LCM & GCF
What does GCF and LCM stand for?
Greatest Common Factor & Least Common Multiple
Write an expression for "seven more than a number"
7 + x (or any variable)
21x + 3y - 5x + 2xy
16x + 3y + 2xy
Solve using the distributive property.
5(x + 9y)
5x + 45y
Factor using GCF.
21x - 35y
7 (3x - 5y)
Factor using the GCF: 60 + 50
10(6 + 5)
Write an expression that represents the phrase:
Two times a number less than 12
2x - 12 or 2 x Z - 12
Combine the like terms.
10x2 + 4x2 - 11
14x2 - 11
Solve.
102 + 4 x 7
128
What is the constant in the expression?
15xy + 7
7
Find the LCM of 4 and 9
36
Write an expression that represents the phrase:
Ten more than a number, R
10 + R or R + 10
Combine the like terms:
9M + 4X - 3X + 7M
16M + 1x or 16M + X
Solve using the distributive property.
6 (2ab + 12b)
12ab + 72b
What is the coefficient of X in the expression below.
6y + 15x + 4
15
Find the GCF of 100 and 25.
25
Max and James went to baseball practice. James had "h" number of homeruns. Max hit twice as many homeruns as James. Write an expression to show how many homeruns Max hit.
2h or 2 x h
Combine the like terms:
12X + 3X + 8(X-2)
23x - 16
Solve when X = 3 and Y = 4
5x2 - 4y + 10
39
What is the variable in the expression?
3y + 14
y
Sarah and Emily are both making bracelets. Sarah uses beads in groups of 18, and Emily uses beads in groups of 24. They want to create sets of bracelets that have the same number of beads in each group. What is the GREATEST number of beads that they can use in each set?
9
Write a phrase that represents the expression below:
8x + 4
Eight times a number plus four (or similar)
Write the equivalent expression using exponents.
3 x 3 x 3 x 3 x 3 x 9 x 9 x 9 x 9
35 x 94
Evaluate when M = 2 and X = 7
9M + 4X + 3X + 7M
81
James and Maria are both training for a race. James runs around the track every 12 minutes, while Maria runs around the track every 15 minutes. They both start running at the same time. After how many MINUTES will they both be at the starting point at the same time?
60 minutes