Free Printable 3rd 9 Weeks Review

1.

Which expressions are equivalent to $3^{-4}$ Select all that apply.

a)

$3^2\times3^{-6}$

b)

-81

c)

$\frac{1}{81}$

d)

-12

e)

$-3\times-3\times-3\times-3$

2.

Which expressions are equal to $5^{-3}$ ? Select ALL that apply.

a)

$\frac{1}{125}$

b)

-125

c)

$5\times5\times5$

d)

-15

e)

$5\times5^{-4}$

3.

Identify if the solution for x. $x^3=289$

a)

x is less than 6

b)

x is equal to 6

c)

x is more than 6

d)

x is equal to 7

4.

Identify if the solution for x.
$x^2=36$

a)

x is less than 6

b)

x is equal to 6

c)

x is more than 6

d)

x is 66

5.

Which decimal is equivalent to $\frac{17}{44}$

a)

$0.\overline{386}$

b)

$0.38\overline{63}$

c)

0.386

d)

$3.8\overline{63}$

6.

Which numbers are rational? Select all that apply.

a)

$\sqrt{160}$

b)

$-\frac{4}{9}$

c)

$\sqrt{169}$

d)

$6\pi$

7.

Which numbers are irrational? Select all that apply.

a)

$-\frac{1}{27}$

b)

$-0.00\overline{28}$

c)

$3.5169$

d)

$\sqrt{20}$

e)

$11\pi$

8.

What are rational numbers?

a)

Terminating and Repeating

b)

Non-terminating and Repeating

c)

Non-repeating and Terminating

d)

Non-terminating and Non-repeating

9.

Identify TRUE statements as rational or irrational.

a)

$\sqrt{2}$ $=Irrational$

b)

$\frac{17}{25}$ $=Irrational$

c)

$3\pi$ $=Irrational$

d)

$\sqrt{50}$ $=Rational$

e)

$6.\overline{11}$ $=Rational$

10.

A list of numbers is displayed.
$3.6,\ \sqrt{11},\sqrt{15},\ 3.4,\ \sqrt{18}$
To plot the numbers on a number line, which list is ordered from greatest to least?

a)

$\sqrt{11},\ 3.4,\ 3.6,\ \sqrt{15},\ \sqrt{18}$

b)

$\sqrt{18},\ 3.6,\ \sqrt{15},\ \sqrt{11},\ 3.4$

c)

$\sqrt{18},\ \sqrt{15},\ \sqrt{11},\ 3.6,\ 3.4$

d)

$\sqrt{18},\ \sqrt{15},\ 3.6,\ 3.4,\ \sqrt{11}$

11.

Which numbers fall between 10 and 11 on a number line? Select all that apply.

a)

$\frac{72\pi}{\sqrt{49}}$

b)

$\frac{10\pi}{3}$

c)

$\sqrt{48}+\sqrt{10}$

d)

$\frac{\sqrt{20}}{2}$

e)

$\frac{\pi\sqrt{180}}{\sqrt{16}}$

12.

Which point shows the approximate location of $\sqrt{11}$ on a number line?

a)

Between 2 and 3

b)

Between 3 and 4

c)

Between 5 and 6

d)

Equal to 11

13.

The circumference of Saturn measures approximately $2.35\times10^5$ miles, and the circumference of Saturn's largest moon, Titan, is about $1.0\times10^4$ miles.

Which statement is correct?

a)

Saturn's circumference is approximately 2.35 times as many miles as Titan's circumference.

b)

Saturn's circumference is approximately $2.35\times10^1$ times as many miles as Titan's circumference.

c)

Saturn's circumference is approximately $2.35\times10^{-1}$ times as many miles as Titan's circumference.

d)

Saturn's circumference is approximately $2.35\times10^9$ times as many miles as Titan's circumference.

14.

The circumference of Earth measures approximately $2.5\ \times10^4$ miles, and the circumference of the planet Jupiter is roughly $2.75\times10^5$ miles.
Which statement is correct?

a)

Jupiter's circumference is approximately 1.1 times as many miles as Earth's circumference.

b)

Jupiter's circumference is approximately $11\times10^0$ times as many miles as Earth's circumference.

c)

Jupiter's circumference is approximately $11\times10^1$ times as many miles as Earth's circumference.

d)

Jupiter's circumference is approximately $1.1\times10^9$ times as many miles as Earth's circumference.

15.

The mass of the Sun is approximately 1.989 $\times10^{30}$ kilograms, while the mass of Jupiter is about 1.898 $\times10^{27}$ kilograms.
Which answer is closest to the difference between the mass of the Sun and the mass of Jupiter?

a)

$1.987\times10^{30}$

b)

$1.987\times10^{27}$

c)

$9.1\times10^1$

d)

$9.1\times10^3$

16.

Identify the scientific notation that is equivalent to each expression.

a)

$\left(1.7\ \times10^{-1}\right)\times\left(1.7\ \times10^4\right)=2.89\ \times10^3$

b)

$\left(1.7\ \times10^{-1}\right)\times\left(1.7\ \times10^4\right)=2.89\ \times10^{-3}$

c)

$\left(1.7\ \times10^1\right)\times\left(1.7\ \times10^4\right)=2.89\ \times10^1$

d)

$0.017\times\left(1.7\ \times10^3\right)=2.89\ \times10^1$

17.

Elizabeth and Haley each bought a number of bracelets. Elizabeth's purchases can be modeled with the equation

T = 6.25b, where b represents the number of bracelets bought, and T represents the total cost in dollars. Haley's purchases are shown in the table below.

Select the options that correctly compares their purchase.

a)

Elizabeth found a better deal because each of her bracelets costs $0.50 less.

b)

Haley found a better deal because each of her bracelets costs $6.50 less

c)

Haley found a better deal because each of her bracelets costs $0.50 less.

d)

Neither found a better deal because each of her bracelets costs the same as the other.

18.

Book Store A sells 25 books for a total of $393.75. The equation y = 5.25x represents the cost of buying x books from Book Store B.

Select the options that correctly completes the sentence.

The price per book at Book Store_________

is higher.

a)

A

b)

B

c)

Neither

d)

Both

19.

Book Store A sells 25 books for a total of $393.75. The equation y = 5.25x represents the cost of buying x books from Book Store B.

Select the options that correctly complete the sentence.

The price per book at Book Store B is Choose_______

the price per book at Book Store A.

a)

One-third

b)

One-half

c)

Twice

d)

Three times

20.

a)

Edwin found a better deal because his games cost $1.25 less.

b)

Percy found a better deal because his games cost $2.50 less

c)

Neither found a better deal because his games cost $0.75.

d)

Both found a better deal because his games cost the same.

21.

Select the options that correctly completes the statement.

The slope of line segment DF is equal to the slope of line segment FH because the ratio of ______ is equal to the ratio of ______.

a)

DF to DE; FG to GH

b)

DE to EF; DF to FG

c)

DE to EF; FG to GH

d)

EF to FH; FH to GH

22.

Select the options that correctly complete the sentence.

The slope of line segment PR is equal to the slope of line segment RT because the ratio of______ is equal to the ratio of _____.

a)

PQ to PR; RS to ST

b)

QR to RT; RT to ST

c)

PQ to QR; RS to PT.

d)

PQ to QR; RS to ST

23.

Select the options that make the following statement true.

The student solved the equation______ because the original equation has ______ .

a)

Incorrectly; One solution

b)

Correctly; Infinitely many solutions

c)

Correctly; One solution

d)

Incorrectly; No solution

24.

Select the options that make the following statements true.

Wesley solved the equation _____ because the original equation has ______ .

a)

Incorrectly; one solution

b)

Correctly; one solution

c)

Correctly; no solution

d)

Incorrectly; infinite solutions

25.

Allison was given the equation 4(8x + 4) = 6(4x - 8).

Allison simplified 4(8x + 4) to ______ and 6(4x - 8) to _____.

Select the options that correctly complete the sentences.

a)

32x + 16; 24x -48

b)

8x+16; 10x-2

c)

20x-7; 6x+12

d)

10x-4; 5x+48

26.

Use the information provided to answer Part A and Part B.

Allison was given the equation 4(8x + 4) = 6(4x - 8).

Select the options that correctly complete the sentence.

She determined that the equation had______ .

a)

No solution

b)

Infinte solutions

c)

Solution of 8

d)

Solution of -8

27.

When graphed on the same coordinate plane, which equation results in a system of equations with exactly one solution?

a)

9x + 6y = -3

b)

3x + 2y = -8

c)

6x - 4y = 16

d)

3x + 2y = 8

28.

When graphed on the same coordinate plane, which equation results in a system of equations with exactly one solution?

a)

6x−3y = −21

b)

3x+6y = 6

c)

−4x+2y = −4

d)

−8x+4y = 12

29.

Part A.

At what number of visits will both plans cost the same?

Part B.

Which plan is more expensive at the the tenth visit?

a)

1; 11

b)

9; 2

c)

11;1

d)

12; 1

30.

Felicia correctly created a scatter plot of the data in the table. Which statement is true based on her scatter plot?

a)

There is a nonlinear association.

b)

There is at least one outlier.

c)

There is positive linear association.

d)

There is negative linear association.

31.

Sylvia correctly created a scatter plot of the data in the table. Which statement is true based on her scatter plot?

a)

There is positive linear association.

b)

There is negative linear association.

c)

There is a nonlinear association.

d)

There is at least one outlier.

32.

Which statements describe the patterns in the scatter plot? Select all that apply.

a)

There is a linear association in the data.

b)

There is a nonlinear association in the data.

c)

There is an outlier in the data.

d)

There is a positive association in the data.

e)

There is a negative association in the data.

33.

Which statements describe the patterns in the scatter plot? Select all that apply.

a)

There is an outlier in the data.

b)

There is a clustering in the data.

c)

There is a linear association in the data.

d)

There is a positive association in the data.

e)

There is a nonlinear association in the data.

34.

Which graph shows the best linear model of the scatter plot data?

a)

b)

c)

d)

35.

Which graph shows the best linear model of the scatter plot data?

a)

b)

c)

d)

36.

The function y = 2.8x + 53.2 represents the estimated temperature of an island in degrees Fahrenheit after x weeks.

Which statements are correct about the linear model? Select all that apply.

a)

The island's temperature increases about 53.2 degrees F each week.

b)

The island's temperature increases about 2.8 degrees F each week.

c)

The island's temperature decreases 2.8 degrees F each week.

d)

The initial temperature of the island is 53.2 degrees F.

e)

The initial temperature of the island is 2.8 degrees F.

37.

Bert has some money in his wallet. Bert starts working at a restaurant where he earns an hourly wage which he places in his wallet. His increasing amount of money can be represented by the linear model y = 9.75x + 67.35, where x is the number of hours Bert works at the restaurant, and y is the total amount of money.

Based on the linear model, Bert had $________ before his job, and his total amount of money increases by $ _______ for each hour that he works.

a)

$67.35; $9.50

b)

$67.35; $9.75

c)

$9.75; $67.50

d)

$9.75; $67.35

38.

For the table to represent a function, which values can be substituted for the missing x value? Select all that apply.

a)

5

b)

6

c)

7

d)

10

e)

11

39.

Which ordered pairs should be removed to make the graph a function?

a)

( -2, 2) and ( 2, -1)

b)

( -4, -2) and ( 7, 7)

c)

( 1, 5) and ( 5, 1)

d)

( 0, 4) and ( 3, -3)

40.

Which set of ordered pairs can be plotted on the graph so that the graph continues to represent a function?

a)

(-8, 2), (-7, 4), (-6, 6)

b)

(0, -6), (1, 4), (2, -8)

c)

(-1, -6), (0, -6), (1, -6)

d)

(-9, 1), (-8, 2), (-7, 3)

41.

Select Function A or Function B to identify which function is describe.

Function with the greater initial value is ______

Function with the greater rate of change is______

Function that produces an output value of 40 when the input value of 4 is _______

a)

A,A,A

b)

A,B,A

c)

A,B,B

d)

B,A,B

42.

Sam is earning money by mowing lawns, while his friend Will is getting paid to tutor. Sam's money can be represented by the function M = 25w + 75, where w is the number of weeks since Sam began working, and M is the total amount of money possessed in dollars. The table below models Will's money and earnings.

Select the options that correctly complete the statements.

Part A

Sam's rate of change is _____ Will's rate of change.

Part B

Sam's initial amount of money possessed before his mowing job is ________Will's initial amount before tutoring.

a)

greater than; less than

b)

less than; greater than

c)

the same as; the same as

d)

greater than; greater than

43.

Identify if each equation is Linear or Not Linear.

a)

L,L,L,L, and NL

b)

NL, L, L, L,NL

c)

NL,L,NL,L,L

d)

L,L,NL,L,NL

44.

Which equations represent nonlinear functions? Select all that apply.

a)

−x = y

b)

$y=x-3\ +x^2$

c)

$y=\frac{4}{3}x-5$

d)

$y=\frac{2}{x}-3$

e)

$2x^3-x+2y=2\left(3x-6y+x^3\right)$

45.

Which equations represent linear functions? Select all that apply.

a)

y = x

b)

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

c)

$y=\frac{2}{7}x-\frac{3}{8}$

d)

$y=4x+x^2$

e)

x = 3y +3

46.

Which statements are correct about the relationship? Select all that apply.

a)

The value of the car decreases by $5,000 every 3 years.

b)

The value of the car decreases by $5,000 every 2 years.

c)

After 10 years, the car is worth $5,000.

d)

The value of the car when it was brand new was $25,000

e)

The relationship can be modeled by the linear function

y = -2,000x + 25,000.

47.

Which statements are correct about the relationship? Select all that apply.

a)

After 12 years, the house is worth $160,000.

b)

The value of the house increases by $20,000 every 2 years.

c)

The value of the house increases by $20,000 every 3 years.

d)

The relationship can be modeled by the linear function

V = 80,000t + 60,000.

e)

The value of the house when it was brand new was $90,000.

48.

Which statements are true? Select all that apply.

a)

The function is decreasing between x = -3 and x = -2.

b)

The function is linear between x = 6 and x = 10.

c)

The function is increasing between x = 1 and x = 4.

d)

The function is nonlinear between x = -2 and x = 1.

e)

The function is nonlinear between x = -7 and x = -5.

49.

Select the options that correctly complete the sentences.

When x is between 0 and 4, the function is _____.

When x is between -3 and 0, the function is _____ .

a)

increasing; increasing

b)

decreasing; increasing

c)

decreasing; decreasing

d)

neither increasing nor decreasing; decreasing

50.

While the students had rectangle ZYXW reflected across the y-axis to produce rectangle
Z′Y′X′W′, the director took two measurements.

Part A
What is the length of $\overline{Y'X'}$ ?
Part B
What is the length of $\overline{Y'Z'}$ ?

a)

15; 10

b)

10; 15

c)

20; 15

d)

10,15

51.

While the clowns had rectangle JKMN
JKMN rotated 90o clockwise about the origin to produce rectangle J′K′M′N′, two measurements are taken.

Part A
What is the length of $\overline{J'N'}$ ?
Part B
What is the length of $\overline{N'M'}$ ?

a)

3; 5

b)

1; 2

c)

5;3

d)

3; 2

52.

Which statement describes the solution(s) to the system of equations 3x + 4y = 7 and 12x + 16y = 21?

a)

The system has a solution of (1, 1).

b)

The system has a solution of (7, 0).

c)

The system has a no solution.

d)

The system has infinitely many solutions.

53.

Which statement describes the solution(s) to the system of equations y = -8x + 8 and 5x + 3y = 5?

a)

The system has infinitely many solutions.

b)

The system has no solution.

c)

The system has a solution of (1, 0).

d)

The system has a solution of (8, 0).

54.

Part A

At what number of visits will both plans cost the same?

Part B

Which plan is more expensive at the the 8th visit? Write the letter of the plan in the box.

a)

5; A

b)

5;B

c)

6;A

d)

6;B

55.

Two parallel lines are graphed on a coordinate plane. Line k

k contains the points

P (3, -2) and Q (5, -6). Line j contains the points R (4, -2) and S (6, -6).

After each transformation, in what quadrant will the points P'Q'R'S' be located, and will image P'Q' be parallel to image R′S′?

Select the appropriate boxes in each row.

a)

b)

c)

d)

56.

Which series of transformations proves the two triangles are congruent?

a)

Reflect △QRS across the x-axis and then rotate $90\degree$ counterclockwise about the origin.

b)

Rotate △QRS $270\degree$ clockwise about the origin and then reflect across the y-axis.

c)

Reflect △QRS across the y-axis and then translate 9 units up.

d)

Translate △QRS△QRS 12 units to the left and then translate 9 units up.

57.

The students then moved on the stage so that the platform formed a congruent rectangle with the coordinates Z′' (30, -5), Y′(30, -20), X′ (20, -20), W′ (20, -5).

Select the box in each row to identify the appropriate transformations in the correct order to show that rectangle Z'Y'X'W. Z′Y′X′W′ is congruent to rectangle ZYXW

ZYXW. Not every transformation will be used.

a)

b)

c)

d)

58.

Then the clowns move to make rectangle JKMN

JKMN rotate 90o clockwise about the origin producing rectangle J′K′M′N′.

What are the coordinates of J′?

a)

(2,8)

b)

(-2,-8)

c)

(6,8)

d)

(8,6)

59.

Triangle JKL is rotated $90\degree$ clockwise around the origin resulting in Triangle J′K′L′.

What are the coordinates of L′ ?

a)

(1, 4)

b)

(-1, -4)

c)

(4, 1)

d)

(-4, -1)

60.

Triangle ZYX is rotated $270\degree$ clockwise around the origin resulting in Triangle Z'Y'X'.

What are the coordinates of X' ?

a)

(-4, 4)

b)

(-1, -4)

c)

(-2, 2)

d)

(2, -2)

61.

Which statement describes a sequence of transformations that can be used to verify that rectangle Q′R′S′T′ is similar to rectangle QRST?

a)

Dilation of rectangle QRST by a $\frac{1}{2}$ scale factor of about the origin, followed by a reflection across the y-axis .

b)

Dilation of rectangle QRST by a scale factor of $\frac{1}{2}$ about the origin, followed by a $180\degree$ rotation about the origin.

c)

Dilation of rectangle QRST by a scale factor of 2 about the origin, followed by a translation 4 units up and 8 units to the left.

d)

Dilation of rectangle QRST by a scale factor of 2 about the origin, followed by $180\degree$ rotation about the origin.

62.

Which statement describes a sequence of transformations that can be used to verify that rectangle Z'Y'X'W' is similar to rectangle ZYXW?

a)

Dilate rectangle ZYXW with a scale factor of $\frac{1}{2}$ about the origin, followed by a translation 14 units up and 12 units to the left.

b)

Dilate rectangle ZYXW with a scale factor of $\frac{1}{2}$ about the origin, followed by a reflection across the y-axis.

c)

Dilate rectangle ZYXW with a scale factor of 2 about the origin, followed by a $180\degree$ rotation about the origin.

d)

Dilate rectangle ZYXW with a scale factor of 2 about the origin, followed by a translation 14 units up and 12 units to the left.

63.

What is the measure of ∠x?

a)

$84\degree$

b)

$86\degree$

c)

$94\degree$

d)

$96\degree$

64.

What is the measurement of the angle labeled $\left(15x\right)\degree?$

a)

$7\degree$

b)

$15\degree$

c)

$75\degree$

d)

$105\degree$

65.

Pablo used side lengths a, b, and c to make different triangles. When Pablo only changed the length of side b

b, he noticed patterns with the side lengths used and the types of triangles formed.

Which statement is true from Pablo's observation?

a)

If the length of side b
is equal to $a^2+b^2$ , the triangle formed is a right triangle.

b)

If the length of side b is equal to $c^2-a^2$ , the triangle formed is a right triangle.

c)

If the length of side b is equal to $\sqrt{c^2-a^2}$ the triangle formed is a right triangle.

d)

If the length of side b is equal to $\sqrt{a^2+c^2}$ the triangle formed is a right triangle.

66.

A triangle is created with side lengths of 12 inches, 32 inches, and 34 inches. Is the triangle a right triangle?

a)

The triangle is a right triangle because $12^2+32^2=34$

b)

The triangle is a right triangle because $34^2-32^2=12^2$

c)

The triangle is not a right triangle because $12^2+32^2\ne34^2$

d)

The triangle is not a right triangle because $34^2-32^2\ne12$

67.

A triangle is created with side lengths of 9 inches, 41 inches, and 40 inches. Is the triangle a right triangle?

a)

The triangle is not a right triangle because

41^2\ne40^2+9^2

.

b)

The triangle is not a right triangle because . $41+40=9^2$

c)

The triangle is a right triangle because $9^2+40^2=41$

d)

The triangle is a right triangle because $41^2-9^2=40^2$

68.

What is the length of the ladder?

a)

8

b)

20

c)

21

d)

10

69.

What is the length of the diagonal brace from point X to point Z?

a)

5 inches

b)

13 inches

c)

14 inches

d)

15 inches

70.

What is the length of the diagonal brace?

a)

13 inches

b)

17 inches

c)

26 inches

d)

40 inches

71.

Which distance best represents the shortest distance from the school to the library? Round to the nearest tenth of a mile.

a)

12.0 miles

b)

12.6 miles

c)

13.7 miles

d)

16.0 miles

72.

What is the distance, in miles, between Austin and Joan?

a)

10 miles

b)

15 miles

c)

20 miles

d)

25 miles

73.

Caleb wants to inflate his spherical volleyball. The ball is completely empty right now and has a diameter of 10 inches.

What volume of air, in cubic inches, does Caleb need to pump into the volleyball to fill it completely? Use 3.14 for π

π.

a)

$523.33\ in^3$

b)

$294.38\ in^3$

c)

$392.50\ in^3$

d)

$104.67\ in^3$

74.

A cylindrical object has a cone-shaped hole in one of its bases. That cylindrical object has a radius of 5 inches and a height of 15 inches, and the hole is 9 inches deep with a diameter of 6 inches.

What is the volume of the cylindrical object, in cubic inches? Use 3.14 for π

π.

a)

$838.38\ in^3$

b)

$923.16\ in^3$

c)

$1092.72\ in^3$

d)

$1262.28\ in^3$

75.

Sally has a cylindrical swimming pool. The diameter of the pool is 12 feet.

If the water in the swimming pool has a volume of 509 cubic feet, what is the height of the water in the pool, in feet?

Use 3.14 for π

π, and round your answer to the nearest tenth.

a)

5.57

b)

3.51

c)

4.5

d)

2.89

76.

Alfred uses a cylindrical pail to build a sand castle. The diameter of the pail is 18 centimeters.

If the resulting sand castle has a volume of about 8393 cubic centimeters, what is the height of Alfred's pail, in centimeters? Use 3.14 for π

π, and round your answer to the nearest tenth.

a)

22

b)

11.0

c)

44.8

d)

33.0

3rd 9 Weeks Review

Total questions: 76

Worksheet time: 8hrs 48mins

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