Evaluating Exponents
Prime Factorization
GCF/LCM
Evaluating Expressions
Distributive Property
100
Identify the base and the exponent in the power below
(4/5)^7
(4/5) is the base
7 is the exponent
100
What is the prime factorization of 15?
3*5
100
What is the LCM of 21 and 45?
315
100
Evaluate the expression by showing ALL of your work:
16+12div2^2
19
100
Factor the expression 24+14. Write your answer in the form a(b+c) where a is the GCF of the two given values.
2(12+7)
200
Evaluate the following power
(2/3)^4
16/81
200
What is the prime factorization for 45?
3*3*5
3^2*5
200
What is the GCF of 12 and 24?
12
200
Evaluate the expression by showing ALL of your work:
11+(5+2)^2div20
3
200
Factor the expression 63+90. Write your answer in the form a(b+c) where a is the GCF of the two given values.
9(7+10)
300
Evaluate the following power
(6/7)^3
216/343
300
What is the prime factorization of 96?
2*2*2*2*2*3
2^5*3
300
A committee organizing a marathon has 12 jugs of water and 15 jugs of sports drink. The committee would like to set up a number of refreshment stations along the marathon course, with the same combination of jugs of water and jugs of sports drink at each station, with no beverages left over. What is the greatest number of refreshment stations that can be set up?
The greatest number of refreshment stations is 3.
300
Evaluate the expression by showing ALL of your work:
(24div2^2)+10-2*4
8
300
Factor the expression 45+63. Write your answer in the form a(b+c) where a is the GCF of the two given values.
9(5+7)
400
What is the missing exponent for the given power:
(5)^x=625
4
5^4=5*5*5*5=625
400
What is the prime factorization of 318?
2*3*53
400
Kira and Mitch are each assigned a paper for a class they share. Kira decides to write 6 pages at a time while Mitch decides to write 9 pages at a time. If they end up writing the same number of pages, what is the smallest number of pages that the papers could have had?
The smallest number of pages the papers could have is 18.
400
Is there an error in the work shown below? If yes, identify the error and fix it.
Error is in Step 4 to Step 5. Student should have subtracted 3 from 97 before adding. The order of operation says to add and subtract from left to right.
400
Student A stated that the factored expression for 81+36 is 9(9+36), where a is the GCF of 81 and 36. Is this true or false? If false, find the correctly factored expression.
GCF of 81 and 36 is 9. But the student did not factor the 9 out of 36. The correct factored expression should be 9(9+4).
500
What is the missing base for the given power?
(_)^3=343
The blank is 7.
(7)^3=7*7*7=343
500
Spot a fix the error in the prime factorization below:
90
2*45
3*15
90= 2*3*15
15 is NOT Prime
15=3*5
90=2*3*3*5
500
Emily is looking for the GCF of 3 and 7. She claims that the GCF must be 21 since both 3 and 7 are factors of 21. State her error, then state the correct GF of 3 and 7.
21 is the LCM of 3 and 7.
The GCF of 3 and 7 is one since both values are prime.
500
Is there an error in the work shown below? If yes, identify the error and fix it.
Student made a mistake fromStep 2 to Step 3. Student should still have included parentheses around 64 - 6. The order of operation says to perform all operations inside parentheses and brackets first.
500
Student A stated that the factored expression for 48+64 is 4(12+16), where a is the GCF of 48 and 64. Is this true or false? If false, find the correctly factored expression.
This is false. 4 is not the GCF of 48 and 64.
The correction expression should be
16(3+4)