Free Printable 8 UNIT TEST 2 (EE)

1.

On an upcoming field trip, there has to be 10 chaperons for every 70 students. Which of the following graphs shows this linear relationship with the same unit rate?

a)

b)

c)

d)

2.

A car travels 150 miles in 3 hours. What is the unit rate of the car's speed in miles per hour?

a)

45 miles per hour

b)

50 miles per hour

c)

55 miles per hour

d)

60 miles per hour

3.

Given the graph of a line that passes through the points (0, 0) and (4, 8), what is the slope of the line?

a)

$\frac{1}{2}$

b)

1

c)

2

d)

4

4.

If the equation of a line is $y = 5x$ , what is the unit rate?

a)

1

b)

2

c)

5

d)

10

5.

A graph shows a line passing through the origin and the point (6, 18). What is the slope of the line?

a)

1

b)

2

c)

3

d)

4

6.

Which of the following equations represents a proportional relationship with a unit rate of 7?

a)

$y = 5x$

b)

$y = 6x$

c)

$y = 7x$

d)

$y = 8x$

7.

A line on a graph passes through the points (0, 0) and (5, 15). What is the unit rate of this line?

a)

1

b)

2

c)

3

d)

4

8.

Compare the two proportional relationships: Line A has a slope of 4, and Line B is represented by the equation $y = 2x$ . Which line has a greater unit rate?

a)

Line A

b)

Line B

c)

Both lines have the same unit rate

d)

Cannot be determined

9.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

10.

What is the slope?

a)

-4/3

b)

-3/4

c)

-2

d)

-6

11.

What is the slope?

a)

1/4

b)

4

c)

-3

d)

-2

12.

What is the slope?

a)

0

b)

Undefined

c)

4

d)

1/4

13.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

14.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

15.

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

a)

4

b)

1/4

c)

-4

d)

-1/4

16.

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

a)

-4

b)

4

c)

1/4

d)

-1/4

17.

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

18.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

19.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

20.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

21.

Simplify the expression: $(2^3) \cdot (2^4)$

a)

$2^7$

b)

$2^{12}$

c)

$2^{1}$

d)

$2^{6}$

22.

Evaluate the expression: $5^0$

a)

$0$

b)

$1$

c)

$5$

d)

$10$

23.

Simplify the expression: $\frac{3^5}{3^2}$

a)

$3^3$

b)

$3^7$

c)

$3^2$

d)

$3^1$

24.

What is the value of $10^{-2}$ ?

a)

$100$

b)

$0.01$

c)

$0.1$

d)

$10$

25.

Simplify the expression: $(4^2)^3$

a)

$4^5$

b)

$4^6$

c)

$4^8$

d)

$4^{12}$

26.

Evaluate the expression: $(-2)^3$

a)

$-8$

b)

$8$

c)

$-6$

d)

$6$

27.

Simplify the expression: $x^5 \cdot x^{-3}$

a)

$x^2$

b)

$x^8$

c)

$x^{-8}$

d)

$x^{-2}$

28.

What is the value of $7^{-1}$ ?

a)

$7$

b)

$-7$

c)

$\frac{1}{7}$

d)

$-1$

29.

(5³)⁴

a)

1/5¹

b)

5⁷

c)

(5x5x5)(5x5x5)(5x5x5)

d)

5¹²

30.

Which expression is equivalent to the expression in the picture?

a)

6 / 9

b)

2

c)

8 / 27

d)

4 / 9

31.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

32.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

33.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

34.

(2x⁷)³

a)

6x²¹

b)

8x²¹

c)

6x¹⁰

d)

8x¹⁰

35.

Re-write the expression with a positive exponent

a)

1/6³

b)

6³

c)

1³/6

d)

6/1³

36.

3^-2 = 1/9

a)

True

b)

False

37.

What is the result of multiplying $(3 \times 10^4)$ by $(2 \times 10^3)$ in scientific notation?

a)

$6 \times 10^6$

b)

$6 \times 10^7$

c)

$5 \times 10^7$

d)

$5 \times 10^6$

38.

What is the sum of $(4.5 \times 10^5)$ and $(3.5 \times 10^5)$ in scientific notation?

a)

$8.0 \times 10^5$

b)

$7.0 \times 10^5$

c)

$7.5 \times 10^5$

d)

$8.5 \times 10^5$

39.

Divide $(9 \times 10^8)$ by $(3 \times 10^4)$ and express the answer in scientific notation.

a)

$3 \times 10^4$

b)

$3 \times 10^5$

c)

$3 \times 10^3$

d)

$3 \times 10^6$

40.

Convert the number $7.89 \times 10^{-2}$ to decimal notation.

a)

$0.0789$

b)

$0.789$

c)

$7.89$

d)

$0.00789$

41.

What is the result of subtracting $(2.3 \times 10^6)$ from $(5.6 \times 10^6)$ in scientific notation?

a)

$3.3 \times 10^6$

b)

$3.3 \times 10^5$

c)

$3.3 \times 10^7$

d)

$3.3 \times 10^4$

42.

Evaluate the expression. Give the answer in scientific notation.

43.

Match the following expressions with their correct results.

a)

3.6 x 10^9

1.

(1.2 x 10^3)(3 x 10^6)

b)

3.6 x 10^18

2.

(1.8 x 10^9)(2 x 10^9)

c)

4.8 x 10^9

3.

(2.4 x 10^3)(2 x 10^6)

d)

4.8 x 10^8

4.

(6 x 10^2)(8 x 10^5)

44.

Which of the following points is a solution to the system of equations $x + y = 5$ and $2x - y = 4$ ?

a)

$(3, 2)$

b)

$(4, 1)$

c)

$(2, 3)$

d)

$(1, 4)$

45.

Which system has a solution of (-1, 3)?

a)

y = -6x - 3

y = -x + 2

b)

y = -3x + 1

y = 2x - 4

c)

y = 3

y = -x + 1

d)

y = -4x - 2

y = x + 3

46.

Chase is comparing the cost of cell phone services. The phone he wants costs $40 at Campbell Cellular, and the unlimited calling plan through their carrier would cost $3 per day. At Thornton Electronics, Chase could purchase the same phone for $60 and also get an unlimited calling plan for $1 per day. After some number of days, the two options would end up having the same total cost. What would the total cost be?

(a)

47.

Two political activists, Janelle and Connor, have a friendly bet to see who can get the most signatures on a petition. So far, Janelle has collected 35 signatures and Connor has collected 25 signatures. Janelle is averaging 1 new signature per minute, while Connor is managing to collect an average of 2 signatures per minute. Assuming this trend continues, they will end up in a tie. How many signatures will they have when the tie occurs?

(a)

48.

Mrs. Smith is a dance teacher whose students are going to have a recital. She is comparing two companies' prices for filming the recital and producing DVDs. Jamal's Productions charges $10 per DVD, plus $100 to come and film the recital. Greenwood Media charges $50 to film, plus $12 per DVD. To decide which company to use, Mrs. Smith determines the number of DVDs that would make the two options equivalent in terms of cost. How many DVDs would that be?

a)

$350

b)

25 DVDs

c)

$25

d)

350 DVDs

49.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

50.

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

51.

What is the Solution to this system?

a)

(2,-2)

b)

(-2,2)

c)

All Real Numbers

d)

No Solution

52.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

53.

2x - 3y = 6
7x - 3y = -9

a)

(-3,-4)

b)

(3,4)

c)

(-4,-3)

d)

(4,3)

54.

5x - 4y = =-16
x+ 2y = -6

a)

(-4,-1)

b)

(5,-1)

c)

(-5,-1)

d)

(4,1)

55.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

56.

4x+8y=20
-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

57.

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.

58.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

59.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

60.

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

a)

(-1, 4)

b)

(1, -4)

c)

(-4, 1)

d)

(4, -1)

61.

How many solutions will this system have?

a)

No Solution

b)

Infinitely Many Solutions

c)

No Clue

d)

One solution

62.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

63.

Which of the following equations has exactly one solution?

a)

$2x + 3 = 2x + 3$

b)

$x + 5 = 10$

c)

$3x - 3 = 3x + 1$

d)

$4x + 2 = 4x + 2$

64.

Which of the following equations has no solution?

a)

$x - 4 = x + 4$

b)

$2x + 1 = 2x + 1$

c)

$x + 3 = 7$

d)

$5x - 5 = 5x - 5$

65.

Which of the following equations has infinitely many solutions?

a)

$3x + 2 = 3x + 5$

b)

$x - 2 = x - 2$

c)

$4x + 1 = 2x + 3$

d)

$x + 6 = 10$

66.

What is the solution type for the equation $5x + 3 = 5x + 7$ ?

a)

One solution

b)

No solution

c)

Infinitely many solutions

d)

Two solutions

67.

Which equation has exactly one solution?

a)

$3x + 1 = 3x + 1$

b)

$x - 7 = 5$

c)

$4x + 4 = 4x + 8$

d)

$2x + 3 = 2x + 3$

68.

Determine the solution type for the equation $6x - 2 = 6x + 3$ .

a)

One solution

b)

No solution

c)

Infinitely many solutions

d)

Two solutions

69.

Which of the following equations has no solution?

a)

$2x + 5 = 2x + 5$

b)

$x + 1 = x + 1$

c)

$3x + 2 = 3x + 6$

d)

$x + 7 = 10$

70.

2(8+9b)

a)

16+18b

b)

25b

c)

18b

d)

-16-18b

71.

6(-4+3)+5v+10v

a)

9v

b)

21v

c)

6+15v

d)

-6+15v

72.

a)

x= 12

b)

x= -12

c)

x= -22

d)

x= 22

73.

a)

x= 1

b)

x= -1

c)

x= 2

d)

x= -2

74.

a)

19

b)

-9

c)

-100

d)

-50

75.

- 2 (x + 3) = 12

a)

4.5

b)

-9

c)

-4.5

d)

9

76.

Evaluate the square root: $\sqrt{16}$

a)

2

b)

+3, -3

c)

+4, -4

d)

5

77.

Evaluate the cube root: $\sqrt[3]{27}$

a)

2

b)

3

c)

4

d)

5

78.

Solve the equation: $x^2 = 49$

a)

+5, -5

b)

6

c)

+7, -7

d)

8

79.

Solve the equation: $x^3 = 64$

a)

2

b)

3

c)

4

d)

5

80.

Evaluate the square root: $\sqrt{81}$

a)

+7, -7

b)

8

c)

+9, -9

d)

+10, -10

81.

Evaluate the cube root: $\sqrt[3]{8}$

a)

1

b)

2

c)

3

d)

4

82.

Solve the equation: $x^2 = 36$

a)

4

b)

5

c)

+6, -6

d)

+7, -7

83.

Solve the equation: $x^3 = 125$

a)

4

b)

5

c)

6

d)

7

84.

a)

- 9

b)

+9

c)

-9, +9

d)

+7

e)

-7

85.

a)

-2

b)

+2

c)

-2, +2

d)

None are correct

86.

a)

9

b)

1

c)

27

d)

81

87.

a)

25

b)

10

c)

20

d)

5

88.

Which of the following is the correct scientific notation for the number 5,600,000?

a)

$5.6 \times 10^5$

b)

$5.6 \times 10^6$

c)

$5.6 \times 10^7$

d)

$5.6 \times 10^8$

89.

Convert the number $3.45 \times 10^{-4}$ to standard form.

a)

0.000345

b)

0.00345

c)

0.0000345

d)

0.0345

90.

Which is larger: $2 \times 10^3$ or $5 \times 10^2$ ?

a)

$2 \times 10^3$

b)

$5 \times 10^2$

c)

They are equal

d)

Cannot be determined

91.

Express the number 0.00089 in scientific notation.

a)

$8.9 \times 10^{-3}$

b)

$8.9 \times 10^{-4}$

c)

$8.9 \times 10^{-5}$

d)

$8.9 \times 10^{-6}$

92.

How many times larger is $4 \times 10^5$ compared to $2 \times 10^3$ ?

a)

20 times

b)

200 times

c)

2000 times

d)

20000 times

93.

Convert the number 7,200,000 to scientific notation.

a)

$7.2 \times 10^5$

b)

$7.2 \times 10^6$

c)

$7.2 \times 10^7$

d)

$7.2 \times 10^8$

94.

Which of the following numbers is equivalent to $1.2 \times 10^2$ ?

a)

12

b)

120

c)

1200

d)

12000

95.

If $6 \times 10^4$ is divided by $3 \times 10^2$ , what is the result in scientific notation?

a)

$2 \times 10^2$

b)

$2 \times 10^3$

c)

$2 \times 10^4$

d)

$2 \times 10^5$

96.

How would you write 564,000,000 in scientific notation?

a)

5.64 x 10^-7

b)

5.64 x 10⁶

c)

5.64 x 10⁸

d)

56.4 x 10⁷

97.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

98.

Express the following in scientific notation:
.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

99.

What does the $b$ represent in the equation $y = mx + b$ ?

a)

The slope of the line

b)

The x-intercept of the line

c)

The y-intercept of the line

d)

The angle of the line

100.

If a line has a slope of 3 and passes through the origin, what is its equation?

a)

$y = 3x + 3$

b)

$y = 3x$

c)

$y = x + 3$

d)

$y = 3$

101.

If a line has a slope of 2 and a y-intercept of -4, what is its equation?

a)

$y = 2x - 4$

b)

$y = 2x + 4$

c)

$y = -2x + 4$

d)

$y = 2x$

102.

Which of the following points lies on the line $y = 5x + 2$ ?

a)

(1, 7)

b)

(0, 2)

c)

(2, 10)

d)

(1, 5)

103.

What is the slope of a line that passes through the points (2, 3) and (4, 7)?

a)

1

b)

2

c)

3

d)

4

104.

If a line has an equation $y = -\frac{1}{2}x + 3$ , what is the slope of the line?

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

3

d)

-3

105.

Find the slope of the line.

(a)

106.

What is the y-intercept?

(a)

107.

Write the equation for the line.

(a)

108.

Write the equation for the line.

(a)

109.

Which representations have the same slope?

a)

b)

$y=\frac{1}{2}x+5$

c)

$\left(-2,4\right),\ \left(2,6\right)$

d)

110.

Which representations have the same slope?

a)

$y=\frac{1}{5}x-2$

b)

c)

d)

$y=-\frac{1}{5}x$

111.

Which is the correct graph for the equation?

y=2x+5

a)

b)

c)

d)

112.

Which is the correct graph for the equation?

y=-x+1

a)

b)

c)

d)

113.

Which is the correct graph for the equation?

y=-\frac{3}{4}x-4

a)

b)

c)

d)

114.

What is the slope of the line represented by this equation?

y=\frac{9}{2}x+4

a)

9

b)

2

c)

4

d)

$\frac{9}{2}$

115.

What is the y-intercept of the line represented by this equation?

y=\frac{9}{2}x+4

a)

9

b)

2

c)

4

d)

$\frac{9}{2}$

116.

What is the slope of the line passing through these points?

\left(6,5\right),\ \left(14,-11\right)

(a)

117.

What is the slope of the line passing through these points?

\left(-20,5\right),\ \left(14,15\right)

a)

$-\frac{17}{5}$

b)

$-\frac{5}{17}$

c)

$\frac{17}{5}$

d)

$\frac{5}{17}$

8 UNIT TEST 2 (EE)

Total questions: 117

Worksheet time: 4hrs 9mins

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