Free Printable Algebra 1 H EOC Review

1.

a)

A

b)

B

c)

C

d)

D

e)

E

2.

a)

A

b)

B

c)

C

d)

D

e)

E

3.

a)

A

b)

B

c)

C

d)

D

e)

E

4.

a)

A

b)

B

c)

C

d)

D

e)

E

5.

Identify the property:

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

a)

Commutative Property

b)

Distributive Property

c)

Inverse Property

d)

Associative Property

6.

Which demonstrates the identity property?

a)

12 + 6 = 6 + 12

b)

180 + 0 = 180

c)

(6+12) + 2 = (2+6) + 12

d)

12 + 3 + 0 = 0 + 12 +3

7.

Using the commutative property, what would be the equivalent expression for
5 + 6 = ?

a)

6 + 5

b)

5 + 6

c)

11

8.

Are these two expressions equivalent?
6 – (4 – 1) and (6 – 4) – 1

a)

Yes, because of the associative property

b)

Yes, because of the commutative property

c)

Yes, because of the distributive property

d)

No, these two expressions are not equivalent

9.

5/1 x 1/5 = 5

a)

Multiplicative inverse

b)

Mult. Prop. of 0

c)

Multiplicative identity

d)

substitution

10.

What is the cube root of 8?

a)

4

b)

2

c)

-2

d)

-4

11.

What is the cube root of 125?

a)

5

b)

-5

c)

25

d)

-25

12.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

13.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

14.

Simplify: $\sqrt{24}$

a)

$2\sqrt{6}$

b)

$4\sqrt{6}$

c)

$2\sqrt{12}$

d)

$3\sqrt{8}$

15.

Simplify $\sqrt{50}$

a)

$2\sqrt{5}$

b)

$25\sqrt{2}$

c)

$5\sqrt{2}$

d)

$10\sqrt{2}$

16.

What is the first step in solving this problem:
-12 ÷ 6 (-3) + 8

a)

multiplication

b)

addition

c)

division

d)

subtraction

17.

Solve the following:
-12 ÷ 6 (-3) + 8

a)

-14

b)

2

c)

-22

d)

3

18.

Solve the following equation.
4x + 3 = -5

a)

1/2

b)

-1/2

c)

-2

d)

2

19.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

20.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

21.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

22.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

23.

Match the graph with its inequality. hint: don't be tricked by the variable on the right.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

24.

Which graph represents a function?

a)

b)

c)

d)

25.

Which of the relations below is a function?

a)

{(2, 3), (3, 4), (5, 1), (2, 4)}

b)

{(2, 3), (3, 4), (6, 2), (7, 3)}

c)

{(2, 3), ( 3, 4), (6, 2), (3, 3)}

26.

The graph of a relation is shown at the right. Is this relation a function?

a)

Yes

b)

No

c)

Cannot be determined from a graph

27.

The graph of a relation is shown below. Is the relation a function?

a)

Yes

b)

No

c)

Cannot be determined from a graph

28.

a)

Function

b)

Not a Function

29.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D:{0, 1, 2, 3}
R:{0, 1, 2, 3, 4}

30.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

31.

What is the Domain of this linear function?

a)

-6 ≤ x ≤ 6

b)

0 ≤ x ≤ 7

c)

2 ≤ x ≤ 7

d)

No Solution

32.

Is the sequence arithmetic: -3, 3, -3, 3, ...

a)

Yes

b)

No

33.

Is the sequence arithmetic: 17, 9, 1, -7, ...

a)

Yes

b)

No

34.

What is another name for the x-intercepts of a quadratic?

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

35.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

36.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

37.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

38.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

39.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

40.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

41.

Identify the form of the following linear equation:

y=3x-2

a)

Standard Form

b)

Slope - Intercept Form

c)

Neither

42.

Identify the form of the following linear equation:

5x+3y=15

a)

Standard Form

b)

Slope - Intercept Form

c)

Neither

43.

Which graph represents $4x-3y=12\$ ?

a)

b)

c)

d)

44.

Given the equation: $6x-3y=12$
What is the y-intercept?

a)

-4

b)

6

c)

-3

d)

4

45.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

46.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

47.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

48.

Give the y-interecept
3x + y = 5

a)

(-3, 0)

b)

(0,5)

c)

(5, 0)

d)

(0, -3)

49.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

50.

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

51.

What type of association does this graph show?

a)

Positive

b)

negative

c)

none

d)

all of the above

52.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

53.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

54.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

55.

a)

direct variation

b)

inverse variation

c)

neither direct nor inverse variation

56.

a)

direct variation

b)

inverse variation

c)

neither direct nor inverse variation

57.

The equation
xy = 25 represents:

a)

direct variation

b)

inverse variation

c)

joint variation

d)

none of these

58.

a)

direct variation

b)

inverse variation

c)

joint variation

d)

none of these

59.

a)

direct variation

b)

inverse variation

c)

joint variation

d)

none of these

60.

Solve this system by substitution.

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

61.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

62.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

63.

Which is the best method to use?

y = 6x − 11

−2x − 3y = −7

a)

Graphing

b)

Substitution because a variable is isolated.

c)

Elimination because both equations are in standard form.

64.

Solve for x and y.
y = 2/3x - 2
y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

65.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

66.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

67.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

68.

Select the graph for 5x+ y ≤ -1 .

a)

A

b)

B

c)

C

d)

D

69.

Simplify.

a)

10x⁹

b)

24x¹⁴

c)

24x⁹

d)

10x¹⁴

70.

Simplify.

(2n⁴ )( 5n⁴⁾

a)

7n⁴

b)

10n¹⁶

c)

10n⁸

d)

none of the above

71.

Simplify.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

72.

Simplify.

a)

-9a³

b)

-9a⁶

c)

-24a⁶

d)

30a⁶

73.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

74.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

75.

Which of these are like terms in the following expression:
(3x + 7 - 9x) + (24y + 2x²)

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

76.

(5x+1)(x+4)

a)

5x² + 19x − 4

b)

5x² + 21x + 4

c)

5x² + 4

d)

5x² − 19x − 4

77.

Simplify the expression.
x³(2x²+3x)

a)

2x⁵+3x⁴

b)

2x⁶+3x³

c)

5x⁹

d)

5x

78.

a)

x⁸y⁴√x

b)

x⁸y⁸√x

c)

x^8.5y⁸

d)

x¹⁰y⁸√7

79.

a)

xy√y

b)

x²y²√y

c)

xy√xy

d)

2x2y√y

80.

a)

x⁵y¹⁰√xy

b)

x³√y¹⁰

c)

x⁶y²⁰

d)

x³y¹⁰

81.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

82.

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

83.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

84.

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

85.

What is the standard form formula?

a)

y=mx+b

b)

y=ax²+bx+c

c)

y=a(x-h)2+k

86.

What is the vertex form formula?

a)

y=ax²+bx+c

b)

y=mx+b

c)

y=a(x-h)2+k

87.

Is the graph shown above a max or min?

a)

Maximum

b)

Minimum

88.

What is the domain of the graph shown above.

a)

x=19

b)

all real numbers

c)

y=3

d)

Maximum

89.

What is the vertex of the graph shown above?

a)

(7,6)

b)

(-1,2)

c)

(2,-1)

d)

(5,0)

90.

Graph the following equation:

y=x²-2x-3

a)

b)

c)

d)

91.

Describe the transformations below: $\left(x+1\right)^2-4$

a)

left: 1, up: 4

b)

left: 1, down: 4

c)

right: 1, up: 4

d)

right: 4, up: 1

92.

Describe the transformation below: $-\left(x+3\right)^2+6$

a)

reflect over the x-axis

b)

reflect over the x-axis, left: 3, up: 6

c)

stretch, left: 3, down: 6

d)

left: 3, down: 6

93.

Describe the transformation below: $-3\left(x+4\right)^2-1$

a)

stretch by 3, right: 4, down: 1

b)

reflect over the x-axis, right: 4, down: 1

c)

reflect over the x-axis, stretch by 3, left: 4, down: 1

d)

stretch by 4, down: 3, left: 1

94.

Charlie is solving $3x^2+5x=12$ by factoring. Which of the following describes what his first step should be?

a)

A.

Divide both sides f the equation by 3.

b)

B.

Take the square root of both sides of the equation.

c)

C.

Subtract 12 from both sides of the equation.

d)

D.

Find two values with a sum of 5 and a product of 12.

95.

What are the solutions to $x^2+16x=8$ ?

a)

A.

$x=8\pm6\sqrt[]{2}$

b)

B.

$x=-16\pm2\sqrt[]{14}$

c)

C.

$x=-8\pm6\sqrt[]{2}$

d)

D.

$x=-8\pm2\sqrt[]{14}$

96.

Find all the solutions for x when

x²+ 9x - 36 = 0

a)

A.

(x + 12)(x - 3)

b)

B.

x = 12 and x = -3

c)

C.

x = -12 and x = 3

d)

D.

(x - 9)(x - 4)

Algebra 1 H EOC Review

Total questions: 96

Worksheet time: 4hrs 15mins

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