Distributive Property
Expand the following expression using the distributive property
5(3n + 2)
15n + 10
Factor the following expression
7y + 14
7(y + 2)
Simplify the following expression by combining like terms
8 + 6y + 4z + y -2z + 3
11 + 7y + 2z
Write an expression that represents the word phrase:
The sum of a number h and 7
h + 7
Write an equivalent expression for the following:
2(8 + 10)
16 + 20
2(18)
36
Expand the following expression by using the distributive property
6(2 - 10m)
12 - 60m
Factor the following expression
20k - 15n
5(4k - 3n)
Simplify the following expression by combining like terms
8p + 5p + 4 + 3p + 10
16p + 14
Write an expression that represents the word phrase:
The product of a number j and 5
5j
Are the following expressions equivalent? If not, explain why not.
20c and 12c + 8c
Yes
Expand the following expression by using the distributive property
4(2z + 6 + 11c)
8z + 24 + 44c
Factor the following expression
18 + 6k
6(3 + k)
2(9 + 3k)
3(6 + 2k)
8j - 3j + 6 + 10z - 1 - z
11j + 5 + 9z
Write an expression that represents the word phrase:
12 less than a number, n
n - 12
Are the following expressions equivalent? If not, explain why not.
5(j + 7) and 5j + 7
No - The 5 was not distributed to the 7 as well
Expand the following expression by using the distributive property
(5t + 9) 10
50t + 90
Factor the following expression
4y + 80g
4(y + 20g)
2(2y + 40g)
Simplify the following expression by combining like terms
9k + 2k - k + 8 + 2v + 7 - v
10k + v + 15
Write an expression that represents the word phrase:
The sum of 6 and the product of 5 and j
6 + 5j
Are the following expressions equivalent? If not, explain why not.
11 (2z + 5) and 11(2z) + 11(5)
Yes
Expand the following expression by using the distributive property
3/4(8t - 4)
6t - 3
Factor the following expression
75x + 20p
5(12x + 4p)
Simplify the following expression by distributing then combining like terms
2(2n + 4j + 5 + 6n - 3)
4n + 8j + 10 + 12n - 6
16n + 8j + 4
Write an expression that represents the word phrase:
2 less than the quotient of s and 20
s/20 - 2
Are the following expressions equivalent? If not, explain why not.
18j and 16j + 2
No - the 2 and 16j are not like terms so they cannot be combined and must be left as 16j + 2