+449 Jennifer wrote the expression 5(3x + 1 + 2). Danielle used only the distributive property to write an equivalent expression. Which expression could Danielle have written?
Which expression is NOT equivalent to 4x + 12y?
+23252 Using the distributive law on 5(3x + 1 + 2)
she would get: 5(3x) + 5(1) + 5(2)
Can you get this next step? Don't do anything but these multiplications!
Use the distributive law on each of these:
16(x + y) = 16(x) + 16(y) = <--- can you make this look a little simpler?
4(x + 3y) = 4(x) + 4(3y) = <--- can you make this look a little simpler?
2(2x + 6y) = 2(2x) + 2(6y) = <--- can you make this look a little simpler?
(2x + 6y) + (2x + 6y)
= 2x + 6y + 2x + 6y
= 2x + 2x + 6y + 6y = <--- can you make this look a little simpler?
Can you now pick out your answer?
+23252 Using the distributive law on 5(3x + 1 + 2)
she would get: 5(3x) + 5(1) + 5(2)
Can you get this next step? Don't do anything but these multiplications!
Use the distributive law on each of these:
16(x + y) = 16(x) + 16(y) = <--- can you make this look a little simpler?
4(x + 3y) = 4(x) + 4(3y) = <--- can you make this look a little simpler?
2(2x + 6y) = 2(2x) + 2(6y) = <--- can you make this look a little simpler?
(2x + 6y) + (2x + 6y)
= 2x + 6y + 2x + 6y
= 2x + 2x + 6y + 6y = <--- can you make this look a little simpler?
Can you now pick out your answer?
