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2nd 9 Weeks #2

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

A recycling bin is shaped like rectangular prism and holds 3,000 m3m^3  of returnable containers. The base of the bin is 40 cm wide and 60 cm long, what is the height of the recycling bin?

a)

0.90 m

b)

1.25 m

c)

1.5 m

d)

3.00 m

2.
a)

4(c+2)(c+3)3(c−3)(c+5)\frac{4\left(c+2\right)\left(c+3\right)}{3\left(c-3\right)\left(c+5\right)}  

b)

4(c+2)(c+5)3\frac{4\left(c+2\right)\left(c+5\right)}{3}  

c)

4(c+2)(c+3)3(c−3)\frac{4\left(c+2\right)\left(c+3\right)}{3\left(c-3\right)}  

d)

4(c+2)3\frac{4\left(c+2\right)}{3}  

3.
a)
b)
c)

p−6p+1\frac{p-6}{p+1}  

d)

p+6p−1\frac{p+6}{p-1}  

4.

Find the (x,y) coordinates for the points on a circle with a radius=2 and θ=30°\theta=30\degree  

a)

(0.31, -1.98)

b)

(1,1.73)

c)

(1.73,1)

d)

(-1.98,0.31)

5.

Which equations matches the graph given? 

a)

f(x)=4sin⁡(3x)+1f\left(x\right)=4\sin\left(3x\right)+1  

b)

f(x)=4sin⁡(2π3x)+1f\left(x\right)=4\sin\left(\frac{2\pi}{3}x\right)+1  

c)

f(x)=4cos⁡(2π3x)+1f\left(x\right)=4\cos\left(\frac{2\pi}{3}x\right)+1  

d)

f(x)=−4cos⁡(2pi3x)+1f\left(x\right)=-4\cos\left(\frac{2pi}{3}x\right)+1  

6.

Sharon built this playhouse. What volume of air will the playhouse hold? Round your answer to the nearest tenth.

(a)  

7.

Solve the equation.

a)

-5

b)

5

c)

35\frac{3}{5}  

d)

−35-\frac{3}{5}  

8.

∠ BEC is formed inside a circle by intersecting chords. If minor arc BD = 94 and minor arc CA = 166, what is the measure of ∠ BEC?

a)

44°44\degree  

b)

47°47\degree  

c)

50°50\degree  

d)

53°53\degree  

9.

It takes Brad 2 hours to mow his lawn. It takes Kris 3 hours to mow the same lawn. Which equation represents how long it would take them if they work together to mow the lawn?

a)

12+1x=13\frac{1}{2}+\frac{1}{x}=\frac{1}{3}  

b)

13+1x=12\frac{1}{3}+\frac{1}{x}=\frac{1}{2}  

c)

1+x2+x=3\frac{1+x}{2+x}=3  

d)

12+13=1x\frac{1}{2}+\frac{1}{3}=\frac{1}{x}  

10.

What is 7π4\frac{7\pi}{4}  radians in degrees?

a)

300°300\degree  

b)

315°315\degree  

c)

135°135\degree  

d)

45°45\degree  

11.

Describe the cross section.

a)

rectangle

b)

square

c)

oval

d)

circle

12.

Find the length of FS.

a)

6

b)

5

c)

8

d)

9

13.

Find any points of discontinuity for the rational expression.

a)

x=-3, x=6

b)

x=5

c)

x=3, x=6

d)

x=-3, x=-6

14.

Select the 2D object that can be rotated to form the 3D object shown.

a)
b)
c)
d)
15.

What is the measure of arc AXB

a)

50°50\degree  

b)

200°200\degree  

c)

100°100\degree  

d)

60°60\degree