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Worksheets

AZM2 Math Prep

Total questions: 38

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

Square 𝐴𝐵𝐶𝐷 is has been rotated 180 °\degree   and translated to become square 𝑊𝑋𝑌𝑍. Which statement is TRUE?

a)

  A   Y\angle\ A\ \cong\ \angle\ Y  

b)

  D   X\angle\ D\ \cong\ \angle\ X  

c)

 BC  ZW\overline{BC}\ \cong\ \overline{ZW}  

d)

 CD  YZ\overline{CD}\ \cong\ \overline{YZ}  

2.

If line segment RS\overline{RS} went through the following sequence of transformations, in which quadrant would it land? 


𝑹𝒐𝒕𝒂𝒕𝒊𝒐𝒏 𝟗𝟎 °\degree  𝒄𝒐𝒖𝒏𝒕𝒆𝒓−𝒄𝒍𝒐𝒄𝒌𝒘𝒊𝒔𝒆 → 𝑹𝒆𝒇𝒍𝒆𝒄𝒕𝒊𝒐𝒏 𝒂𝒄𝒓𝒐𝒔𝒔 𝒕𝒉𝒆 𝒙−𝒂𝒙𝒊𝒔 → 𝑻𝒓𝒂𝒏𝒔𝒍𝒂𝒕𝒊𝒐𝒏 𝟓 𝒖𝒏𝒊𝒕𝒔 𝒍𝒆𝒇𝒕

a)

𝑄𝑢𝑎𝑑𝑟𝑎𝑛𝑡 𝐼

b)

𝑄𝑢𝑎𝑑𝑟𝑎𝑛𝑡 𝐼𝐼

c)

𝑄𝑢𝑎𝑑𝑟𝑎𝑛𝑡 𝐼𝐼𝐼

d)

𝑄𝑢𝑎𝑑𝑟𝑎𝑛𝑡 𝐼𝑉

3.

If line segment  RS\overline{RS}   shown above was reflected across the x-axis, what would be the resulting coordinates of  RS\overline{R'S'}  ?

a)

𝑅′ (−6,−3),  𝑆′ (−2,−3)

b)

𝑅′ (6,−3),  𝑆′ (2,−3)

c)

𝑅′ (−6,3),  𝑆′ (−2,3)

d)

𝑅′ (6,3),  𝑆′ (2,3)

4.

If line segment  RS\overline{RS}  shown above was translated 3 units right and then dilated by 𝑘=2, what would be the resulting coordinates of  RS\overline{R'S'} ?

a)

𝑅′ (−6,−6),  𝑆′ (2,−6)

b)

𝑅′ (−12,−6),  𝑆′ (−4,−6)

c)

𝑅′ (−12,0),  𝑆′ (−4,0)

d)

𝑅′ (−9,−3),  𝑆′ (−1,−3)

5.

Triangle 𝑈𝑉𝑊 and 𝑈𝑋𝑌 are shown below. Based on the information given, what can be determined about the two triangles?

a)

Similar & Congruent

b)

Similar only

c)

Congruent Only

d)

Neither Similar nor Congruent

6.

Given the figure below, what is the value of 𝑦 °\degree  ?

a)

 133°133\degree  

b)

 118°118\degree  

c)

 109°109\degree  

d)

 71°71\degree  

7.

In the figure below, line 𝑝 is parallel to line 𝑠, what is the value of 𝑥 °\degree  ?

a)

 75°75\degree  

b)

 73°73\degree  

c)

 148°148\degree  

d)

 32°32\degree  

8.

Which equation will have only one solution?

a)

2.5(𝑥 − 2) = 2.5𝑥 − 2

b)

3(𝑥 + 3) = 6𝑥 + 5

c)

13x = 13x\frac{1}{3}x\ =\ \frac{1}{3}x

d)

7 − 2𝑥 = −2𝑥 + 7

9.

Solve for x:  12(4x10)=13(9x+12)\frac{1}{2}\left(4x-10\right)=\frac{1}{3}\left(9x+12\right)  

a)

𝑥 = 9

b)

𝑥 = −9

c)

𝑥 = 1

d)

𝑥 = −1

10.

Evaluate:  27×213221\frac{2^7\times2^{13}}{2^{21}}  

a)

 2412^{41}  

b)

 22  

c)

 12\frac{1}{2}  

d)

 2-2  

11.

Solve for x:  x2=289x^2=289  

a)

17

b)

 ± 17\pm\ 17  

c)

144.5

d)

 ±144.5\pm144.5  

12.

Which of the following is a RATIONAL number?

a)

π10\pi^{10}

b)

1.71.\overline{7}

c)

10\sqrt{10}

d)

0.763...0.763...

13.

Which expression below has the LEAST value ?

a)

8π8\pi

b)

400\sqrt{400}

c)

41004\sqrt{100}

d)

242^4

14.

Which expression shows  12.34×10512.34\times10^{-5}    written in proper scientific notation?

a)

 1.234×1051.234\times10^{-5}  

b)

 1.234×1041.234\times10^{-4}  

c)

 1.234×1031.234\times10^{-3}  

d)

 1.234×1061.234\times10^{-6}  

15.

Add:  (1×105)+(2×104)\left(1\times10^5\right)+\left(2\times10^4\right)  

a)

 1.2×1051.2\times10^5  

b)

 1.2×1091.2\times10^9  

c)

 3×1093\times10^9  

d)

 3×1053\times10^5  

16.

What is most likely to represent the length of a pencil?

a)

7.5×1017.5\times10^{-1} inches

b)

7.5×1007.5\times10^0 inches

c)

7.5×1017.5\times10^1 inches

d)

7.5×1027.5\times10^2 inches

17.

Given the figure , what is the missing side length b?

a)

9

b)

81

c)

57

d)

41

18.

Which equation will solve to find the side length of side a in the right triangle below?

a)

a=b2+c2a=b^2+c^2

b)

a=c2b2a=c^2-b^2

c)

a=b2+c2a=\sqrt{b^2+c^2}

d)

a=c2b2a=\sqrt{c^2-b^2}

19.

What is the TOTAL distance from point 𝐴 to point 𝐵 to point 𝐶?

a)

5

b)

10

c)

11

d)

13

20.

A cone has a diameter of 16 cm and a height of 11 cm. What is the volume of the cone? Leave in terms of 𝜋.

a)

234.7π cm3234.7\pi\ cm^3

b)

938.7π cm3938.7\pi\ cm^3

c)

704π cm3704\pi\ cm^3

d)

2816π cm32816\pi\ cm^3

21.

Which statement best describes the graph below?

a)

Relation only

b)

Function only

c)

Relation and Function

d)

Neither Relation nor Function

22.

Compare the functions:

a)

The functions have the same slope and same y- intercepts.

b)

The functions have the same slope, but the y-intercept of Function B is greater than the y-intercept of Function A.

c)

The functions have different slopes but the same y-intercepts.

d)

The functions have different slopes and the y-intercept of Function B is greater than the y-intercept of Function A.

23.

Which graph would most likely be the
graph of the equation?   y=xy=-x  

a)

A

b)

B

c)

C

d)

D

24.

Which choice correctly describes the graph?

a)

Linear & Nonlinear

b)

Linear

c)

Nonlinear

d)

Non of the above

25.

Which equation best represents the table?

a)

y=2x+10y=-2x+10

b)

y=2x+16y=-2x+16

c)

y=2x+10y=2x+10

d)

y=2x+16y=2x+16

26.

During which interval is the rate of change

“zero”?

a)

AB

b)

BC

c)

CD

d)

DE

27.

Riley is buying soda for a party. Which

option will be the cheapest per ounce?

a)

A

b)

B

c)

C

d)

D

28.

Triangle 𝐹𝐺𝐻 and triangle 𝑅𝑆𝑇 are similar

and both have hypotenuses that sit on line FT . Which

statement is TRUE?

a)

The distance between FH

and RT is the same.

b)

The slope between FH

and RT is the same.

c)

ΔFGH ΔRST\Delta FGH\ \cong\ \Delta RST

d)

FG RSFG\ \cong\ RS

29.

Which equation will travel through the

origin but will NOT be a straight line?

a)

y=xy=x

b)

y=xy=-x

c)

y=x2y=x^2

d)

y=x2+1y=x^2+1

30.

Which scatter plot best represents the

table?

a)
b)
c)
d)
31.

What relationship does the scatter plot

above suggest?

a)

Positive and linear

b)

Negative and linear

c)

Positive and nonlinear

d)

Negative and nonlinear

32.

Which equation represents the most accurate line of best fit for the scatter plot?

a)

y=xy=x

b)

y=x+1y=x+1

c)

y=23 x+1y=\frac{2}{3\ }x+1

d)

y=23 xy=\frac{2}{3\ }x

33.

The scatter plot below shows the total

level of rainfall on a particularly rainy day. Interpret the

slope 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

34.

Fifty-five college students were surveyed

and asked whether or not they have had a car accident and whether or not they text and drive. Which correlation shows the strongest trend?

a)

Those text and drive are not likely to be in an accident

b)

Those text and drive are likely to be in an accident

c)

Those who do not text and drive are likely to be in an

accident

d)

None of the correlations listed are correct.

35.

What percentage of total students

surveyed did not text and drive and did not have car accidents?

a)

40%

b)

36%

c)

20%

d)

71%

36.

What is the solution to the system of

equations?

a)

One solution; (2, 6)

b)

One solution; (6, 2)

c)

No solution; the lines will never cross because the slopes are the same but y-intercepts are not.

d)

Infinite solutions; the lines have the same slopes but different y-intercepts.

37.

What is the solution to the system of

equations?

a)

One solution; (7, 10)

b)

One solution; (10, 7)

c)

Infinite solutions

d)

No solutions

38.

The local theater is selling tickets to their

upcoming production. Tickets are $12 for adults and $5

for children. On the first day tickets went on sale, the

theater sold 52 tickets for a total of $540.00. How many

adult tickets were sold?

a)

12 𝐴𝑑𝑢𝑙𝑡 𝑡𝑖𝑐𝑘𝑒𝑡𝑠

b)

35 𝐴𝑑𝑢𝑙𝑡 𝑡𝑖𝑐𝑘𝑒𝑡𝑠

c)

40 𝐴𝑑𝑢𝑙𝑡 𝑡𝑖𝑐𝑘𝑒𝑡𝑠

d)

17 𝐴𝑑𝑢𝑙𝑡 𝑡𝑖𝑐𝑘𝑒𝑡𝑠