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
A square painting measures 4 centimeters on each side. What is the area of the painting in square centimeters?
16 cm2
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
15 chairs
Evaluate the expression.
33 - 6(1 1/3 - 2⁄3)
29
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