Free Printable Algebra 1 Semester 1 Final Exam Review

1.

Select all: Natural Numbers

a)

4.5

b)

5

c)

-2

d)

0

e)

7,652

2.

Select all: Integers

a)

4.2

b)

4

c)

-4.2

d)

4/3

e)

-2

3.

Select all: Which categories does the number 3.7 belong to?

a)

Real numbers

b)

Rational numbers

c)

Integers

d)

Whole numbers

e)

Natural numbers

4.

Select all: Which categories does the number zero belong to?

a)

Rational number

b)

Integer

c)

Whole number

d)

Natural number

5.

Which of the following is NOT an irrational number?

a)

$\sqrt[]{16}$

b)

5.58703...

c)

$\sqrt[]{96}$

d)

$\pi$

6.

Which of the following is NOT a natural number?

a)

12

b)

3,000

c)

5

d)

0

7.

a number added to 19

a)

19 - n

b)

19 + n

c)

19/n

d)

19n

8.

the quotient of a number and twelve

a)

x + 12

b)

x - 12

c)

12/x

d)

x/12

9.

4(8) ÷ (8 − 6)

a)

-2

b)

18

c)

-1

d)

16

10.

8 less than a number

a)

N - 8

b)

8 - N

c)

8 + N

d)

N + 8

11.

Simplify:

20y + 19y - 2x + 3x + 2

a)

39x + y + 2

b)

29y - x + 2

c)

39 + 1x

d)

x + 39y + 2

12.

Simplify:

10x + 7 - 2x - 2

a)

-12x - 9

b)

-8x - 5

c)

-8x + 5

d)

8x + 5

13.

-3(x + 4) + 6x

a)

3x - 4

b)

3x + 4

c)

-3x + 12

d)

3x - 12

14.

6(3x + 5) + 2(x - 4)

a)

11x + 22

b)

20x + 22

c)

20x + 1

d)

18x + 26

15.

-3(x - 2) + 8(2x + 1)

a)

13x + 14

b)

13x + 2

c)

13x - 2

d)

7x + 14

16.

-(4x - 3) + 2(x + 5)

a)

-2x + 7

b)

2x - 13

c)

-2x - 7

d)

-2x + 13

17.

-(4x - 3) + 2(x + 5)

a)

-2x + 7

b)

2x - 13

c)

-2x - 7

d)

-2x + 13

18.

Evaluate x/y + xy if x = 21 and y = 3?

a)

63

b)

65

c)

67

d)

70

19.

If b = 4 and c = 5, what is the value of bc + b - c?

a)

20

b)

16

c)

18

d)

19

20.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

21.

Solve for x.

$\frac{2x\ -6}{4}=9$

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 21

22.

Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)

a)

3

b)

-3

c)

-5

d)

5

23.

Solve for c:

a)

c = -1

b)

c = 5/2

c)

c = 1

d)

c = 22

24.

Solve for n:

a)

n = -1

b)

n = -17/5

c)

n = 2

d)

no solution

25.

|−4 + 5x| = 16

a)

{16/5,12/5}

b)

{4,-5}

c)

{-12/5, 4}

d)

4

26.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

27.

Solve for p. 9|9 - 2p| = 81

a)

p = 0, p = -9

b)

p = -63/2, p = 99/2

c)

p = 0, p = 9

d)

No Solution

28.

Solve for x
l 5x l = 40

a)

x = 8 and x =-8

b)

x = 35 and x = -35

c)

Only x = 8

d)

No Solution

29.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

30.

5z - 2 - 2z < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

31.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

32.

Solve and graph.
k - 13 > -51

a)

A

b)

B

c)

C

d)

D

33.

Solve the inequality.

$-5x\ -\ 7\ <\ 28$

a)

x > -7

b)

x < -7

c)

x > $\frac{21}{5}$

d)

x < $\frac{-21}{5}$

34.

−6 < 2t − 5 < 3

a)

−0.5 < t < 1

b)

0.5 < t < −1

c)

−11/2 < t < 2

d)

11/2 < t < −2

35.

Could x = 3 be solution to the inequality
6 < x + 5 ≤ 11?

a)

Yes

b)

No

36.

Solve the following compound inequality:

−4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > −5 or x ≤ 4

b)

x ≥ −5 or x < 4

c)

x > −5 and x ≤ 4

d)

x ≥ −5 and x < 4

37.

Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21?

a)

yes

b)

no

38.

Which graph is the graph of the following Compound Inequality?

$x\le-2\ \ or\ \ x\ >5$

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

39.

Which graph is the graph of the following Compound Inequality?

$-5<x-4<2$

a)

Graph a.

b)

Graph b.

c)

Graph c.

d)

Graph d.

40.

Which compound inequality is graphed above?

a)

x >5 OR x< -2

b)

x >5 OR x> -2

c)

x< 5 AND x> -2

d)

x ≥5 AND x< -2

41.

Solve the following equation for "a"

-2\left(3a\ -\ 2\right)\ =\ \frac{1}{3}\left(7\ -\ 3a\right)

a)

$-\frac{1}{3}$

b)

$\frac{1}{3}$

c)

3

d)

-3

42.

a)

A

b)

B

c)

C

d)

D

43.

Solve each compound inequality and graph its solution.

a)

A

b)

B

c)

C

d)

D

44.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

45.

Solve:
3 | 2x + 7| - 7 < -4

a)

x < -3 and x > -5/3

b)

x < -3 and x > -4

c)

all real numbers

d)

no solution

46.

a)

n > 1 or n < -7

b)

n > -1 or n < -7

c)

-7 < n < -1

d)

no solution

47.

Solve the absolute value inequality and graph.

a)

A

b)

B

c)

C

d)

D

48.

Solve the absolute Value inequality and graph.

a)

A

b)

B

c)

C

d)

D

49.

| x - 2 | > 3
Is this an "and" or an "or" problem?

a)

and

b)

or

50.

Ordered pair (3, 0) would lead me to which point?

a)

G

b)

E

c)

F

d)

A

51.

Ordered pair (-4, -4) would lead you to which plot point?

a)

H

b)

L

c)

I

d)

K

52.

What letter is at (7, -6)?

a)

D

b)

L

c)

X

d)

There is no letter at those coordinates.

53.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

54.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

55.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

56.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

57.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

58.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

59.

Find the slope from the table:

a)

-2/5

b)

5/-2

c)

5/2

d)

2/5

60.

Find the Slope

a)

No Slope

b)

3

c)

1/3

d)

Zero

61.

a)

y=1/2x + 1

b)

y=2x+1

c)

y=-3/2x-1

d)

y=-2x-1

62.

a)

y = 2/3x - 1

b)

y = 2/3x + 1

c)

y = -2/3x - 1

d)

y = -2/3x + 1

63.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

64.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

65.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

66.

Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

67.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

68.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

69.

what is the slope for the following equation 9x + 2y = 9

a)

-2/9

b)

-9/2

c)

-9

d)

9

70.

what is the slope of the following 12x - 6y = 30

a)

2

b)

-2

c)

12

d)

-12

71.

what is the slope intercept form for the equation -2x + 8y = 2

a)

y = -2x + 8

b)

y = 1/4x + 1/4

c)

y = -1/4x - 1/4x

d)

y = 2/8x + 4

72.

what is the slope intercept form of 9x - y = 9

a)

y = 9x

b)

f(x) = 9x - 9

c)

f(x) = -9x + 9

d)

y = 9

73.

Rewrite in slope intercept form.

a)

y = 11/ 4 x − 8

b)

y = 11 /4 x + 8

c)

y = 2x -4

d)

y=2x+4

74.

What is the x-intercept of
x+4y=7?

a)

(7/4, 0)

b)

(0, 7/4)

c)

(7, 0)

d)

(0,7)

75.

Name the x- and y-intercepts for the equation:
5x - 3y = 15

a)

(3, 0) and (0, -5)

b)

(0, 3) and (-5, 0)

c)

(5, 15) and (15, 3)

d)

(0, -3) and (5, 0)

76.

What are the x- and y-intercepts of the linear function given by the equation x + y = -2

a)

(-2, -2)

b)

(-2, 0) and (0, -2)

c)

(0, 0)

d)

(2, 0) and (0, 2)

77.

Write the standard form of the equation for the graph of this line.

a)

4x + 4y = -1

b)

4x + 4y = 1

c)

x/4 + y/4 = 1

d)

x + y = -4

78.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

79.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

80.

Which of the following equations match the given graph?

a)

y < 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y ≤ 2/5x + 1

d)

y ≥ -2/5x - 1

81.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

82.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

83.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

84.

Which point below is NOT a part of the solution set?

a)

(0, 0)

b)

(0, 1)

c)

(-100, -3)

d)

(5, 10)

85.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

86.

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

a)

(3, 4)

b)

(3, 0)

c)

(2, 1)

d)

(1, 1)

87.

Choose the correct inequality for this graph.

a)

b)

c)

d)

88.

What graph matches this inequality?

a)

b)

c)

d)

89.

What inequality matches the graph?

a)

b)

c)

d)

90.

What inequality matches the graph?

a)

b)

c)

d)

Algebra 1 Semester 1 Final Exam Review

Total questions: 90

Worksheet time: 5hrs 9mins

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