Simplify It!
Simplify:
9x - 4x + 7
5x + 7
Fill-in the blank:
7x + 14 = 7(____ + 2)
x
Is 5x + 2x = 7x ?
True, Combine Like Terms
A student says 3x + 4x = 12x. What is the error, and the correct answer?
They multiplied the coefficients instead of adding them. Correct answer is 7x.
Simplify: x + x + x + 6
3x + 6
Simplify:
3a + 5 - 2a + 8
a + 13
Fill-in the blank:
4(x + 3) = 4x + _____
12
Is
3(x + 4) = 3x + 4 ?
False, it equals 3x + 12.
A student expands 5(2x - 3) as 10x - 3. What is the error and correct answer?
They didn't distribute 5 and -3. The correct answer is 10x - 15.
Factor into Distributive Property Form: 4x + 20
4(x + 5)
Simplify:
6(3x - 2) - 2(4x + 1)
10x - 14
What number belongs in the blank?
3(2x + ____) = 6x + 15
5
Is
2(3x + 5) - x = 5x + 10 ?
True, both simplify to 5x + 10.
A student simplifies 2x + 3 + 4x + 5 to 6x + 8x. Explain the mistake and what is the correct answer?
They combined unlike terms. The correct expression is 6x + 8.
Factor into Distributive Property: 6x - 9.
3(2x - 3)
Simplify:
5 (2x - 3) - 3(x + 4) + 2x
9x - 27
Find A:
5(x + 2) + A = 8x + 10
A = 3x
Is
4(x + 2) + 3x = 7(x + 2) ?
False, the left side is 7x + 8; the right side is 7x + 14.
Didn't follow sign rules for multiplying -3 and -5 . The correct answer is -6x + 15.
Simplify: 5(x + 2) + 2x.
7x + 10
Simplify:
4(2x + 3) - 5x
3x + 12
Find an expression for A:
4(2x - 3) + A = 11x + 1
A = 3x + 13
Is 2(3x - 4) + 5 = 6x - 3 equivalent to 3(2x - 1) - 2 ?
True, both simplify to 6x - 3.
They omitted the constant terms. The correct answer is 8x - 6 - 3x - 6 = 5x - 12.
-6x - 3
-6x + (-3)