Remember: The same number can be written two ways. Test a number to be sure.
Breaking a product apart
1
The dots show 6 × (5 + 3). Count them as two groups: 6 × 5 + 6 × 3 = dots in all.
2
9(x + 7) = 9x +
3
4n + 6n + n = n
4
Which is the same as 11(3n + 4)?
33n + 4433n + 414n + 153n + 44
5
Which is the same as 5(2n − 3)?
10n − 310n − 157n − 152n − 15
Factor and combine
6
14 + 21y = 7(2 + y)
7
24n + 16 = 8(n + 2)
8
6x + 9 is equal to 3(2x + 3).
TrueFalse
9
2(x + 5) + 3x is equal to 5x + 5.
TrueFalse
10
Join each expression to the same thing written another way.
15(a + 2) + a
23a + 2(a + 1)
34(a + 1) − 4
42a + 7 + 3a + 3
A5a + 10
B6a + 10
C5a + 2
D4a
Use it, then explain it
11
Test x = 6. What is 4(x + 3) + 2x when x = 6? Answer:
12
A garden is 4 meters wide and x + 5 meters long. Which expression is its area?
x + 204x + 54(x + 5)4 + x + 5
13
Which expression is NOT equal to 18x + 12?
2(9x + 6)3(6x + 4)6(3x + 2)6(3x + 12)
14
Mia says 4(x + 2) and 4x + 2 are the same. Write how you could show her she is wrong.
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