Order of Operations
What does each letter in PEMDAS represent?
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
the quotient of x and 5
x / 5
Are these expressions equivalent? 3x + 2 and 3(x + 2)
NO!
x2 if x = 4
16
14x - 2x
12x
43 + 1
65
3 fewer than p
p - 3
Are these expressions equivalent? 4d + 2e and 6de
NO!
12x - 7 if x = 4
41
x + x + x
3x
152 - 34
144
Mark saves 3 dollars each week. How much money will he save in w weeks?
3w
Are these expressions equivalent? f + f + f + g and 3f + g
YES!
y3 + 1 if y = 5
126
4(3x + 4)
12x + 16
32 + (23 + 4)
21
The quotient of twice t and x
2t/x
Are these two expressions equivalent? 12x2 + 5x + 10 and 17x2 + 10
NO!
5z + 3n - z3 if z = 1 and n = 7
25
5(4x + 3) - 2x
24.6 + 43 x (8.2 - 2)
421.4
the cube of s increased by 5
s3 + 5
Are these expressions equivalent? 6(2x + 5y) and 12x + 30y
YES!
y2 / 2x + 3n - z if n = 7, x = 4, y = 8, and z = 1
148
6(3x + 8) + 32 + 12x