Expressions & Factors
Find the LCM (Least Common Multiple) of 4 and 6?
4: 4, 8, 12, 16, 20, 24
6: 6, 12, 18, 24
LCM = 12
15 x 2 4/9
36 2/3
Use the Commutative Property to solve:
4 (3x)
(4 • 3)x
12xFind the area of a parallelogram with base of 6 feet and a height of 3 feet.
6 x 3 = 18 feet2
For every 8 flutes in band there are 3 drums. If there are 24 flutes, how many drums are there? Use a ratio table to solve.
8:3 = 24:9
9 drums
Use order of operations to solve the following:
15 - 4 (6 + 1) ÷ 22
8
3/8 ÷ 3/4 - 1/6
1/3
Use the Associative Property to solve:
(7 • 4) • 2
(7 • 4) • 2 = 7 • (4 • 2)
56 = 56
Find the area of a triangle with a base of 8 cm and a height of 7 cm.
28 cm2
You travel 270 miles in 6 hours. What is the unit rate?
45 mph
Is 49 a perfect square? Prove your answer.
Yes!
72 = 7 x 7 = 49
18.2 ÷ 1.4
13
Simplify:
3.2 + (x + 5.1)
8.3 + x
Use the formula for a trapezoid to find the area.
A = 1/2 h (b1 + b2)
base = 5 ft
base = 9 ft
height = 6 ft
42 ft2
You are making juice. The directions say to use 6 parts water for every 1 part juice. You use 24 cups of water. How much juice will you need?
6:1 = 24:4
4 cups juice
Find the prime factorization of 60
60 = 2 • 2 • 3 • 5 = 22 • 3 • 5
21.9 - 1.605
20.295
Simplify:
8 (5g + 5 - 2)
40g + (40 - 16)
40g + 24
Find the perimeter and area of the polygon using the following vertices.
J(1,3), K(1,8), L(5,8), M(5,3)
perimeter = 18 units
area = 20 units2
Write the fraction as a percent.
17/20
17/20 = 85/100
85%
Find the Greatest Common Factor (GCF) of 24 and 40.
24 = 1, 2, 3, 4, 6, 8, 12, 24
40 = 1, 2, 4, 5, 8, 10, 20, 40
GCF = 8
6 x 3.91
23.46
Combine like terms to simplify:
7z + 2(z - 5y)
7z + 2z - 10y
9z - 10y
This description represents the area of which polygon?
"one-half the product of its height and the sum of the lengths of its bases"
trapezoid
Find the percent of the number.
80% of 90
80/100 = 8/10= 72/90
72