Free Printable AZM2 Prep

1.

Figure 𝐴𝐵𝐶𝐷𝐸𝐹 is congruent to figure 𝐺𝐻𝐼𝐽𝐾𝐿. Which statement is TRUE?

a)

∠ 𝐴 ≅ ∠ 𝐿

b)

∠ 𝐸 ≅ ∠ 𝐾

c)

∠ 𝐶 ≅ ∠ 𝐺

d)

∠ 𝐹 ≅ ∠ 𝐽

2.

Angle 𝐴𝐵𝐶 has been transformed by a sequence of transformations to become angle 𝐴′𝐵′𝐶′. Which sequence best describes the transformation?

a)

Reflection y-axis; reflection x-axis

b)

Reflection y-axis; translation up 3 units

c)

Rotation 180 about the origin; translation up 2 units

d)

Rotation 180 about the origin

3.

Given the figure, what is the most likely transformation that occurred?

a)

Rotation 90 counter- clockwise about the origin

b)

Rotation 90 clockwise about the origin

c)

Reflection x-axis

d)

Translation right 1 unit; up 5 units

4.

Which sequence of transformations will produce figures that are similar but not congruent?

a)

𝑅𝑒𝑓𝑙𝑒𝑐𝑡𝑖𝑜𝑛 → 𝑅𝑜𝑡𝑎𝑡𝑖𝑜𝑛 → 𝑇𝑟𝑎𝑛𝑠𝑙𝑎𝑡𝑖𝑜𝑛

b)

𝑅𝑒𝑓𝑙𝑒𝑐𝑡𝑖𝑜𝑛 → 𝑇𝑟𝑎𝑛𝑠𝑙𝑎𝑡𝑖𝑜𝑛 → 𝑅𝑒𝑓𝑙𝑒𝑐𝑡𝑖𝑜𝑛

c)

𝑅𝑜𝑡𝑎𝑡𝑖𝑜𝑛 → 𝑅𝑒𝑓𝑙𝑒𝑐𝑡𝑖𝑜𝑛 → 𝑅𝑜𝑡𝑎𝑡𝑖𝑜𝑛

d)

𝑅𝑜𝑡𝑎𝑡𝑖𝑜𝑛 → 𝐷𝑖𝑙𝑎𝑡𝑖𝑜𝑛 → 𝑅𝑒𝑓𝑙𝑒𝑐𝑡𝑖𝑜𝑛

5.

Given the figure below, if 𝑚∠𝑎 = 59 and 𝑚∠𝑥 = 103, what is 𝑚∠𝑦?

a)

$44\degree$

b)

$162\degree$

c)

$77\degree$

d)

$59\degree$

6.

In the figure , line 𝑙 is parallel to line 𝑚, and they are cut by a transversal. If 𝑚∠𝑡 = 89, which angle also measure 89?

a)

$y$

b)

$v$

c)

$w$

d)

$u$

7.

Solve for x: $5.1\left(x-3\right)=5.1x-3$

a)

One solution; $𝑥=−12.3$

b)

One solution; $𝑥=18.3$

c)

Infinite solutions; $x=x$

d)

No solutions; $−15.3\ ≠\ −3$

8.

Solve for x: $3.2\left(x+2\right)=5.9x-11-2.4x$

a)

$x=2.6$

b)

$x=1$

c)

$x=58$

d)

$x=-15.\overline{3}$

9.

Evaulate: $8^{-3}$

a)

$\frac{1}{24}$

b)

$\frac{1}{512}$

c)

$-24$

d)

$-512$

10.

Which of the following represents: $0.\overline{13}$

a)

$\frac{13}{100}$

b)

$\frac{13}{99}$

c)

$\frac{2}{15}$

d)

$\frac{1}{13}$

11.

Sound travels at a speed of 767 miles per
hour. What is this speed in scientific notation?

a)

$7.67\times10^{-2}$

b)

$7.67\times10^2$

c)

$7.67\times10^3$

d)

$7.67\times10^1$

12.

Divide: $\frac{3.12\times10^{20}}{6\times10^5}$

a)

$5.2\times10^{25}$

b)

$5.2\times10^{15}$

c)

$5.2\times10^{16}$

d)

$5.2\times10^{14}$

13.

What is the radius of the cone?

a)

$5\ cm$

b)

$10\ cm$

c)

$15\ cm$

d)

$12\ cm$

14.

What is the approximate distance between

point 𝐸 and point 𝐹 ?

a)

8 units

b)

5.8 units

c)

6.2 units

d)

5.1 units

15.

A sphere has a radius of 10 𝑐𝑚. What is the

approximate volume? Use 3.14 𝑓𝑜𝑟 𝜋.

a)

$4187\ cm^3$

b)

$133\ cm^3$

c)

$418\ cm^3$

d)

$1333\ cm^3$

16.

Which set of coordinates does NOT

represent a function?

a)

A

b)

B

c)

C

d)

D

17.

Compare the functions:

a)

Both functions have increasing rates of change

b)

Both functions have decreasing rates of change

c)

Function A has an increasing rate of change while Function B has a decreasing rate of change

d)

Function A has a decreasing rate of change while Function B

has an increasing rate of change.

18.

Which graph would most likely be the
graph of the equation? $y=-\frac{2}{3\ }x+1.5$

a)

A

b)

B

c)

C

d)

D

19.

Which choice correctly describes the table?

a)

Linear & Nonlinear

b)

Linear

c)

Nonlinear

d)

Neither

20.

Which equation best represents the line

graphed below?

a)

$y=2x+2$

b)

$y=x+2$

c)

$y=-x+2$

d)

$y=-2x-2$

21.

Which interval shows the greatest rate of

change?

a)

$\overline{AB\ }$

b)

$\overline{BC\ }$

c)

$\overline{CD\ }$

d)

$\overline{DE\ }$

22.

Which situation shows the CHEAPEST price

per pound?

a)

A

b)

B

c)

C

d)

D

23.

Triangle 𝐹𝐺𝐻 and triangle 𝑅𝑆𝑇 are similar
and both have hypotenuses that sit on line $\overline{FT\ }$ . Which
statement of proportionality is TRUE?

a)

$\frac{FG}{GH}=\frac{RS}{ST}$

b)

$\frac{FG}{FH}=\frac{ST}{RT}$

c)

$\frac{GH}{FH}=\frac{ST}{RS}$

d)

$\frac{FH}{FG}=\frac{ST}{RT}$

24.

Which equation will show the graph of a

straight line decreasing and traveling through the origin?

a)

$y=7x$

b)

$y=7x+1$

c)

$y=-7x$

d)

$y=-7x+1$

25.

What relationship does the scatter plot

above suggest?

a)

Positive correlation

b)

Negative correlation

c)

Positive and negative correlation

d)

No correlation

26.

Which graph shows the most accurate line

of best fit?

a)

A

b)

B

c)

C

d)

D

27.

The scatter plot below shows the total level of rainfall on a particularly rainy day. Interpret the y-intercept of the line of best fit.

a)

The average rainfall measured each hour

b)

The total rainfall at the end of the day

c)

The rainfall at the beginning of the day

d)

The hour that received the most rainfall that day

28.

Sixty middle school students were surveyed and asked whether or not they played an instrument and whether or not they were on the honor roll that semester. Which trend does the data suggest?

a)

Those who played an instrument were more likely to make honor roll.

b)

Those who played an instrument were likely to not make honor roll.

c)

Those who did not play an instrument were likely to make honor roll.

d)

None of the correlations listed are correct.

29.

What percentage of students who played an instrument also made honor roll?

a)

91%

b)

31%

c)

52%

d)

65%

30.

What percentage of students did not make honor roll?

a)

20%

b)

75%

c)

15%

d)

43%

31.

What is the solution to the system of equations graphed below?

a)

$\left(-2,\ -3\right)$

b)

$\left(-3,\ -2\right)$

c)

$\left(0,\ -5\right)$

d)

$\left(-5,\ -0\right)$

32.

What is the solution to the system of

equations?

a)

One solution; (12, 12)

b)

One solution; (0, −6)

c)

Infinite solutions

d)

No solutions

33.

There are 10 animals in a barn; some pigs, some ducks. There are a total of 34 legs between the 10 animals. Which system of equations could be used to solve how many of each animal are in the barn?

a)

A

b)

B

c)

C

d)

D

34.

Evaluate: $\frac{8^{-5}}{8^{-4}}$

a)

$\frac{1}{8}$

b)

$\frac{1}{8^9}$

c)

$8$

d)

$-8$

35.

The information below shows the travel distances between cities:
𝑵𝒆𝒘 𝒀𝒐𝒓𝒌 𝑪𝒊𝒕𝒚 → 𝑷𝒂𝒓𝒊𝒔: $3.625×10^3$ 𝑚𝑖𝑙𝑒𝑠
𝑷𝒂𝒓𝒊𝒔 → 𝑹𝒐𝒎𝒆: $8.82×10^2$ 𝑚𝑖𝑙𝑒𝑠

If a traveler starts in NYC, stops in Paris, and then continues on to Rome, what is the total distance traveled?

a)

$4.507\times10^{3\ }\ miles$

b)

$1.2445\times10^{3\ }\ miles$

c)

$4.507\times10^{5\ }\ miles$

d)

$1.2445\times10^{5\ }\ miles$

36.

Which expression is best represented by point 𝑃 on the number line below?

a)

$\sqrt{15}$

b)

$\sqrt{30}$

c)

$\sqrt{150}$

d)

$\sqrt{220}$

37.

What is the approximate volume of the cone

shown below? Use 3.14 for 𝜋. Round to the nearest

whole number.

a)

$733\ cm^{3\ }$

b)

$9,221\ cm^{3\ }$

c)

$461\ cm^{3\ }$

d)

$2,303\ cm^{3\ }$

38.

Evaluate: $\frac{5^{3\ }\times5^{10}}{5^{11}}$

a)

5

b)

10

c)

25

d)

50

39.

Simplify: $\left(7.1\times10^{-3}\right)\times\left(2.2\times10^{-5}\right)$

a)

$1.562\times10^{-8}$

b)

$1.562\times10^{-2}$

c)

$1.562\times10^{-7}$

d)

$1.562\times10^{-9}$

40.

Which two integers is $\sqrt{95}$ between?

a)

8 and 9

b)

9 and 10

c)

10 and 11

d)

94 and 96

41.

In the figure below, line 𝑙 is parallel to line 𝑚, and they are cut by a transversal. Which angle pair is considered “supplementary”?

a)

s & u

b)

v & x

c)

w & u

d)

x & y

42.

Which equation will have only one solution?

a)

A

b)

B

c)

C

d)

D

43.

Solve for x: $1.2x-\left(3x+4\right)=4.7x-17$

a)

$x=2$

b)

$x=3.23$

c)

$x=7.24$

d)

$x=-2$

44.

Solve for x: $x^2=196$

a)

$14$

b)

$\pm14$

c)

$98$

d)

$\pm98$

45.

What is the approximate distance between point 𝐴 and point 𝐶?

a)

11 units

b)

22 units

c)

8 units

d)

7 units

46.

A cylinder, a cone, and a sphere all have the same height and radius. Which shape has the LEAST volume?

a)

Cylinder

b)

Cone

c)

Sphere

d)

All volumes are equal

47.

What is the solution to the system of equations shown below?

a)

(-2, 8)

b)

(2, -1)

c)

(4, 2)

d)

(6, 1)

48.

Trapezoid 𝐶𝐷𝐸𝐹 is congruent to trapezoid 𝑈𝑉𝑊𝑋. Given the figure below, which statement is TRUE?

a)

$\overline{VW}=6$

b)

$\overline{VU}=3$

c)

$\overline{WX}=2$

d)

$\overline{UX}=18$

49.

Given the figure below, which equation is FALSE?

a)

$a+b=180$

b)

$z+y=b$

c)

$a=c$

d)

$y+z=x$

50.

In the figure below, line 𝑙 is parallel to line 𝑚, and they are cut by a transversal. Which angle has a corresponding relationship to angle 𝑠?

a)

s

b)

v

c)

w

d)

u

51.

Which equation will have infinite solutions?

a)

A

b)

B

c)

C

d)

D

52.

Which of the following is IRRATIONAL?

a)

$-82$

b)

$0.6792$

c)

$\sqrt{52}$

d)

$\frac{7}{4}$

53.

What is the exact volume of the cylinder?

a)

$50.24\ cm^3$

b)

$64\pi\ cm^3$

c)

$16\ cm^3$

d)

$16\pi\ cm^3$

54.

Which choice correctly describes the mapping diagram?

a)

Function

b)

Not a Function

c)

Neither

55.

Compare the functions:

a)

Both functions have the same rate of change and same initial values.

b)

Both functions have the same rate of change but different initial values.

c)

The functions have different rates of change but the same initial values.

d)

The functions have different rates of change and different initial values.

56.

A bowling alley charges $3.50 per game as well as a $5.00 shoe rental fee. Which linear model represents the total cost (C) of a bowling alley trip depending on the number of games (g) a person decides to play?

a)

$C=3.5+5$

b)

$C=3.5+5g$

c)

$C=8.5g$

d)

$C=3.5g+5$

57.

Given the figure below, what is the measure of 𝑎?

a)

$36\degree$

b)

$54\degree$

c)

$34\degree$

d)

$126\degree$

58.

Eddie has been offered two different sales jobs, each at different companies. Each company offers a flat rate paid each day, plus a percentage of each day’s sales (s) as commission. Which company will pay Eddie a higher commission percentage based on his total sales?

a)

Company 1

b)

Company 2

c)

Company 1 & 2 will pay the same commission percentage.

d)

There is not enough information to determine who pays a higher flat rate.

59.

If you spin the spinner twice, what is the probability of spinning orange then brown?

a)

32%

b)

16%

c)

33%

d)

17%

60.

You have 6 nickels and 4 dimes in your pocket. If you take out one coin and then a second coin without replacing the first, what is the probability that both coins were nickels?

a)

30%

b)

33%

c)

36%

d)

40%

AZM2 Prep - Grade Book

Total questions: 60

Worksheet time: 5hrs 0mins

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