GCF
6
Find the least common multiple of 3, 5, and 10.
30
Simplify:
6^2 \div 3 - 5
7
22 less than 5 times a number f
5f - 22
Evaluate 12x - 7 when x = 4.
41
Simplify the expression 3x + 7 + 6x.
9x + 7
Find the greatest common factor of 24 and 36.
12
Find the least common multiple of 16 and 40.
80
Simplify:
80-4^2 \div 8
78
3 times the sum of m and 7
3(m+7)
Evaluate when x = 4 and y = 8:
x^2 \div y
2
Which of these expressions are equivalent? Explain how you know.
5x+20
5(x+4)
x+4
5x+20 and 5(x+4) are equivalent because of the Distributive Property.
Find the greatest common factor of 30, 45, and 75.
15
Find the least common multiple of 9, 18, and 36.
36
Simplify:
(3 + 5^2 - 8) \cdot 4
80
The floats in the Orlando Citrus Parade may use as many citrus fruits as a small orchard produces in 6 years. If f is the number of citrus fruits a small orchard produces in 1 year, write an algebraic expression to represent the number of citrus fruits the floats in the parade may use.
6f
Evaluate 5z + 3n when z = 1.5 and n = 7.
28.5
Write an expression that is equivalent to 2(x-4).
2x-8
Find the greatest common factor of 36, 45, and 72.
9
Nancy is planning a party and does not want to have any left over supplies. If hot dogs come in packages of 12 and hot dog buns come in packages of 8 how many packages of hot dogs and hot dog buns will she need to buy in order to not have any left over supplies?
2 packages of hot dogs and 3 packages of hot dog buns.
Simplify:
(9+5-6) \cdot (4^3 \div 8)
64
Yuri walked p poodles and b bulldogs on Monday. He walked the same number of poodles and bulldogs each day Tuesday through Friday as he did on Monday. Write an algebraic expression to represent how many total dogs were walked in this 5-day period.
5(p+b)
Evaluate when a = 4:
9(12-a) \ div 2
36
Write an expression that is equivalent to 5x+45.
5(x+9)
A marching band has 32 boys and 40 girls. Every row must have the same number of boys and the same number of girls. How many rows are needed?
Angela can read a page in her novel every 28 seconds. Gabby reads a page every 35 seconds. If they start reading at the same time, in how many seconds will they both be at the start of a page again?
140 seconds
Simplify:
[20+(2.5 \cdot 3)]-3^3
0.5
Some students equally share 2 baskets of oranges. Each basket has 12 oranges. Write an algebraic expression to represent this situation.
2(12) \div s
Evaluate when a = 1/5:
4a^2
\frac{4}{25}
Simplify the expression 4b + 3b(9+2).
37b