Free Printable Fall Midterm 2020

1.

Describe the graph of the line that is formed by the equation, y = -3x + 2.

Select all the statements that are true about the line.

a)

The slope is 3.

b)

The slope is -3.

c)

The y-intercept is (0, 2).

d)

The y-intercept is (0, -1).

e)

The x-intercept is (-2/3, 0).

2.

What would be the first step to solving the equation 4x + 3 = 14?

a)

Subtract 3 from both sides of the equation

b)

Add 3 to both sides of the equation

c)

Subtract 4 from both sides of the equation

d)

Add 4 to both sides of the equation

3.

2. Which sets of rational numbers are in order from least to greatest.

a)

A. 0, 0.5, ¾, 80%

b)

B. 0.5, ¾, 0, 80%

c)

C. ¾, 0.5, 0, 80%

d)

D. 0, 0.5, 80%, ¾

4.

3. Dory swims down 20 feet below sea level. She swims back up 7 feet. What is the location of Dory?

a)

A. 13 feet

b)

B. -13 feet

c)

C. 27 feet

d)

D. -27 feet

5.

9. What is the inverse operation to multiplication?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

6.

Suppose the pattern .0202020202... continues forever. Is the number rational?

a)

Yes because it is a repeating number.

b)

Yes because it is a terminating number.

c)

No because it goes on forever.

d)

No because it is not terminating.

7.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

8.

a)

Function

b)

Not a Function

9.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

10.

Is this table a function or not a function?

a)

Function

b)

Not a Function

11.

Is this table a function or not a function?

a)

Function

b)

Not a Function

12.

Solve:
7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

13.

Solve:
8w - 8 = -4w + 16

a)

8

b)

16

c)

24

d)

2

14.

Solve:
7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

15.

Solve the equation:
4x - 5x + 9 = 5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

16.

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

a)

subtract 8n to both sides

b)

multiply 6n to both sides

c)

combine the like terms 4n + -6n

17.

What is the final answer to

10 + 2n = 8n - 2n + 10 ?

a)

12

b)

5

c)

0

d)

-15

18.

What is the correct equation for the picture modeled above?

a)

5x+1=3x+5

b)

1x+5=5x+3

c)

1+5=3=5

d)

6+8

19.

Using the model, write the equation and solve.

a)

6 = 2x; x = 4

b)

6 = 2x; x = 8

c)

6 = 2x; x = 12

d)

6 = 2x; x = 3

20.

Inverse of
substraction

a)

multiplication

b)

addition

c)

division

d)

equal

21.

Inverse of
division

a)

addition

b)

equals

c)

subtraction

d)

multiplication

22.

Which statement best describes the first step to the equation?

-11-3x=44-2x

a)

Add 3 to both sides

b)

Add 11 to both sides

c)

Get the variables on one side

d)

Add 2 to both sides

23.

Solve the equation.

a)

x=-5

b)

x=-17

c)

x=5

d)

x=17

24.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

25.

a)

x = 1

b)

x = 2

c)

x = 1/2

d)

x = 3/2

26.

a)

x ≥ 2

b)

x ≥ -2

c)

x ≤ 2

d)

x ≤ -2

27.

a)

x > 1

b)

x > -1

c)

x < 1

d)

x < -1

28.

a)

x ≤ 4

b)

x ≤ -4

c)

x ≥ 4

d)

x ≥ -4

29.

a)

x ≥ 3

b)

x ≥ -3

c)

x ≤ 3

d)

x ≤ -3

30.

a)

x < 1

b)

x < -1

c)

x > 1

d)

x > -1

31.

Order 3π, √ 10 , and 3.25 from least to greatest.

a)

√ 10, 3π, 3.25

b)

√ 10, 3.25, 3π

c)

3π, 3.25, √ 10

d)

3.25, √ 10, 3π

32.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

33.

Which list of numbers is in order from least to greatest?

a)

A √23, 5, 6, 43%

b)

B 5, √23, 6, 43%

c)

C 43%, 5, √23, 6

d)

D 43%, √23, 5, 6

34.

Place numbers from least to greatest.

a)

-3/7, -0.44, √2, 0.14, 141%,

b)

-0.44, 0.14, -3/7, √2, 141%

c)

-3/7, -0.44, 0.14, 141%, √2

d)

-0.44, -3/7, 0.14, 141%, √2

35.

a)

0.7, 65%, ⅝, ⅔

b)

0.7, ⅝, 65%, ⅔

c)

⅝, 65%, ⅔, 0.7

d)

⅝, ⅔, 65%, 0.7

36.

Which list shows these numbers in order from least to greatest?

a)

b)

c)

d)

37.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

38.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

39.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

40.

What relationship exists between angles 1 and 5

a)

Corresponding angles

b)

Supplementary angles

c)

Vertical angles

d)

Alternate Exterior Angles

41.

Angles 4 and 6 are...

a)

supplementary

b)

congruent

42.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

43.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

44.

Which Angles are congruent?

a)

$\angle5\ and\ \angle8$

b)

$\angle3\ and\ \angle5$

c)

$\angle6\ and\ \angle4$

d)

$\angle3\ and\ \angle4$

45.

Which Angles are Vertical Angles?

a)

$\angle5\ and\ \angle3$

b)

$\angle2\ and\ \angle4$

c)

$\angle1\ and\ \angle4$

d)

$\angle6\ and\ \angle4$

46.

Which best describes the relationship between angles 7 and 8?

a)

Corresponding angles

b)

Same Side Interior Angles

c)

Same Side Exterior angles

d)

Supplementary Angles

47.

Which angles are supplementary?

a)

Corresponding angles

b)

Same Side Interior Angles

c)

Vertical angles

d)

Alternate Interiotr Angles

48.

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

a)

-4

b)

4

c)

1/4

d)

-1/4

49.

What is the slope of the line with the equation y = 4x + 12

a)

4

b)

1/4

c)

-4

d)

-1/4

50.

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

51.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

52.

For the straight line y = -2x + 3, what are:

a) the slope

b) the y-intercept?

a)

a) Slope = 2

b) y-intercept = -3

b)

a) Slope = -2

b) y-intercept = 3

c)

a) Slope = 3

b) y-intercept = -2

d)

a) Slope = -3

b) y-intercept = 2

53.

What is the equation of the following line?

a)

y = 3/4x + 2

b)

y = 1 1/3x + 2

c)

y = -3/4x + 2

d)

y = -1 1/3x + 2

54.

What is the equation of the following graph?

a)

y = 0.25x + 2

b)

y = -4x + 2

c)

y = 4x + 2

d)

y = -0.25x + 2

55.

Which line has a positive slope?

a)

pink

b)

green

c)

blue

d)

neither

56.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

57.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

58.

A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars?

a)

y = 12x + 55

b)

y = 12x + 165

c)

y = 55x + 12

d)

y = 165x + 12

59.

A pilot takes a taxi from the airport to a hotel. The taxi driver charges a $2.50 initial charge plus $2.65 per mile. Which equation can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?

a)

y = 2.50x + 2.65

b)

y = 2.65(x + 2.50)

c)

y = 2.65x - 2.50

d)

y = 2.65x + 2.50

60.

Which situation can be modeled by this function?

a)

The cost in dollars of buying x items that cost $245 each

b)

The number of miles an airplane had traveled after flying 555 miles per hour for x hours

c)

The remaining number of miles on a 620 mile trip after traveling 65 miles per hour for x hours

d)

The amount owed on a $555 loan after paying $65 per month for x months

61.

Ramona is walking 10,000 feet for a fundraiser. She walks at a rate of 270 feet per minute. This situation is modeled by the equation below, where d represents the remaining number of feet Ramona has to walk and t represents the number of minutes she has already walked.

d = 10,000 - 270t

Which table shows only values that satisfy this equation?

a)

b)

c)

d)

62.

What is the y-intercept of the line graphed below?

a)

3
3

b)

4

c)

-3

d)

4/3

63.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

64.

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

65.

Solve for x.

a)

16

b)

11

c)

50

d)

6

66.

Find the measure of angle A.

a)

75^o

b)

60^o

c)

30^o

d)

38^o

67.

a)

A

b)

B

c)

C

d)

D

68.

a)

A

b)

B

c)

C

d)

D

69.

Find the measure of angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

70.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

71.

On the coordinate plane, which line is the y-axis?

a)

Horizontal Line (Side to Side)

b)

Vertical Line (Up and Down)

72.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

73.

Sides a and b are called legs.

a)

true

b)

false

74.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

75.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

76.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

77.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

78.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

79.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

42 miles

c)

37 miles

d)

40 miles

80.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

81.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

82.

Are the triangles similar?

a)

Yes

b)

No

83.

Find missing side

a)

5

b)

7

c)

9

d)

11

84.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

85.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

86.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

87.

A road sign that is 20 ft tall casts a shadow that is 25ft long. A second road sign casts a shadow that is 15ft long. What is the height of the second road sign?

a)

5 ft

b)

10 ft

c)

15 ft

d)

12 ft

88.

A model car is 10 inches long. Using a scale of 2 in:3 ft, how long is the actual car?

a)

15 ft

b)

5 ft

c)

20 ft

d)

13 ft

89.

Solve the following for x: 0.4x+1.6=-1.6x+53.2

a)

25.8

b)

-25.8

c)

27.4

d)

54.8

90.

solve for m

a)

-3/4

b)

9

c)

-11/6

d)

-20/3

91.

solve for x

a)

5

b)

-25

c)

15

d)

1/5

92.

Solve for k:

a)

k = 32

b)

k = 12

c)

k = 44

d)

k = 8

Fall Midterm 2020

Total questions: 92

Worksheet time: 2hrs 32mins

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