Free Printable Algebra I Midterm Review

1.

What value of p will make this equation true?

a)

-10

b)

-6

c)

2

d)

10

2.

What is the slope of the line x - 4y = 24?

a)

-6

b)

1/4

c)

-1/4

d)

4

e)

6

3.

Simplify Completely

a)

b)

c)

d)

4.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

5.

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

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

6.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

7.

Which equation is parallel to:
y = 5/7x +2

a)

y = -7/5x +1

b)

y = 7/5x +4

c)

y = -5/7x -3

d)

y = 5/7x +5

8.

a)

x = -1

b)

x = 1

c)

y = -1

d)

y = -1

9.

a)

y = 5

b)

x = 5

c)

x = -5

d)

y = -5

10.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

11.

Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?
WRITE a system where T= # of $20 and F = # of $50.

a)

T + F = 1430
20T + 50F = 49

b)

T+ F = 49
10T + 5F = 1430

c)

T + F = 49
20T + 50F = 1430

d)

T + F = 49
T + F = 1430

12.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

13.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

14.

What inequality does the number line graph represent?

a)

x > 4

b)

x > -4

c)

x < 4

d)

x >= -4

15.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

16.

Select the correct graph for the inequality.

a)

A

b)

B

c)

C

d)

D

17.

Look at this equation.
5( x + 3 ) + 2x = 11
Which value of x is the solution of the equation?

a)

-4/7

b)

-26/7

c)

26/7

d)

4/7

18.

Which graph represents the solution set of -4x + 3 < 7

a)

A

b)

B

c)

C

d)

D

19.

What is the solution set to the compound inequality -7 < 2x - 5 < 7

a)

-1 < x < 6

b)

-6 < x < 1

c)

no solution

d)

infinitely many solutions

20.

f(x) = x² - 4
Find f(-3).

a)

-5

b)

5

c)

-13

d)

13

21.

In order to pay rent, I must earn AT LEAST $430 per month. I make an up-front amount of $50 per every month plus an additional $12 per hour. Which inequality represents the situation?

a)

12 + 50x ≥ 430

b)

50 + 12x ≥ 430

c)

12 + 50x ≤ 430

d)

50 + 12x ≤ 430

22.

Find the perimeter by combining like terms.

a)

4x+8

b)

4x-2

c)

3x-2

d)

2x+8

23.

Which of the following is an example of the distributive property?

a)

(2)(x) = 2x

b)

x = x

c)

4(x+3) = 4x + (4)(3)

d)

3+5 = 5+3

24.

a)

-19.575

b)

-18.825

c)

-16.3125

d)

-15.6875

25.

a)

$\frac{6}{11}$

b)

2

c)

$\frac{-10}{7}$

d)

-2

26.

a)

$x\ >\ 9$

b)

$x\ >\ -\frac{3}{5}$

c)

$x\ <\ 9$

d)

$x\ <\ -\frac{3}{5}$

27.

a)

$x\le3$

b)

$x\ge3$

c)

$x\le-11$

d)

$x\ge11$

28.

a)

$h<14$

b)

$h>14$

c)

$h<\frac{14}{5}$

d)

$h>\frac{14}{5}$

29.

a)

b)

c)

d)

30.

a)

(0, 2)

b)

(5, 3)

c)

(7, 0)

d)

(1, 3)

31.

a)

11

b)

17

c)

27

d)

33

32.

a)

I and II, only

b)

I and III, only

c)

II and III, only

d)

I, II, and III

33.

a)

b)

c)

d)

34.

(a)

35.

(a)

36.

a)

b)

c)

d)

37.

a)

b)

c)

d)

38.

a)

b)

c)

d)

39.

a)

b)

c)

d)

40.

a)

$y\le2x-3$

b)

$y\ge2x-3$

c)

$y\le-3x+2$

d)

$y\ge-3x+2$

41.

a)

b)

c)

d)

42.

Solve for n

a)

4

b)

3

c)

1/34

d)

34

43.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

44.

Given the line 2x-3y=9, write the equation of a line parallel to it that passes through the point (4, -1)

a)

y = 2/3x - 3

b)

y = 2/3x - 11/3

c)

y = 2/3x - 4

d)

y = 2/3x - 5/3

45.

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

46.

Write an equation of a line in point-slope form with a slope of 6 that goes through (11, 5)

a)

y-5=6(x-11)

b)

y-11=6(x-5)

c)

y+5=6(x+11)

d)

y+11=6(x+5)

47.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

48.

What is the y intercept?
y = 2x - 3

a)

3

b)

-3

c)

1

d)

2

49.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

50.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

51.

Find the slope:

a)

2

b)

-2

c)

1/2

d)

-1/2

52.

Find the slope of:
2y + 8x = 6

a)

8

b)

-4

c)

3

d)

4

53.

Write the equation of the line.

a)

y = x+1

b)

y= x-1

c)

y= x

d)

y= -x-1

54.

Factor

k²-16k+63

a)

(k+9)(k+7)

b)

(k-9)(k-7)

c)

9k + 7k

d)

(k-9)(k+7)

55.

Factor:

x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

56.

What is the standard form of a quadratic equation?

a)

y=x²

b)

y=ax²+bx+c

c)

y=(x+h)²+k

d)

y= (x+a)(x+b)

57.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

58.

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

59.

Find the zeros: y = x(x - 1)(x + 3)

a)

0, 1, -3

b)

-3, 1

c)

-1, 3, 0

d)

-1, 3

60.

How many terms are there is 2x³ +x² + 4x + 6

a)

3

b)

4

c)

2

d)

6

61.

Write the slope-intercept equation for the line with m = 2 and y-intercept (0,-1)

a)

y = x-2

b)

y = -1x+2

c)

y = 2x+1

d)

y = 2x-1

62.

Calculate the slope of the line containing (-2,1) and (6,2)

a)

8

b)

1/8

c)

-1/8

d)

-8

63.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

64.

Which of these lines has a slope of -3?

a)

A

b)

B

c)

C

d)

D

65.

What is the solution?

a)

No solution

b)

(0, 2)

c)

(0, -4)

d)

(3, -3)

66.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

67.

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

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

68.

Perform the operation

(x² - 2x + 1) (x - 2)

a)

x³ + 4x² + 4x + 1

b)

x³ - 4x² + 4x

c)

x³ - 4x² + 4x - 1

d)

x³ - 4x² + 5x - 2

69.

What is the solution to this system?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

70.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

71.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

72.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

73.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

74.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

75.

(6x+5)²

a)

36x+60x+25

b)

36x²+60x+25

c)

60x+25

d)

x²

76.

Lee is solving this equation by factoring:
x²+ 11x + 30
Which expression could be one of his correct factors?

a)

(x − 5)

b)

(x + 6)

c)

(x + 10)

d)

(x + 15)

77.

The length of a rectangle is 2 cm more than its width. If the area of the rectangle is 24 cm²then what is the length of the longest side?

a)

4

b)

6

c)

10

d)

12

78.

A culture of bacteria grows 30% every hour. If there are 25 bacteria in the culture to start, approximately how many hours would it take to have at least 750 bacteria?

a)

11

b)

12

c)

13

d)

14

79.

For the exponential function f(x) = 2^x -3, find the average rate of change for the interval x = 3 and x = 5.

a)

24

b)

2∕24

c)

12

d)

2

80.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

81.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Correpsonding

d)

Vertical Angles

82.

Name the angle relationship.

a)

Consecutive Interior

b)

Alternate Interior

c)

Corresponding

d)

Vertical Angles

83.

What type of angle pair is ∠1 and ∠3?

a)

alternate interior angles

b)

supplementary angles

c)

corresponding angles

d)

vertical angles

84.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

85.

Angles 4 and 6 are

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Vertical

86.

Angles 2 and 8 are

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Vertical

87.

Angles 1 and 5 are

a)

Same Side interior

b)

Alternate Interior

c)

Alternate Exterior

d)

Vertical

88.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

89.

Which pair of angles are alternate exterior angles?

a)

Angle 7 and Angle 4

b)

Angle 2 and Angle 6

c)

Angle 8 and Angle 1

d)

Angle 2 and Angle 8

90.

Find the measure of angle 1.

a)

28^o

b)

136^o

c)

44^o

d)

6^o

91.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

92.

Lines r and s are cut by a transversal. What value of x proves r ∥ s?

a)

43

b)

37

c)

143

d)

37

93.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

94.

What is the value of x?

a)

22

b)

26

c)

24

d)

23

95.

Find the value of x.

a)

20

b)

135

c)

31

d)

145

96.

What is the measure of ∠8?

a)

55

b)

155

c)

135

d)

45

97.

In the diagram, which of the following statements are false?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are corresponding angles

98.

What is the measure of ∠2?

a)

38

b)

58

c)

71

d)

142

99.

Find the value of x.

a)

x = 133

b)

x = 47

100.

Find y.

a)

50

b)

130

101.

A sporting goods store sells left haded (x) and right handed (y) gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system could be solved to determine the number of each type of glove sold?

a)

x + y = 561
45x+52y=12

b)

x + y = 12
52x+45y=561

c)

x + y = 12
45x+52y=561

d)

x + y = 561
52x+45y=12

102.

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

a)

x+y=134
x+y=120

b)

3x+3y=134
4x+3y=120

c)

4x+3y=134
3x+3y=120

d)

7xy=134
6xy=120

103.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

1.5x+0.5y=78.5
x+y=87

b)

1.5x+0.5y=78.5
1.5x+0.5y=87

c)

x+y=78.5
1.5x+0.5y=87

d)

x+y=78.5
x+y=87

104.

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. How much does one ZUCCHINI cost? Write your answer in this form: $0.05 (no spaces)

(a)

105.

A store owner wants to mix cashews and almonds. Cashews cost 2 dollars per pound and almonds cost 5 dollars per pound. He plans to sell 150 pounds of a mixture. How many pounds of Cashews should be mixed if the mixture will cost 3 dollars?

(Type only the number - no label or variable)

(a)

106.

Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, and large photos cost $40. She usually sells as many small photos as medium and large photos combined. She also sells twice as many medium photos as large. A booth at the art fair costs $300.

If her sales go as usual, she will have to sell (a) small photos to pay for the booth.

107.

A light-year is the distance light travels in one year. One light-year is about 5.9 × 10¹²miles. If it take light 3 months to travel from one star to another, how far apart are the stars?

a)

1.5 × 10¹²miles

b)

2 × 10¹²miles

c)

2 × 10³ miles

d)

1.5 × 10⁴ miles

108.

Solution A is 70% HCl while Solution B is 20% HCl. How much of Solution A do you need to make 20oz of a 50% solution? [just write the VALUE! NO UNITS]

(a)

109.

Matilda has a handful of quarters and dimes, with a total value of $8.55. The number of quarters is 3 more than twice the number of dimes. How many dimes does she have? [just write the value- NO UNITS!]

(a)

110.

LeBron needs 150 milliliters of a 30% solution of sulfuric acid for a lab experiment but only has access to a 25% and a 50% solution. How much of the 25% should he mix to make the 30% solution? [JUST WRITE THE VALUE! no units, but in mL]

(a)

111.

f you deposit $4000 into an account paying 6% annual interest compounded quarterly, how much money will be in the account after 5 years? [write answer with $ commas & cents] ex: $1,504.17

(a)

112.

Vijay opened a savings account and deposited $300.00 as principal. The account earns 4% interest, compounded annually. What is the balance after 5 years? [write answer with $ commas & cents] ex: $1,504.17

(a)

113.

A tire in Perry's car has just sprung a leak and is losing pressure at a rate of 15% every hour. If the tire pressure is currently 240 kilopascals, what will it be in 6 hours to the nearest TENTH? [just write the value - no units!]

(a)

114.

Find the roots of this equation: x² + 5x + 6 = 0 [list them from smallest to largest with a comma & space] ex: -3, 0

(a)

115.

Find the roots of this equation: x² + 5x = 0 [list them from smallest to largest with a comma & space] ex: -3, 0

(a)

Algebra I Midterm Review

Total questions: 115

Worksheet time: 6hrs 6mins

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