Expanding
Expand the following expression:
2(x + 5)
2x + 10
Factor the following expression:
6x + 3
3(2x + 1)
Are the following expressions equivalent to each other?
2x + 5y and x + 5y
No, the "x" terms are not the same.
Combine like terms to simplify the following expression:
2x + x + 13
3x + 13
Create an expression that represents the following scenario:
At field day, each team gets x bottles of water and 3 extra bottles for their coach. How many bottles does one team get in total?
x + 3
4(3x + 12)
12x + 48
Factor the following expression:
6c - 18d
6(c - 3d)
Are the following expressions equivalent to each other?
4x - 8 and 4(x - 2)
Yes, after expanding 4(x - 2) you will get 4x - 8
Combine like terms to simplify the following expression:
4x - 5x + 19
-x + 19
Create an expression that represents the following scenario:
At field day, there are x teams. Each team gets 5 water bottles and 2 snacks. How many items does each team get in total?
x(5 + 2)
5x + 2x = 7x
Each team gets 7 items.
Expand the following expression:
3(4x + 8y - 10)
12x + 24y - 30
Factor the following expression:
16t + 4u + 10v
2(8t + 2u + 5v)
Are the following expressions equivalent to each other?
3x and 3(x - 2) + 6
Yes, after expanding 3(x - 2) + 6, you will get
3x - 6 + 6. The "-6" and "6" will cancel out, leaving you just with 3x.
Combine like terms to simplify the following expression:
4x + 7 + 2x + 5 + x + 3
7x + 15
Create an expression that represents the following scenario:
A school bookstore sells supply bundles. Each bundle contains the same number of notebooks and 4 pens. The number of notebooks in each bundle is represented by x. The store sells 6 bundles in one day.
6(x + 4)
6x + 24 items are sold
Expand the following expression, then simplify:
7(-3x + 5y - 4) + 2x
-19x + 35y - 28
DOUBLE JEOPARDY (make a wager)
Factor the following expression:
48a - 16b + 32c
16(3a - b + 2c)
Are the following expressions equivalent to each other?
3x - 8 - x and 4(x - 2)
No, after combining like terms, 3x - 8 - x will simplify to 2x - 8. Then expanding 4(x - 2), you will get 4x - 8.
2x - 8 is not equavilent to 4x - 8
Combine like terms to simplify the following expression:
10k − 4 + 3 − 2k + 6k − 8 + 2j
2j + 14k - 9
Create an expression that represents the following scenario:
A rectangular garden has a length of (3x+5) meters and a width of 2x meters. The gardener wants to build a fence around the entire garden.
HINT: Draw a rectangle
3x + 5 + 2x + 3x + 5 + 2x
10x + 10 meters
Expand the following expression, then simplify:
3(5y - x - 4w) - 2x + 10
-12w - 5x - 15y + 10
Factor the following expression:
54g - 27h - 81
27(2g - h - 3)
DOUBLE JEOPARDY
Are the following expressions equivalent to each other?
3(2x + 1) + 2(x − 5) and 8x − 7
Yes, after expanding 3(2x + 1) you will get 6x + 1. Then expanding 2(x - 5) you get 2x - 10. This leaves you with 6x + 3 + 2x - 10 which simplifies to 8x - 7.
Combine like terms to simplify the following expression:
5a − 3b + 8 + 2a + b − 4 − 7a + 6b − 1
4b - 3
Create an expression that represents the following scenario:
A rectangular swimming pool has a width of (2x + 7) inches and a height of 5 inches. Find the area of the pool.
HINT: Draw a rectangle
5(2x + 7)
10x + 35 inches squared