Order matters
8 + 3 · 4
20
“A number increased by 7”
n + 7
3x + 2, if x = 4
14
In 8 + 3 · 5, what should you do first?
Multiply 3 · 5
Which operation comes first in 15 − 3 · 2 + 4?
Multiply 3 · 2
24 ÷ 6 + 2³
12
“The product of 6 and a number”
6n
5a − 2b, if a = 3, b = −2
19
In 24 ÷ (7 − 3) + 2, what should you do first?
Subtract 7 − 3
Translate: “the difference between 3 times a number and 8.”
3n − 8
5² − 18 ÷ 3 · 2
13
“12 less than a number”
n - 12
x² + 3y, if x = −4, y = 5
31
In 5 + 2³ · 4, what should you do first?
Evaluate 2³
Evaluate 2x² − 3 when x = −3.
15
40 − (3 + 5) · 4
8
“5 less than twice a number”
2n - 5
a² − 4ab, if a = −2, b = 3
28
In 18 − 12 ÷ 2 · 3, after calculating 12 ÷ 2, what operation comes next?
Multiply 6 · 3
Which expression represents “7 less than twice a number”: 7 − 2n or 2n − 7?
2n − 7
(6² − 4 · 3) ÷ (8 − 2)
4
“9 less than the quotient of a number and 4”
n/4 - 9
(r² − 2s)/(r + 4), if r = 2, s = −4
2
In 4² + 24 ÷ (5 − 2) · 3, list the first three calculations you would complete.
5 − 2 → 4² → 24 ÷ 3
Evaluate (a² + 2b)/(a − b) when a = 4, b = −2.
2