Free Printable Mid-Term Review 2020

1.

Evaluate the equation:
5 · 2 - (11 - 7)

a)

10

b)

4

c)

6

d)

11

2.

10 + 10 ÷ 2

a)

15

b)

10

c)

16

d)

20

3.

15 x 19 + 18 ÷ 6 =

a)

250

b)

199

c)

400

d)

288

4.

10 + 45 ÷ 9 -(14 ÷ 2) =

a)

9

b)

7

c)

53

d)

18

5.

Simplify the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

6.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

7.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

8.

What type of real number is (-7)?

a)

whole, integer

b)

integer, whole

c)

rational, integer

d)

rational

9.

What kind of real number is 5.25

a)

whole, integer

b)

integer only

c)

rational, integer

d)

rational only

10.

The numbers 0, 1, 2, 3, ... are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

11.

17 - 28

a)

45

b)

-11

c)

11

12.

-9 + (-7)=

a)

16

b)

2

c)

-2

d)

-16

13.

6 + (-8)

a)

-2

b)

2

c)

-14

d)

14

14.

-5 x 5=

a)

-10

b)

10

c)

25

d)

-25

15.

Solve -3 x 1 x 2=

a)

6

b)

-5

c)

-6

d)

9

16.

28 ÷ (-4)

a)

9

b)

7

c)

-7

d)

-9

17.

Find the difference:

–10 – (–10)

a)

20

b)

–20

c)

100

d)

0

18.

Find the quotient:

–20 ÷ (–5)

a)

100

b)

–25

c)

4

d)

–4

19.

Simplify:

5(–3) – 4

a)

–19

b)

11

c)

–11

d)

–2

20.

Simplify:

–2(–1 – 6)

a)

14

b)

–14

c)

10

d)

–10

21.

What is the total number of students speaking different languages?

a)

20

b)

25

c)

50

d)

100

22.

What is the relative frequency of students speaking Arabic?

a)

32%

b)

24%

c)

10%

d)

2%

23.

What is the relative frequency of students speaking Spanish?

a)

16%

b)

12%

c)

24%

d)

48%

24.

What is the relative frequency of students speaking German?

a)

7%

b)

1%

c)

100%

d)

12%

25.

What is the relative frequency of students speaking Vietnamese?

a)

8%

b)

100%

c)

4%

d)

16%

26.

What is the total number of animals at the refuge?

a)

20

b)

25

c)

50

d)

100

27.

What is the relative frequency of cheetahs at the refuge?

a)

25%

b)

20%

c)

16%

d)

100%

28.

What is the relative frequency of lions at the refuge?

a)

40%

b)

45%

c)

35%

d)

100%

29.

What is the relative frequency of tigers at the refuge?

a)

110%

b)

10%

c)

30%

d)

100%

30.

What is the relative frequency of leopards at the refuge?

a)

20%

b)

30%

c)

40%

d)

10%

31.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

32.

What is the first step to complete when solving this equation?
10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

33.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

34.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

35.

Solve:
2(a + 4) = 2a - 8 + 4a

a)

3

b)

-3

c)

-4

d)

4

36.

Solve the equation for x.
12x - 15 = 6x + 9

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

37.

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

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

38.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

39.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

40.

Simplify by combining like terms:

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

41.

-6y + 10 - 20 + 5x + 2x + 8y

a)

2y - 10 + 7x

b)

10 + 7y + 2x

c)

-6y + 30 + 10x

d)

-10

42.

Simplify by combining like terms:

19 - ( 3 - 5b)

a)

16 + 5b

b)

21 + 5b

c)

16 - 5b

d)

21 - 5b

43.

Simplify by combining like terms:

2(x + 3) + 3(3x - 2)

a)

11x

b)

11x - 12

c)

11x + 12

d)

0

44.

Simplify by combining like terms:

7 + 3(1 - 2x) - [0 - -4x(8 - 4 x 2)]

a)

21 - 6x

b)

10 - 2x

c)

10 - 20x

d)

10 - 6x

45.

Evaluate the expression:

m² – 15 for m = 8

a)

12

b)

32

c)

49

d)

32

46.

Evaluate the expression:

0 - -(20 - 2n) for n = 7

a)

6

b)

8

c)

10

d)

4

47.

Evaluate the expression:

x + 2y + (3z + x - (y + z)) for x = 5, y = 3 & z = 2

a)

15

b)

16

c)

17

d)

18

48.

Evaluate the expression:

g²- 3(h - g) for g = -3 and h = -2

a)

6

b)

9

c)

24

d)

5

49.

Evaluate the expression:

4 + u²÷ v for u = 7 and v = 1

a)

51

b)

53

c)

49

d)

5

50.

Evaluate the expression:

(b - 11 - 3) x 2 x (2 ÷ ½ ÷ 4) for b = 24

a)

20

b)

-4

c)

12

d)

-10

51.

Evaluate the expression:

y − b ÷ 2b for y = 5 and b = 10

a)

-5

b)

-45

c)

5

d)

16/3

52.

If I have more 15 Pokemon cards than Austin, which expression shows how many I have?

a)

x-15

b)

x+15

c)

15x

d)

15/x

53.

Write this phrase as an algebraic expression:

3 more than x

a)

3x

b)

3 + x

c)

x - 3

d)

x ÷ 3

54.

Write the expression for the perimeter of the rectangle

a)

6x - 6

b)

4x + 10

c)

8x - 8

d)

3x - 3

55.

Write this phrase as an algebraic expression:

the product of 7 and j increased by 3

a)

3 + 7j

b)

7j - 3

c)

7(j + 3)

d)

3j + 7

56.

Write the phrase as an algebraic expression:

twice a number increased by 8

a)

2 + 8x

b)

2x + 8

c)

2(x + 8)

d)

8(x + 2)

57.

-4b - 3b = -14

a)

b = 5

b)

b = 2

c)

b = 15

d)

b = 12

58.

3r + 3r = 15 + r

a)

r = -2

b)

r = 3

c)

No Solution

d)

r = -8

59.

11 - 4b = 1 + 6b

a)

b = 1

b)

b = -11

c)

b = -1

d)

b = -10

60.

-(5 - 4n) + 7n = -93

a)

n = -5

b)

n = -2

c)

n = -8

d)

n = 3

61.

4(2k + 7) = 92

a)

k = -6

b)

k = 1

c)

No Solution

d)

k = 8

62.

1 + 8n = 3(n + 2)

a)

n = 1

b)

All Real Numbers

c)

n = -7

d)

n = -6

63.

-2(5 + 6n) - 6 = -2 - 5n

a)

n = -1

b)

n = -2

c)

All Real Numbers

d)

n = -12

64.

-6(x - 1) = -6(5 - 5x)

a)

x = -16

b)

x = -8

c)

x = 13

d)

x = 1

65.

3(5n + 7) = 5(6n - 2) + 1

a)

n = 5

b)

n = -14

c)

n = 2

d)

n = -7

66.

6 = 1 + 4p - 3p

a)

p = 5

b)

No Solution

c)

p = -8

d)

p = -4

67.

a)

x = -9

b)

x = 12

c)

x = -2

d)

x = -7

68.

Simplify
x + 7 + 2x

a)

10x

b)

x + 7

c)

-6

d)

3x + 7

69.

Simplify
7(-4n + 2) + 98

a)

-28n +112

b)

-28n + 100

c)

87n

d)

84

70.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

71.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

72.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

73.

Find the slope

a)

-5/7

b)

7/5

c)

-7/5

d)

5/7

74.

find the slope

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

75.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

76.

Determine the slope and y-intercept. y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

77.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

78.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

79.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

80.

Find the slope of the line that passes through (-9, -6) and (-9, -10)

a)

0

b)

Undefined

c)

-3

d)

-9

81.

Find the slope of the line that passes through (10, -8) and (1, 12).

a)

20/9

b)

-20/9

c)

4/9

d)

9/4

82.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

83.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

84.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

85.

Graph x+y=3

a)

A

b)

B

c)

C

d)

D

86.

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

87.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

88.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

89.

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

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

90.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

91.

Solve using substitution.
x - 2y = 2
3x + 4y = 3

a)

(1.4, -0.3)

b)

(3.1, 5)

c)

(-2.5, 3.5)

d)

(6.9, 1.02)

92.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

93.

Find the solution to the system of equations:
3x + 2y = 16
y = -7x + 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

94.

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

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

95.

A system of linear equations is...

a)

Math Magic

b)

One Equation

c)

Always more than 2 equations

d)

A set of 2 or more equations

96.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

97.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

98.

Which of the following are ways to solve systems of equations?

a)

Graphing

b)

Substitution

c)

Elimination

d)

All of the above

99.

Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

(−6, 10)

d)

(6, 4)

100.

Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16

a)

(-3, -25)

b)

(3,-7)

c)

(11, 17)

d)

(21, 47)

101.

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

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

102.

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

103.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

104.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

a)

x + y = 15
4x + 2y = 44

b)

4x + 2y = 15
x + y = 44

c)

x = 2y + 44
4x = y + 15

d)

2x - 4y = 44
x - y = 15

105.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4x + 6y = 3
13.5x - 13y = 6

b)

x + y = 4
x - y = 6

c)

4x + 6y = 13
3x + 7y = 13.5

d)

4x - 6y = 13
3x - 7y = 13.5

106.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

107.

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?

a)

x + y = 1430
20x + 50y = 49

b)

x + y = 49
10x + 5y = 1430

c)

x + y = 49
20x + 50y = 1430

d)

x + y = 49
x + y = 1430

108.

Solve by elimination:
3x+7y=23

-3x-7y=-17

a)

No solution

b)

ARN

c)

(-3,3)

d)

(3,3)

109.

Solve by elimination
-12x-10y= 0
6x+5y= -1

a)

infinite solutions

b)

(0,0)

c)

no solution

d)

(2,1)

110.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

111.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

Mid-Term Review 2020

Total questions: 111

Worksheet time: 6hrs 33mins

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