M8 MCAP Review**

Geometry (Transformations/ Dilations/ Volume)

100

Lines AC and BD intersect at E.

What is the measure of angle BEC?

108^o

200

Describe a sequence of transformations that shows that Polygon A is congruent to Polygon B.

- Rotated 180^o​

- Translated 2 units down and 3 units right

​​​

300

The two triangles below are similar. 

Find the length of segment DE.

1.2

400

Find the volume of the cylinder. 

904.32 cm³

500

Find the volume of a sphere with a diameter of 10 cm. 

523.3 cm³

Linear Relationships

100

A successful music app tracked the number of song downloads each day for a month for 4 music artists, represented by lines j, d, m ,l, over the course of a month. Which line represents an artist whose downloads remained constant over the month?

m

200

Does the point (10, 0) lie on the line  5x+2y=15 ?

No

300

A sandwich store charges a $10 delivery fee, and $4.50 for each sandwich. 

What is the total cost (sandwiches and delivery charge) if an office orders 6 sandwiches?

$37

400

The growth of two trees are represented below. One in a table, and the other in a graph. 

Which tree is growing the slowest?

The second tree (the graph) 

500

A truck is shipping jugs of drinking water and cases of paper towels. A jug of drinking water weighs 40 pounds and a case of paper towels weighs 16 pounds. The truck can carry 2,000 pounds of cargo altogether.

Complete the table below:

System of Equations

100

What is the solution to this system of equations?

(1, 3)

200

How many solutions does the following system have?

{(y=3x+10) , (y=-2x+4):}

One

300

Lin and Han’s families provide money for their school lunch accounts. 

Han starts with $100 in his account. He spends $15 each week on lunches. 

Lin starts with $25 in her account and does not spend any of it. Her family adds $10 each week to her account. 

At the end of 4 weeks, who has more money in their account?

Lin

400

Solve this system of equations. 

{(3x+8y=22), (x=y):}

(2,2)

500

Solve this system of equations

{(3x+6y=0), (y=x+3):}

(-2,0)

Solving Equations

100

7x+5=-23

x=-4

200

3y-4=6-2y

y=2

300

2(x+5)=3x+1

x=9

400

3(n+2)=9(6-n)

n=4

500

12(5+2y)=4y-(6-9y)

y=-6

Functions and Data

100

Mai hiked up a trail for 40 minutes. The graph shows the elevation in feet that she reached throughout her hike. Name the time period where Mai gained elevation at the fastest rate.

Between 22 and 28 minutes

200

Which point is on the graph of the function  y=3x+2 ?

A. (5,1)

B. (2,3)

C. (3,2)

D. (1,5) 

D. (1,5)

300

Fill in the table for tins input-output rule:

1

2

-3

51

400

Select all the relationships that demonstrate a negative association between variables. 

A. Number of absences from school and final grades 

B. Outside temperature and ice cream sales 

C. Price of houses and house sales 

D. Number of rainy days and car accidents 

E. Number of hours playing video games and grades

A, C, E

500

Complete the missing entries in this two-way table.