Download Name Date Block#______ Math 6 Common Core: Number

Name
Date
Block#________
Math 6 Common Core: Number Properties & Algebraic Expressions Check Up 13PT
PRACTICE TEST
A. Evaluate the following:
1. 3x – 7 for x = 8
ANS: 17
2.
÷ 7 for x = 84
ANS: 3
B. Write an algebraic expression for the following:
3. Misty has 32 pairs of shoes arranged on a number of shelves.
ANS: 32 ÷ x
4. Thirty three of the available seats in a movie theater are empty.
ANS: x - 33
C. Complete the equation for the number property shown:
5. Distributive property:
4 • (x – 9) = ANS: 4x - 36
6. Associative property:
3 + (2x + 5) = ANS: (3 + 2x) + 5 or 2x + 8
D. It takes Carlos 20 minutes to complete one section in his History workbook or complete one
page in his Science book.
7. Write an expression using a variable that shows how long it takes Carlos to complete some sections in
his History workbook. Explain what the variable represents.
ANS: 20x The variable x represents the sections in his History workbook.
8. Evaluate your expression to find how long it would take Carlos to complete 11 sections in his History
workbook.
ANS: 220 mins or 3 hours 40 mins
9. Write an expression using variables that shows how long it takes Carlos to complete some History
sections and complete some pages in his Science book. Explain what the variables represent.
ANS: 20x + 20y
The variable x represents the sections in his History workbook.
The variable y represents the pages in his Science book.
10. For homework one night, Carlos has 3 sections of History and 2 pages of Science to complete. Evaluate
your expression to find out how long it will take Carlos to finish his homework.
(Label your answer)
ANS: 60mins for History + 40mins for Science =
A
B
NY
Altogether 100 mins or 1 hour 40 mins
≥9
8
≤7