Free Printable Midterm 3 (2021)

1.

What inequality does the number line graph represent?

a)

x > 4

b)

x > -4

c)

x < 4

d)

x >= -4

2.

What would be the best first step to solving the equation?
-3=x+5

a)

add 3 to both sides

b)

subtract 5 from both sides

c)

add 5 to both sides

d)

subtract -5 from both sides

3.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

4.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

5.

Solve for x:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

6.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

7.

a)

x > 5

b)

x < 5

c)

x < 5

d)

x > 5

8.

$If\ \frac{y}{6}=24,\ what\ is\ the\ value\ of\ \frac{y}{12}$

a)

4

b)

144

c)

6

d)

12

9.

Solve the equation and graph its solution. $-77<10m-7<13$

a)

b)

c)

d)

10.

Solve for the variable w in the following equation:

12 + 6w - 7w = 3w - 2w

a)

w = 6

b)

w = -16

c)

w = -5

d)

w = 4

11.

Which property of real numbers justifies the work shown from Step 1 to Step 2?

a)

Distributive Property

b)

Commutative Property

c)

Identity Property

d)

Associative Property

12.

Which property justifies the work in solving this equation?

a)

Addition Property of Equality

b)

Additive Inverse Property

c)

Identity Property of Addition

d)

Subtraction Property of Equality

13.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

14.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

15.

Solve and graph:

a)

A

b)

B

c)

C

d)

D

16.

Solve 24 > -3r > -9

a)

-8 < r < 3

b)

-8 > r > 3

c)

r > - 8 and r > 3

d)

r > -8 or r < 3

17.

|6n| ≤ 18

a)

9>n<7

b)

-3 ≤ n ≤ 3

c)

-2≤ n≤ 8

d)

-7>n≤ -7

18.

∣ 2x + 9 ∣ = 15

a)

x = 3
x = 6

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

19.

a)

x > -3 or x > 1

b)

x < -3 or x < 1

c)

x ≥ 3 and x ≤ 1

d)

x > -3 and x < 1

20.

Solve

a)

h¹⁹

b)

h⁹⁰

c)

h^-1

d)

1/h¹

21.

(3⁴)(3⁷)

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

22.

a)

4x⁸

b)

9x²

c)

4x²

d)

9x¹⁵

23.

Write $7^5$ in expanded form

a)

7 x 2

b)

7x 7 x 7 x 7 x 7

c)

526

d)

35

24.

Any number written to the 0 power is always 1

Example: 8⁰=1

a)

True

b)

False

c)

Sometimes

25.

simplify -6²

a)

36

b)

12

c)

-36

d)

-12

26.

simplify (-3)⁴

a)

81

b)

-81

c)

12

d)

-12

27.

What is the power to this problem?
6 x 6 x 6 x 6 x 6 x 6 x 6

a)

6 to the 7th power

b)

6 to the 8th power

c)

7 to the 9th power

d)

10 to the 5th power

28.

What is the midpoint between (-15,4) and (2, -10)?

a)

(3, -6.5)

b)

(-6.5, -3)

c)

(-3, -6.5)

d)

(6.5, 3)

29.

What is the distance from J to K?(Round to tenths place)

a)

13

b)

9.4

c)

9.5

d)

11

30.

If a line has a slope of 3/4 a line that is parallel has a slope of what?

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

31.

If a line has a slope of 2/3 a line that is perpendicular has a slope of what?

a)

-3/2

b)

3/2

c)

2/3

d)

-2/3

32.

$y=\frac{-2}{3}x+2$ and $y=\frac{3}{2}x+9$

a)

Parallel

b)

Perpendicular

c)

Neither

33.

.
.
.
.
What is the name of this kind of triangle?

a)

Right

b)

Isosceles

c)

Scalene

d)

Equilateral

34.

Find the missing angle

a)

55

b)

75

c)

50

d)

25

35.

Solve for x

a)

x = 12

b)

x = 4

c)

x = 3.33

d)

x = 10

36.

8 - 4(2 + 7) ÷ 12 =

(a)

37.

−6×8−(4+2)+72÷(−8)=

(a)

38.

6. (DA) The Olympic record for the high jump is just over 2.6 yards. What is that distance in feet? (3 ft = 1 yd)

a)

7.8 ft

b)

8.27 ft

c)

8.07 ft

d)

0.867 ft

39.

26. (Write 2 Var Eqtn) College tuition at Bedrock University has increased $500 per year for the past six years. Wilma is a freshmen this year and paid $10,250 for her tuition. She is curious about her tuition in the coming years and needs this information as motivation to graduate in four years. Assuming the tuition rate increase remains constant, write an equation to represent the tuition at Bedrock University in x years.

a)

T = 10,250 - 500t where t is time since your freshmen year

b)

T = 10,250t - 500 where t is time since your freshmen year

c)

T = 10,250 + 500t where t is time since your freshmen year

d)

T = 10,250t + 500 where t is time since your freshmen year

40.

22.(Graph 2 Var Eqtns) The graph shows the total money earned at a fundraising car wash. Which equation can be used to find the total earned y for the number of cars washed x?

a)

y = 5x

b)

y = x + 5

c)

y = x/5

d)

y = x - 5

41.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

42.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

43.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

44.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

45.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

46.

What is the equation of the line?

a)

y = 2
y = 2

b)

x = 2

c)

y = 2x

d)

y = 2x + 3

47.

Which equation is perpendicular to:
y = -6x +2

a)

y = 6x +1

b)

y = 1/6x +4

c)

y = -6x +3

d)

y = -1/6x +5

48.

Which of these lines are parallel to each other:
1) y = 5x -1
2) y = x/5
3) y= -x/5 +11

a)

1 & 2

b)

2 & 3

c)

1 & 3

d)

None of them

49.

Sylvie finds the solution to the system of equations by graphing. $y=\frac{2}{3}x\ +\ 1\ and\ y=-\frac{2}{3}x-1$

a)

b)

c)

d)

50.

What is the solution to the system of linear equations?

a)

(–3, 0)

b)

(–3, 3)

c)

(0, 2)

d)

(3, 1)

51.

y=4x – 10

y=2

What is the solution to the system of equations?

a)

(2, 3)

b)

(3, 2)

c)

(2, –2)

d)

(–2, 2)

52.

The solutions to the inequality y ≤ −x + 1 are shaded on the graph. Which point is a solution?

a)

(2, 3)

b)

(3, –2)

c)

(2, 1)

d)

(–1, 3)

53.

a)

±81

b)

±9

c)

±3

d)

No real solution

54.

a)

±23.25

b)

±5

c)

±25

d)

No real solution

55.

(x² – 3x + 1) + (2x – 4x²)

a)

-3x²- x+1

b)

-3x² -2x + 4

c)

3x² -7x + 1

d)

3x² -5x + 1

56.

(x² – 3x + 1) – (2x – 4x²)

a)

-3x² - x + 1

b)

5x² - x + 1

c)

5x²- 5x + 1

d)

-3x² - 5x + 1

57.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

58.

Determine the slope and y-intercept from the following equation: 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)

59.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

60.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

61.

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

62.

What is the equation of the line?

a)

y=3x

b)

y=3

c)

x=3

d)

y=-3

63.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

a)

C = 0.20x + 15

b)

C =15 (0.20x)

c)

C = 15 + x + 0.20

d)

C = 0.20 + 15x

64.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. What is the $15?

a)

y-intercept

b)

rate of change

c)

solutions

d)

function

65.

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What has changed?

a)

y-intercept

b)

x-values

c)

rate of change

d)

appointment fee

66.

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent?

a)

6 movies

b)

9 movies

c)

28 movies

d)

18 movies

67.

Transform from standard form to slope intercept form: 2x-3y=10

a)

y=-2x+10

b)

y= 2/3x-10/3

c)

y=-2/3x+ 10/3

d)

y=2/3x+10

68.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

69.

How can I tell if the graph of an inequality will have a solid line?

a)

It has just an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

70.

Solve for x using Elimination:

x\ +\ y\ =\ 10

x\ -\ y\ =\ 20

a)

x = 30

b)

x = 15

c)

x = -5

d)

x = 5

71.

When using the elimination method, the terms have to be lined up vertically.

True or False?

a)

True

b)

False

72.

Determine how many solutions the system has.

a)

One Solution

b)

No Solutions

c)

Infinitely Many Solutions

d)

Mikey is my friend.

73.

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

a)

1

b)

-1

c)

3

d)

4

74.

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

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

75.

Solve the system of equations:

a)

( 4, 0, -2)

b)

( -4, -2, 0)

c)

None of these

d)

( -4, 0, -2)

76.

What is the determinant of matrix A?

a)

0

b)

-16

c)

16

d)

undefined

77.

Evaluate the determinant of the matrix.

a)

-21

b)

0

c)

9

d)

12

78.

What is the solution to the system of equations?

a)

(2, -2)

b)

(2, 2)

c)

No Solution

d)

(-2, -2)

79.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

80.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3h + 2d = 315

2h + 4d = 450

b)

3h + 2d = 450

2h + 4d = 315

c)

2h + 2d = 315

3h + 4d = 450

Midterm 3 (2021)

Total questions: 80

Worksheet time: 20hrs 0mins

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