Free Printable 1st Semester Final Review (Algebra 1)

1.

Write a verbal expression for:

2a+6

a)

6 more than the product of 2 and a number

b)

6 less than the product of 2 and a number

c)

6 more than the quotient of 2 and a number

d)

twice a number plus 6

2.

What word phrase can you use to represent "5x + 2"?

a)

5 times a number plus 2

b)

2 more than the product of 5 and a number

c)

a number times the sum of 5 and 2

d)

the sum of 5 times a number and 2

3.

the quotient of a number and twelve

a)

x + 12

b)

x - 12

c)

12/x

d)

x/12

4.

Translate this phrase into an algebraic expression.

The difference of 3 times a number and 7

Use the variable n to represent the unknown number.

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

5.

Simplify the following expression if x = 8 and y = -3

x² - xy

a)

88

b)

40

c)

-8

d)

-24

6.

What is the value of the expression

x² + y² + x - y

when x = -1 and y = 3?

a)

6

b)

8

c)

12

d)

16

7.

a)

84

b)

46

c)

73

d)

81

8.

a)

0

b)

-1

c)

100

d)

1

9.

a)

21

b)

25

c)

18

d)

72

10.

3(5 + 3x) - 4x

a)

-x + 8

b)

7x + 15

c)

5x + 15

d)

7x + 8

11.

Simplify the Expression.
9z - 21 - 3z + 10

a)

Simplified

b)

9z - 21 - 7

c)

9z - 11 -3z

d)

6z - 11

12.

x²+2−1+6x²−4x²

a)

x ² -1

b)

x² +1

c)

3x² +1

d)

x ²+3

13.

3(2x+1)+2(x-4)

a)

8x-3

b)

8x+11

c)

4x-5

d)

8x-5

14.

Simplify the expression.

6(2a+5b)+3(a-8b)

a)

15a+6b

b)

21ab

c)

5a

d)

15a-6b

15.

Solve the following equation

X + 8 = 15

a)

23

b)

-7

c)

7

d)

-23

16.

Solve the following equation
1 + a = 15

a)

14

b)

16

c)

12

d)

- 16

17.

Solve the following equation
18 = 3b

a)

15

b)

6

c)

21

d)

54

18.

Solve the following equation
c / 4 = 4

a)

1/4

b)

8

c)

1

d)

16

19.

Solve the equation:
$-8x=-32$

a)

4

b)

40

c)

6

d)

5

20.

Solve the equation:
$\frac{x}{-2}=-4$

a)

22

b)

9

c)

8

d)

6

21.

Solve the equation:
$-5x=25$

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

22.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

23.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

24.

3 + (¹∕₄)a = 31

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

25.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

26.

-1/3y-6=-11

a)

15

b)

35

c)

-15

d)

35

27.

Level 4

Solve for z

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

28.

Level 3

Solve for w

a)

w = 2

b)

w = 4

c)

w = 6

d)

w = 8

29.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

30.

2 + 14a = -8 + 9a

a)

-2

b)

3

c)

5

d)

-10

31.

0.75 + 2(a - 0.5) = 3a - 0.4

a)

0.15

b)

5

c)

1.5

d)

3.75

32.

Solve the equation:
½ (2x + 6) = 3x + 13

a)

no solution

b)

x = 8

c)

x = -5

d)

x = 7

33.

Solve the equation:
4 - 6x - 2= -2(3x-1)

a)

no solution

b)

infinitely many solutions

c)

x = ⅓

d)

x = 4

34.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

35.

Describe the solution set:
2(x + 5) = 2x + 5

a)

one solution

b)

no solution

c)

infinitely many solutions

d)

two solutions

36.

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

a)

no solution

b)

infinite solutions

c)

x = 6

d)

x = 0

37.

-(8n - 2) = 3 + 10(1 - 3n)

a)

n = 1/2

b)

n = -1/2

c)

n = 2

38.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

39.

8x + 4y= 16 for y

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

40.

Solve for s:
2s = 6t + 8w

a)

s = 12t + 16w

b)

s = 6t + 4w

c)

s = 3t - 4w

d)

s = 3t + 4w

41.

M= i + r ; solve for r

a)

M-i

b)

M+i

c)

-M-r

d)

-M+i

42.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

43.

^{What is the x- intercept of the line?}

a)

x = 1

b)

x = 2

c)

x = -1

d)

x = -2

44.

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 = -2

y -int = 5

45.

Which graph represents the equation $y=4x-1$

a)

b)

c)

d)

46.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

47.

Which graph represents $2x-5y=-10$

a)

b)

c)

d)

48.

Which graph represents $y=-\frac{3}{2}x+4$

a)

b)

c)

d)

49.

Which graph represents the equation $x+5y=5$

a)

b)

c)

d)

50.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

51.

What is the equation of the graph?

a)

y = - 3

b)

x = -3

52.

Convert from Standard Form to Slope-Intercept Form.

$6x-7y=-35$

a)

$y=\frac{7}{6}x-5$

b)

$y=\frac{6}{7}x+5$

c)

$y=\frac{5}{7}x\ -6$

d)

$y=-\frac{6}{7}x\ -5$

53.

Find the slope when given (2, 3) (3, 5)

a)

1/2

b)

2

c)

-2

d)

4

54.

Find the slope given the following points:
(-1, 2) (3, 5)

a)

Zero

b)

7/4

c)

3/4

d)

undefined

55.

Find the slope when given the following points.
(2, 5) (-3, 5)

a)

-2

b)

0

c)

Undefined

d)

4/3

56.

What's the slope of the line that passes through (2, -1) and (2, -5)

a)

1/2

b)

Zero

c)

3

d)

Undefined

57.

What is the slope of the line?

a)

Undefined

b)

Zero

c)

-1

d)

2

58.

Find the slope of the line that passes through the given two points:

( 6 , - 6 ) and ( -4 , 0 )

(a)

59.

Find the slope of the line that passes through the given two points:

( 13 , 0 ) and ( 9 , - 4 )

(a)

60.

What is the 7th term in the sequence

7, 11, 15, … ?

a)

30

b)

31

c)

32

d)

33

61.

What is the common difference inthe sequence -7, -5, -3, -1, … ?

a)

1/2

b)

-1/2

c)

2

d)

-2

62.

The 6th term in the arithmetic sequence

18, 11, 4, …

a)

-3

b)

-10

c)

-17

d)

-24

63.

Find a₂₀ in the arithmetic sequence: 5, 12, 19, 26...

First Term is 5, and Common Difference is 7.

(Hint: Use $A_n=A_1+d\left(n-1\right)$

a)

145

b)

144

c)

142

d)

138

64.

Write the equation of the line in slope-intercept form using the given slope (m) and y-intercept (b):

$slope=-\frac{3}{4}$
$y-intercept=-11$

a)

$y=-\frac{3}{4}x-11$

b)

$y=-11x-\frac{3}{4}$

c)

$y=-\frac{3}{11}x\ +4$

d)

$y=\frac{3}{4}x+11$

65.

Write the linear equation that is solved by both (−6, 2) and (0, 4):

a)

y = (1/3)x + 4

b)

y = (-1/3)x + 4

c)

y = -3x + 4

d)

y = 3x + 4

66.

Which equation has a line that would pass through both (8, 5) and (9, −1) ?

a)

y = 6x + 53

b)

y = −6x - 53

c)

y = (−4/5)x + 53

d)

y = −6x + 53

67.

Write an equation of a line with the given slope m and y-intercept b: m = –5, b = –6

a)

y = 5x - 6

b)

y = -5x + 6

c)

y = -6x - 5

d)

y = -5x - 6

68.

Convert the equation to slope-intercept form: y + 4 = 4/5 ( x - 5 )

a)

y = 4/5x - 8

b)

y = 4/5x + 8

c)

y = 4/5x - 4

d)

y = 4/5x + 4

69.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

70.

Write the equation of a line PERPENDICULAR to y = -2x + 1 and passes through the point (2, 3).

a)

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

b)

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

c)

$y=-2x+7$

d)

$y=-2x+8$

71.

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

a)

The more books students read, the lower their English grade.

b)

The more books students read, the higher their English grade.

c)

The fewer books students read, the higher their English grade.

d)

No relationship exists between the number of books students read and their English grades.

72.

What type of association does this scatter plot show?

a)

positive linear association

b)

negative linear association

c)

no association

d)

nonlinear association

73.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

74.

Number of steps taken per day and number of kilometers walked per day. $r=.92$

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

75.

Temperature of a rubber band and distance the rubber band can stretch. $r=.84$

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

76.

Car weight and distance traveled using a full tank of gas. $r=-.86$

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

77.

Score on science exam and number of words written on the essay question. $r=.28$

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

78.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

79.

Solve the inequality.
- 3(9 + x) ≥ - 21

a)

x ≤ 2

b)

x ≥ 2

c)

x ≥ - 2

d)

x ≤ - 2

80.

Solve the following inequality:
$2\left(3-6x\right)>2\left(-5x-6\right)$

Type your answer using the following order:
variable--symbol--numerical value (for example: x<7)

(a)

81.

Match the graph with its inequality.

a)

c > 9

b)

c < 9

c)

c ≥ 9

d)

c ≤ 9

82.

What inequality does the number line graph represent

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

83.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

84.

Which graph matches the inequality
x < -2.8?

a)

A

b)

B

c)

C

d)

D

85.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

86.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

87.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

88.

y = -6x + 5
-2x + y = 5

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

89.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

90.

Solve by elimination:
-9x-4y=-20

5x+4y=4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

91.

Solve by elimination:
7x+y=-9

-3x-y=5

a)

No solution

b)

(1,8)

c)

(-2,-3)

d)

(-1,-2)

92.

Solve by elimination:
7x+y=-9

-3x-y=5

a)

No solution

b)

(1,8)

c)

(-2,-3)

d)

(-1,-2)

93.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

94.

Solve by elimination:
-9x-4y=-20

5x+4y=4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

95.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

96.

Solve by elimination:
4x + 8y = 20
−4x + 2y = −30

a)

(-1, 7)

b)

(-7, 1)

c)

(7, -1)

d)

(1, -7)

97.

Solve by elimination:
2x - 3y = -6
-2x - 2y = 26

a)

(-9,-4)

b)

(9,4)

c)

(4,9)

d)

(-4,-9)

98.

Solve by elimination:
x + 9y = 8
-6x - 9y = -3

a)

(1,-1)

b)

(1,1)

c)

(-1,1)

d)

(-1,-1)

99.

Solve this system of equation

y = 8x + 1

y = 6x + 3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(2, 4)

100.

Solve by elimination:

7x-9y=29

7x+2y=-15

a)

(-4,-1)

b)

(-1,-4)

c)

(-1,4)

d)

(-1,6)

101.

Solve by elimination:
7x + y = -9
-3x - y = 5

a)

No solution

b)

(1,8)

c)

(-2,-3)

d)

(-1,-2)

102.

Solve the system of equations below:

$2x+3y=4$

3x-2y=19

a)

$\left(5,-2\right)$

b)

$\left(-5,-2\right)$

c)

$\left(-5,2\right)$

d)

$\left(5,2\right)$

103.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.

12,10,10,10,13,12,11,13,10

a)

10

b)

11

c)

12

d)

13

104.

The height of three basketball players is 210 cm, 220 cm and 191 cm.

What is their average (MEAN) height?

a)

210

b)

207

c)

220

d)

200

105.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the MEDIAN of Roger's scores?

a)

172

b)

127

c)

193

d)

155

106.

Determine the shape that best matches the histogram:

a)

Skewed Left

b)

Approximately Normal

c)

Skewed Right

d)

None of the above

107.

Determine the shape that best matches the histogram:

a)

Skewed Left

b)

Approximately Normal

c)

Skewed Right

d)

None of the above

108.

Determine the shape that best matches the histogram:

a)

Skewed Left

b)

Approximately Normal

c)

Skewed Right

d)

None of the above

109.

Determine the shape that best matches the histogram:

a)

Skewed Left

b)

Approximately Normal

c)

Skewed Right

d)

None of the above

1st Semester Final Review (Algebra 1)

Total questions: 109

Worksheet time: 27hrs 15mins

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