Combining Like Terms
Equivalent Expressions
Distributive Property
Factoring Out
Inequalities
100
14m - 11 - 9m + 1
5m - 10
100
Are 3x + 3 and 3x(1 + 1) equivalent expressions?
No, they are not equivalent expressions.
100
3(6x + 2)
18x + 6
100
36x + 8
4(9x + 2)
100
Solve for x in this equation:
8x + 12 = 44
x = 4
200
25x - 3x + 9 - 5
22x + 4
200
Are 3x(2 + 4) and 18x equivalent expressions?
Yes, they are equivalent expressions because 3x * 2 is 6x and 3x * 4 is 12x. 6x + 12x = 18x
200
9(4 - 2x)
36 - 18x or -18x + 36
200
12x + 45
3(4x + 15)
200
Plot this inequality on a number line:
4x - 4 <= 60
300
3r + 6s + 9r - 3s + 9
12r +3s + 9
300
Are 2x + x - x + 4x and 7x equivalent expressions?
No, they are not equivalent expressions because 2x + x -x = 2x and 2x + 4x = 6x
300
6(2x - 6) + 2
12x - 34
300
54x - 9
9(6x - 1)
300
Solve for y in this equation:
6(y-3) = -36
y = -3
400
12x + 11s - 8x - 5s
4x + 6s
400
Are 4x + 8 and 2(2x + 4) equivalent expressions?
Yes, they are equivalent expressions.
400
5(2x+1)
10x + 5
400
18x - 48x
6x(3 - 8)
400
You need to sell t-shirts for a basketball. Each t-shirt costs $30, and you were already able to sell $120 in t-shirts to your family. Your goal is to make at least 1,200 in money.
Create an inequality statement for this story.
30x + 120 >= 1,200
500
-9 + 4x +2x - 6
6x - 15
500
Are 8x + 11 and 8(x + 3) equivalent expressions?
No, they are not equivalent expressions because 8*x is 8x and 8*3 = 24.
500
8(4x + 3x)
56x
500
16x + 64x
16x(1 - 4)
500
Plot on a number line this inequality:
-4y + 12 > 36
y < -6