1.1 Powers & Exponents
Write the product as a power.
8 x 8 x 8 x 8 x 8
85
Evaluate the expression.
15 - 4 x 3
3
List the factor pairs of the number.
14
1, 14; 2, 7
Use a Venn diagram to find the greatest common factor of the numbers.
10, 35
GCF = 5
Use a Venn diagram to find the least common multiple of the numbers.
4, 10
20
Find the value of the power.
63
216
Evaluate the expression.
5 + (2 + 1)3
32
Write the prime factorization of the number.
50
52 x 2
Find the GCF of the numbers using lists of factors.
22, 121
22: 1, 2, 11, 22
121: 1, 11, 121
GCF = 11
Find the LCM of the numbers using lists of multiples.
7, 8
7: 7, 14, 21, 28, 35, 42, 49, 56, 63
8: 8, 16, 24, 32, 40, 48, 56, 64
LCM: 56
Determine whether the number is a perfect square. (show your work!)
122
No, it is not a perfect square.
11 x 11 = 121
Evaluate the expression.
18 - 5(4.7 - 1.7)
3
Find the number represented by the prime factorization.
22 x 52 x 7
700
Find the GCF of the numbers using prime factorizations.
42, 63
42 = 2 x 3 x 7
63 = 3 x 3 x 7
GCF = 21
Find the LCM of the numbers using prime factorizations.
26, 39
78
15 chairs
A family buys 3 dinners at $9 each, 2 kid's meals at $4 each, and 4 desserts at $3 each. After using a $10 off coupon, how much do they owe? (write an expression to show your work)
(3 x 9) + (2 x 4) + (4 x 3) - 10
They owe $37.
Write the prime factorization of the number.
243
35
Find the GCF of the numbers.
20, 36, 72
GCF = 4
Find the LCM of the numbers.
3, 5, 7
105
You are filling a large cube container with lemonade for a party. The cube has edge lengths of 3 feet. Find the number of cubic feet of lemonade to fill the container. Then find the number of cubic yards of lemonade to fill the container.
27 cubic feet of lemonade
9 cubic yards of lemonade
A square garden has side lengths of 12 feet. You plant flowers in the center portion of the garden, a square that has side lengths of 4 feet. You divide the remaining space into 4 equal sections and plant onions, squash, tomatoes, and peppers. What is the area of the onion section?
32 feet2
Find the greatest perfect square that is a factor of the number.
240
16
Your baseball team has 120 ball caps, 180 miniature baseball key chains, and 240 glow in the dark bracelets to give away to children on opening day. The items will be split into identical sets with no items left over. What is the greatest number of children that will receive a set of items on opening day?
60 children
You have piano lessons every 7 days and tuba lessons every 3 days. Today you have both lessons. In how many days will you have both lessons on the same day again?
21 days