Free Printable Algebra Mid-Term Review

1.

Which of the following number sets includes $-\sqrt{49}$ ?

a)

integers

b)

real numbers

c)

whole numbers

d)

rational numbers

2.

The time required to paint a house, t, varies inversely with the number of painters, p. If 6 people can paint the house in 24 hours, which of the following is the equation for this inverse variation?

a)

$p=4t$

b)

$p=144t$

c)

$p=\frac{4}{t}$

d)

$p=\frac{144}{t}$

3.

Which of the following is a true statement?

a)

All natural numbers are integers.

b)

All integers are whole numbers.

c)

All whole numbers are natural numbers.

d)

All real numbers are rational numbers.

4.

The total cost for paperback books varies directly with the number of books purchased. If the total cost of 6 paperback books is $35.94, how much would 20 paperback books cost?

a)

$3.34

b)

$10.78

c)

$119.80

d)

$215.64

5.

Which property is demonstrated below?

(x + y) + 3 = x + (y + 3)

a)

associative

b)

commutative

c)

symmetric

d)

substitution

6.

28 − k ≥ 8k - 7(k − 4)

a)

k ≥0

b)

Infinitely Many Solutions

c)

No Solution

d)

k ≤ 0

7.

Name the property described:
If PQ = RS then RS = PQ

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

8.

Evaluate |4 - h|- b if b= -3 and h= 6

a)

-1

b)

1

c)

5

d)

13

9.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

10.

Translate this phrase into an algebraic expression.
Two times the difference of some number and eleven.

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

11.

The perimeter is 88. Find the length of the short side.

a)

6

b)

12

c)

18

d)

21

e)

7

12.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

13.

Four times a number increased by 7 is at least 19.

a)

4x > 19

b)

4x + 7 ≥ 19

c)

4x < 19

d)

4x + 7 ≤ 19

14.

3(a - 14) - 5(a + 12)

a)

-2a - 102

b)

-104a

c)

8a - 2

d)

no solution

15.

a)

b = 3A - a - c

b)

b = -3A + a - c

c)

b = -3A - a - c

d)

b = 2A - c

16.

Solve for x:
2(4x - 3) - 8 = 4 + 2x

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

17.

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

a)

no solution

b)

infinitely many solutions

c)

x = ⅓

d)

x = 4

18.

Solve the given proportion.

a)

A

b)

B

c)

C

d)

D

19.

$A=\frac{\pi r^2S}{360}$

Solve for S

a)

$S=\frac{360A}{\pi r^2}$

b)

$S=360A-\pi r^2$

c)

$S=\frac{A-360}{\pi r^2}$

20.

Solve:
3x + 2 < -4 or 4x + 4 > 24

a)

x < -2 or x > 5

b)

x < 2 or x > 5

c)

x < -2 and x > 5

d)

x < 2 and x > 5

21.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

22.

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

23.

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which solution represents how many signatures Jo needs each week?

a)

$x\ge80$

b)

$x\ge2$

c)

$x\le80$

d)

$x\le2$

24.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

25.

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}

26.

Does this relation represent a function?

a)

No

b)

Yes

27.

What is the range of the following graph?

a)

R: {-5, -1, 0 , 1, 5}

b)

R: {-4, -2, 0, 3, 6}

c)

R: (-4, 1) ( 6, 0)

d)

R: (6, 0)

28.

What is the range of this function?

a)

1 ≤ y ≤ 7

b)

1 ≤ x ≤ 7

c)

-3 ≤ y ≤ 3

d)

-3 ≤ x ≤ 3

29.

{(6,-5), (7, -3), (8, -1), (9, 1)}

Is this relation a function?

a)

Function

b)

Not a function

30.

Does this graph represent a function?

a)

Yes

b)

No

31.

If f(x) = -3x - 8, find f(-1).

a)

f(-1) = 5

b)

f(-1) = -5

c)

f(-1) = -12

d)

f(-1) = -10

32.

Evaluate f(-2) if f(x) = x²+ 3.

a)

-1

b)

1

c)

7

d)

-7

33.

Evaluate for f(1)

a)

0

b)

-3

c)

3

d)

2

34.

Find the zero(s) of the function.

a)

x = 1

b)

x = -3

c)

x = {-1, 3}

d)

x = 2

35.

Find the zero(s) of the function.

a)

x = -3

b)

x = 3

c)

x = -12

d)

x = 12

36.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

37.

Find the slope given the points (-5,-3) and (2,4).

a)

5/4

b)

1/7

c)

-1

d)

1

38.

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

a)

zero

b)

5

c)

Undefined

d)

1/5

39.

Find the missing value using the given slope

(-3, y) and (9, -2) ; m = $\frac{1}{3}$

a)

-8

b)

8

c)

6

d)

-6

40.

Find the slope.

4x - 5y = 40

a)

4/5

b)

-4/5

c)

-8

d)

-4

41.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

42.

Write the following equation in slope-intercept form:
4x - 3y = 12

a)

y = -4/3x + 3

b)

y = -4x + 12

c)

y = 4/3x - 4

d)

y = 4/3x - 12

43.

Write an equation
m = 5/4 through (-4, -3)

a)

y = 5/4x +2

b)

y = -5/4x + 2

c)

y = 2x - 5/4

d)

y = 3/4x + 2

44.

What is the slope of a line parallel to y = -2/6x + 10

a)

2/6

b)

-1/3

c)

6/2

d)

-3

45.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

46.

Write an equation for a line parallel to the line

x - 3y = 12 through (-3, 2)

a)

y = 2/3x +3

b)

y = -1/3x + 3

c)

y = 1/3x + 3

d)

y = -5/3x + 3

47.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

48.

Which equation represents the graph?

a)

y = 3x + 15

b)

y = 1/5 x + 15

c)

y = -1/5 x + 3

d)

y = 15x + 3

49.

Which equation matches the graph?

a)

x = -5

b)

y = -5

50.

What is the equation of the graphed line?

a)

y = 3

b)

y = 3x

c)

x = 3

d)

x = 3y

51.

Write the equation of the line in standard form

a)

y=2/3x-2

b)

-2/3x-y=-2

c)

-2x+3y=-6

d)

2x-3y=6

52.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

53.

The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving.

a)

10 miles

b)

617.5 miles

c)

0.19 miles

d)

500 miles

54.

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

a)

y = 61.93x - 1.79

b)

y = -1.79x + 61.93

c)

y = 0.016x + 0.03

d)

y = 0.03x + 0.016

55.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

56.

Is the given table a direct or inverse variation? What is the constant of variation?

a)

Direct, 12

b)

Inverse, 12

c)

Direct, 1/12

d)

Inverse, 1/12

57.

If the point (20,2) lies on the graph of a direct variation, what is the constant of variation?

a)

1/10

b)

40

c)

10

d)

18

58.

a)

-49

b)

153/5

c)

49

d)

85

59.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

60.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

$y=\frac{1}{3}x-9$

b)

$y=\frac{1}{3}x+10$

c)

$y=-3x+6$

d)

$y=-3x-8$

61.

What is the equation of the line that goes through the points (2, 9) and (3, 1) ?

a)

y= 8x - 5

b)

y= -8x + 25

c)

y= (1/8)x - 2

d)

y= (-1/8)x + 1

62.

What is the perimeter of a rectangle with a length of 9-2y and a width of 7?

a)

-2y + 16

b)

-14y + 63

c)

-4y + 32

d)

-2y + 63

Algebra Mid-Term Review

Total questions: 62

Worksheet time: 2hrs 47mins

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