Order of Operations
Give the correct order of operations.
Parentheses/Groups, Exponents, Multiplication OR Division, Addition OR Subtraction
Is my answer correct? Explain.
9 - 3 x 2 = 12
No, the correct answer is 3. Multiply first, then subtract.
Sy scored 10 points in the first half of his game. He then scored y points in the second half of his game.
Write an expression to represent the total number of points he scored.
10 + y
Evaluate 7b - 2a - 3a2, when a = -1 and b = 2.
13
18
Why is it important to know PEMDAS (or GEMDAS) as a mathematician?
So everyone can solve every problem the same (correct) way.
56 ÷ (4+4) + 32
16
John buys 2 pencils and 4 books. Tom buys 1 pencil and 3 books. Let p represent the cost of each pencil, and b represent the cost of each book.
Write an expression to represent the total amount of items purchased.
3p + 7b
Evaluate x2 ÷ (3+4) + y2, when x = 7 and y = - 5.
32
Evaluate the product of -4 and the cube root of two times y, when y is 32.
-16
Evaluate x2 when x = - 7.
49
20 – (5+3) x 2 + 4
8
Translate "x + 9" using more than.
9 more than x
Evaluate 4x - y2 - x, when x = - 3 and y = - 8.
-73
Simplify the product of - 11 and the cube root of -216.
66
What does 5 3 mean?
It means 5 x 5 x 5, or 125
12 + 22 x 32 - 42
21
Translate "4y - 16" using less than.
16 less than the product of 4 and y.
Which property allows us to write 8 + (-8) = 0?
Inverse Property of Addition
Simplify the quotient of the cube root of -1331 and 11.
-1
The problem is 20 - 5 x 2 + 3. My answer is 33. Is my answer correct?
No, I went from left to right without using the correct order of operations. The correct answer is 13.
(4-1)2 + (5+ 1)2
45
Tammy reads 4 books per month, m.
a. Write an expression to represent how many books she reads in all.
b. How many books does she read in 5 months?
a. 4m
b. 20
Which property allows us to write (3x + 7) + 1 = 3x + (7 + 1)?
Associative Property
Simplify 4 cubed plus 9 squared all divided by the square root of 25.
29