Distribute it!
What expression is equivalent to 3(x-12)?
3x - 36
Simplify:
2x + 3x + 8 - 3x - 2
2x + 6
What is the value of p?
3(n + 8) is equivalent to (n + p)3
p = 8
Zoe says −8(m − 2) = −8m − 2.
What mistake did she make?
She did not multiply −8 by −2
Are 2(4x + 3) and 12x − 2 equivalent?
No
Expand:
2(4x + 3)
8x + 6
Simplify:
(3y + 1) + (2y + 8)
5y + 9
What is the value of n?
(3y + 1) + (2y + 8) is equivalent to (ny + 9
n = 5
Student says 3(2x + 4) = 6x + 4.
What is the mistake?
They forgot to distribute to 4
Evaluate both when x = 3:
2(4x + 3) = ?
30
Expand:
-4(m-2)
-4m + 8
Simplify:
(7y + 6) + (3y − 2)
10y + 4
What is the value of p?
8 + 5n is equivalent to p(4 + 2.5n
p = 2
Student says 5x − 3x + 6 = 2x + 10.
What is the mistake?
They added unlike terms incorrectly
Evaluate 12x − 2 when x = 3.
34
Expand:
5(2y - 7)
10y - 35
Simplify:
(9y − 8) + (y + 5)
10y − 3
What is the value of n?
(7y + 6) + (3y − 2) = ny + 4
n = 10
Student says 8 + 5n = 4 + 2.5n.
What is the mistake?
They forgot to multiply both terms by 2
Are 5x − 3x + 6 and 2x + 6 equivalent?
Yes
-6(3x +4 - x)
-12x - 24
Simplify:
6x − 2 + 4x + 9 − 3x
7x + 7
What is the value of b?
10x + b is equivalent to 2(5x − 2)
b = −4
Student says expressions are equivalent because they work for one value of x.
What is the mistake?
Expressions must be equal for ALL values, not just one
Are −4(m − 2) and −4m − 2 equivalent?
No