Order of Operations in Algebra
Test your understanding of algebraic order of operations (PEMDAS) and how to correctly solve mathematical expressions.
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Quiz Questions & Answers
Review every prompt, the correct responses, and helpful context to prep for your own run-through.
Question 1: What is the correct result of 2 + 3 × 4²?
50
100
20
14
Question 2: In the expression (x + y)², what operation must be performed first?
Multiply x and y
Add x and y
Square the y
Square the x
Question 3: What does the 'P' in PEMDAS stand for?
Plus
Power
Parentheses
Product
Question 4: In the expression 6 ÷ 2(1 + 2), what is the correct order of operations?
Add first, then multiply, then divide
Divide first, then add, then multiply
Multiply first, then add, then divide
Add first, then divide and multiply left to right
Question 5: Which expression is equivalent to 2(x + 3)?
4x + 3
x + 6
2x + 3
2x + 6
Question 6: When evaluating -3², what operation should be performed first?
Both give the same result
Square the 3, then make it negative
It's ambiguous
Make 3 negative, then square it
Question 7: In the expression √(16 + 9), what must be calculated first?
Take square root of 9
Take square root of 16
Add 16 and 9
Multiply 16 and 9
Question 8: What is the value of 8 - 3 × 2 + 4 ÷ 2?
4
7
5
3