an equations that models the data shown.

a)

$y=3x+6$

b)

$y=3\cdot2^x$

c)

$y=2x+3$

14.

For the exponential function $f\left(x\right)=67\left(.95\right)^x$

The y-intercept (initial value) is (a) . The function is (b) by (c) . The range is (d)

Choose from the below words

67

decreasing

5%

all real numbers

0

95%

95

115

greater than 0

15.

For the exponential function $f\left(x\right)=23\left(1.5\right)^x$

The y-intercept (initial value) is (a) . The function is (b) by (c) . The range is (d)

Choose from the below words

23

increasing

50%

greater than 0

5%

15%

95

all real numbers

16.

Which equation matches this graph?

a)

b)

c)

d)

17.

Which graph matches this equation?

a)

b)

c)

d)

18.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

19.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?

a)

85

b)

92

c)

70

d)

76

20.

What are the solutions of $a^2=6a+3$ ?

a)

$a=\frac{7\pm\sqrt{129}}{2}$

b)

$a=3\pm2\sqrt{3}$

c)

$a=\frac{7\pm\sqrt{69}}{2}$

d)

$a=\frac{-7\pm\sqrt{129}}{2}$

21.

Solve: $2x^2\ =\ 9$

(a)

Choose from the below words

\pm\ \frac{9}{\sqrt[]{2}}

\pm\ \frac{3}{\sqrt[]{2}}

\pm\ \frac{2}{\sqrt[]{2}}

\pm\ 9\sqrt[]{2}

\pm\ 3\ \sqrt[]{2}

No Real Solutions

\pm\ 2\ \sqrt[]{3}

$\pm\ \frac{3\ \sqrt[]{2}}{2}$

22.

Solve by taking the square root:

4x² = 100

a)

±10

b)

±25

c)

±5

d)

5

23.

Identify the roots of the quadratic.

a)

x = {-1, 3}

b)

x = {-3}

c)

x = {1, -4}

d)

x = {1}

24.

What are the x-intercepts of the parabola?

a)

x = {0, 6}

b)

x = {-6}

c)

x = {-6, 0}

d)

x = {0}

25.

What steps transform the graph y = x² to y = 2(x+2)² - 5?

a)

Compress by 2, shifted 2 units left and 5 down

b)

Stretch by 5, shifted 5 units left and 2 down

c)

Stretch by 2, shifted 2 units left and 5 down

d)

Compress by 5, shifted 2 units left and 2 down

26.

What steps transform the graph y = x² to y = x² + 8

a)

shifted up 8 units

b)

shifted down 8 units

c)

shifted left 8 units

d)

shifted right 8 units

27.

f(x) = -4x²+6x + 1

a)

max

b)

min

28.

Maximum or Minimum?

$y=2\left(x-3\right)^2+6$

a)

Max = -3

b)

Min = 3

c)

Min = 6

d)

Max = 6

29.

$y\ =\ 8x^2\ -\ 5$ What type of function is:

a)

Linear

b)

Quadratic

c)

Cubic

d)

Absolute Value

30.

$y\ =\ x^2\ -x\ +\ 10$
What type of function is this?

a)

Linear

b)

Quadratic

c)

Cubic

d)

Absolute Value

31.

Select ALL of the linear equations

a)

y = -4x + 8

b)

$y=3^x+7$

c)

$y=4x^2+3x-8$

d)

y = 9

e)

$y=.5^x+8$

32.

Select ALL of the exponential equations

a)

$y=-4x^2+8$

b)

$y=3^x+7$

c)

$y=4x^2+3x-8$

d)

y = 9

e)

$y=.5^x-8$

33.

Select ALL of the quadratic equations

a)

$y=-4x^2+8$

b)

$y=3^x+7$

c)

$y=4x^2+3x-8$

d)

y = 9

e)

$y=.5^x-8$

34.

Which is another way of correctly expressing
(x - 3)(x - 3)?

a)

(x² - 3²)

b)

(x² - 3)

c)

(x + 3)(x - 3)

d)

(x - 3)²

35.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

36.

Factor completely.
3x²- 9x -120

a)

3(x - 8)(x + 5)

b)

3(x + 8)(x - 5)

c)

(3x + 8)(x - 5)

d)

(3x - 8)(x + 5)

37.

Find the product: (3e – 1)(e + 5)

a)

3e² + 4e + 5

b)

3e² + 4e - 5

c)

3e² + 14e + 5

d)

3e² + 14e - 5

38.

Simplify.
$\left(8+6k-5k^2\right)-\left(8-7k^4+3k\right)$

a)

$6k^4-10k^2+3k$

b)

$6k^4-5k^2+3k$

c)

$6k^4-10k^2$

d)

$7k^4-5k^2+3k$

39.

Simplify.
$\left(m^2-m+3\right)-\left(2m-6-m^2\right)$

a)

$-10m^2-3m+9$

b)

$-5m^2-3m+9$

c)

$-10m^2-4m+9$

d)

$2m^2-3m+9$

40.

The graph of an exponential function is shown on the grid. Based on the graph, which statement about the function is true?

a)

The range is the set of all real numbers less than 0.

b)

The domain is the set of all real numbers greater than -4.

c)

The range is the set of all real numbers greater than 0.

d)

The domain is the set of all real numbers less than -4.

41.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

42.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

43.

a)

x > -3 or x > 1

b)

x < -3 or x < 1

c)

x ≥ 3 and x ≤ 1

d)

x > -3 and x < 1

44.

Which graph best represents the solution set of $y\ge\frac{2}{3}x+1$

a)

b)

c)

d)

45.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

46.

The line with the equation

$y+1=-3(x-5)$ ,

and has a slope of (a)

Choose from the below words

$-3$

$3$

$1$

$-5$

47.

The line with the equation

$y+1=-3(x-5)$ ,

contains the point

a)

$\left(5,-1\right)$

b)

$\left(-5,1\right)$

c)

$\left(5,1\right)$

d)

$\left(1,5\right)$

48.

Write the equation that best matches the graph shown.

a)

y = 4x

b)

y = 4x - 3

c)

y = 4/3 x + 4

d)

y = 4/3 x - 3

49.

Find the slope of the line that passes through:
(-2, 8) and (0, 8)

a)

0

b)

-2

c)

2

d)

1/2

50.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

51.

Given h(x) = 5 - 9x, find h(8).

52.

$7x+8=29$

The first step to solve this equation is to (a) . The next step is to (b) . The answer is (c) .

Choose from the below words

subtract 8

divide 7

x=3

add 8

multiply 7

subtract 7

x=2

x=5.2

x=7

divide 8

53.

Identify the property:

6 + (21 + 3) = (6 + 21) + 3

a)

Commutative Property

b)

Distributive Property

c)

Inverse Property

d)

Associative Property

54.

which demonstrates the associative property?

a)

0 + 11 = 11

11 + 0 = 11

b)

5 + 6 + 3 = 3 + 5 + 6

c)

(5+3)+ 6= (6+3)+5

d)

11-2=7+2

55.

$12\cdot\frac{1}{12}=1$

a)

Identity Property of Multiplication

b)

Associative Property of Multiplication

c)

Commutative Property of Multiplication

d)

Inverse Property of Multiplication

56.

Which is an example of a COEFFICIENT?

a)

9x

b)

3

c)

c

d)

x+4

57.

Which of these is an example of a CONSTANT?

a)

4x

b)

12

c)

4x+3=24

d)

11+2x

58.

Which of these is an example of a TERM?

a)

v-2=7

b)

3b+4

c)

9n

d)

2=n+7

59.

Match the following

a)

Constant

1.

Term with no variable.

b)

Coefficient

2.

Comes before the variable

c)

Standard Form

3.

Equation in Highest to lowest exponent

d)

Degree

4.

Highest exponent

e)

Term

5.

Made up of numbers and variables

60.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

61.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

62.

Match the inequality with the number line

a)

x > -2

b)

x ≥ -2

c)

x < -2

d)

x ≤ -2

63.

Which of the following represents

x > 5

a)

A

b)

B

c)

C

d)

D

64.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

65.

Which of these represents how to find the slope from two points?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

(y₂ - y₁) / (x₂ - x₁)

66.

Which of these represents standard form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

(y₂ - y₁) / (x₂ - x₁)

67.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

(y₂ - y₁) / (x₂ - x₁)

68.

Solve for the variable w in the following equation:

12 + 6w - 7w = 3w - 2w

a)

w = 6

b)

w = -16

c)

w = -5

d)

w = 4

69.

Solve for the variable x in the following equation:

3(x-6)+2x=22

a)

x=8

b)

x=2

c)

x=18

d)

x=3

70.

What is the perimeter of the figure shown here?

a)

9x² - 6

b)

9x² - 12x - 6

c)

9x⁴ - 6

d)

9x⁴ - x - 6

Algebra I Final Exam Review

Total questions: 70

Worksheet time: 3hrs 44mins

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