Integers
Decimals
Fractions
PEMDAS
Equivalent or not?
100
Simplify: 5x - 3x + 4x
6x
100
Simplify: 9.2x + 2.1x
11.3x
100
Simplify: 1/7x + 2/7x
3/7x
100
2(5a + 2) + 4
10a + 8
100
Are the following expressions equivalent? 17x - 10x and 9x + 8x
No. 17x - 10x = 7x. 9x + 8x = 17x
200
Simplify (Expand, Distribute): 5(2x - 3)
10x - 15
200
Simplify: 0.6x - 1 + 0.7x
1.3x - 1
200
Simplify: 7/9y - 2/9y + 1/9y
2/3y (If you got 6/9y, you need to simplify!)
200
12 + 4(8x + 1)
32x + 16
200
Are the following expressions equivalent? 4/8x - 1/4x and 3/4x
no. 4/8x - 1/4x = 1/4x (it was 2/8x before simplifying), not 3/4x.
300

Simplify: 9y + 5 - 2y

7y + 5

300

Simplify: 8.6a - 4.2b - 1.2a + 3.1b

7.4a - 1.1b

300
Simplify: 8/9y + 1/3y
11/9y or 1 2/9y
300
4(6b + 1) - 1
24b + 3
300

Are the following expressions equivalent? (2x + 3) - (x + 3.5) and x - 1/2

yes.

400
Simplify: 8m - 2n - 7m + 2n
m
400
Simplify (expand, distribute): -3.1(3r - 4)
-9.3r + 12.4
400

Simplify (expand, distribute): 1/4(8x + 12)

2x + 3

400
12w + 3(2v + 3w)
6v + 21w
400
Are the following expressions equivalent? (2x + 1) - (x + 3/2) and 1/2x - 1
No
500
Simplify (expand, distribute): -12(-2x - 3)
24x + 36
500

Simplify (expand, distribute): -1.3(0.6x + 0.1)

-0.78x - .13

500
Simplify (expand, distribute): 1/4(1/2y + 2/5)
1/8y + 1/10 (Make sure to simplify to get this answer!)
500
(this going to look very complicated, write it down on your paper...) 1/4 + 1/2(1/3x + 1/4)
1/6x + 3/8
500
Are the following expressions equivalent? 2/3(3/4x - 3/2) and 1/2x - 1
yes.
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