CPM CC1 CH 4 Team Mastery Check​(KEY)
Teacher:
Team:
Name/#:
Date:
Instructions​: Read each question CAREFULLY! Answer each question COMPLETELY! If
there are multiple steps, be sure to do each one. Show your work! Circle your final answer.
Include all necessary units of measurement. Verify your accuracy: be sure to CHECK (1)
YOUR (2) WORK (3)!!!
1.​
​A right triangle has a base of 9 cm and a height of 12 cm. If another triangle of
similar shape but different size has a height of 4 cm, what factor was it enlarged or
reduced by? What would the base of that other triangle be?
The original triangle was reduced by a factor of
1
3
The base of the other triangle would be 3
2.​ ​Complete the following generic rectangle. What multiplication problem does it
represent and what is the product?
The generic rectangle represents the multiplication problem 4
​ 95
• 39
The product would be ​19,305
12000 + 3600 + 2700 + 810 + 150 + 45
3.​ ​Draw a coordinate grid with four quadrants and x- and y-axes from –10 to 10.
Plot the following ordered pairs and connect them: (−7, −9), (−3, −9), and (−3, −1).
What shape have you made? ​The shape is a right triangle
What is the length of each side? ​The lengths are 4 units, |-7| - |-3|, by 8 units, |-3| - |-1|
Draw a figure enlarged by a factor of 2.25 with one corner (or ​vertex​) still at (–7, –9).
What are the coordinates of the corners (or ​vertices​) for the new shape?
The vertices for the new shape are (-7, -9), (2, -9), (2, -9)
What are the lengths of the sides now?
The lengths are 9 units, |-7| + |2|, by 18 units, |-9| + |9|
Now draw a figure 14 the size of the original, again with one vertex still at (–7, –9). What
are the coordinates of the vertices of the reduced shape?
The vertices for the new shape are (-7, -9), (-5, -9), (-5, -5)
What are its side lengths?
The lengths are 2 units, |-7| - |-5|, by 4 units, |-9| + |-5|
4.​ ​Davis will be making cornbread and pumpkin pie. The recipe for cornbread calls for
cups of flour while the recipe for the pumpkin pie calls for
much flour will he need to complete both recipes? 47
​ ​
12 =
cups of flour. How
3 11
12 ​cups of flour
5.​ ​Find each quotient by dividing the dividend by the divisor.
142.83 ÷ 2.3
6.
566.4 ÷ 12
2÷8
The triangles below are similar. By what ratio was triangle XYZ enlarged by to
create triangle LMN? Use this information to find the length of the missing side.
The enlargement ratio is 3/2 and the missing side is 18 units.
7.​ ​Write the letter for each of following portions where they are found on the number line.
a.
b. 160%
c. 0.16
d.
8.​ ​Trei correctly spelled 60% of the words on her last spelling test. How many words did
she spell correctly for each word that she spelled wrong? Write her ratio of correctly to
incorrectly spelled words three different ways. Simplify to an equivalent ratio.
6
4
She had 6 words correct for each 4 that she had incorrect: 6 to 4
This can be simplified to 3 to 2
3
2
6:4
3:2
Luis spelled 3 words correctly for every 1 that he spelled incorrectly. Write his ratio of
correctly to incorrectly spelled words three different ways. Can it be simplified? What is
Luis’s score represented as a percent​? ​Did Luis do better than Trei on the test?
He had 3 words correct for each 1 that he had incorrect: 3 to 1
3
1
3:1
This cannot be simplified.
Since Luis spelled 3 out of every 4 words correctly, his percent would be 75%.
Therefore, he did better than Trei.
9. ​Find the value of the variable represented in these visual equations.
​m =6
a.
y=3
b.
10.​ ​Circle the terms and simplify
−212​ + ​(−102)
4​ + ​6(3)​ + 2​ (5
−314
4+18+11-2
− 1)
31
5​ + ​3(5)​ + (​ −4)(5)
5+15-20
0
11. ​ ​What are the dimensions of a frame with 124 tiles in it? Choose two of the six
methods and write an expression for them with a variable representing the number of
unknown tiles in a side. Solve for the unknown variable.
4 (x - 4) = 124
x + (x-1) + (x-1) + (x-2) = 124
(x + x) + (x-2 + x-2) = 124
(x • x) - (x-2 • x-2) = 124
(x-1) • 4 = 124
(4 • x-2) + 4 = 124
x = 35
12.​ ​Evaluate each of the following expressions when x = 6.
a.
b.
4(6) - 8 + 2(6) + 10
62 - 5(6) + 1
24 - 8 + 12 + 10
36 - 30 + 1
16 + 12 + 10
6+1
28 + 10
7
38
13.​ ​Show prime factorization for 35 and 42. What is their Least Common Multiple?
What is their Greatest Common Factor?
35
42
=7 · 5
=7 · 6
=7 · 3 · 2
LCM = 210 (LCM is the product of their combined prime factors 7 · 5 · 3 · 2)
35: 35, 70, 105, 140, 175, ​210​, 245, 270
42: 42, 84, 126, 168, ​210​, 252
GCF = 5 (the GCF is their common prime factor: 7)
35: 1, 5, ​7​, 35
42: 1, 2, 3, 6, ​7​, 14 21 42
14.​ Evaluate the following expressions.
a. |1 - 3| - |2 +2|
b. -|5 - 6|
|-2| - |4|
-|-1|
2-4
-1 · 1
-2
-1