Remember: The same number can be written two ways. Test a number to be sure.
Breaking a product apart
1
The dots show 4 × (3 + 5). Count them as two groups: 4 × 3 + 4 × 5 = dots in all.
2
5(x + 8) = 5x +
3
3x + x + 3x = x
4
Which is the same as 7(2x + 9)?
14x + 914x + 639x + 1614x + 16
5
35 + 7x is equal to 7(5 + x).
TrueFalse
6
4(x + 3) is the same as 4x + 3.
TrueFalse
Factor and combine
7
6 + 18y = 6(1 + y)
8
Join each expression to the same thing written another way.
12(n + 4)
23n + n
32 + 3n + 4
45(2n)
A4n
B3n + 6
C10n
D2n + 8
9
The dots show two groups of 2 rows. Which expression is the total number of dots?
2(5 + 3)2 × 5 + 32 + 5 + 35 × 3 + 2
10
Test x = 4. What is 2(x + 6) when x = 4? Answer:
11
3 + x + 4 + 3x = + 4x
Stretch
12
Which expression is NOT equal to 12x + 18?
6(2x + 3)3(4x + 6)12(x + 18)2(6x + 9)
13
Write an expression that is equal to 3(x + 2). Show how you know.
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