Basic Knowledge
What is the rule we use to simplify expressions?
The order of operations
Evaluate the Expression.
18 x (9 - 3) /2
54
Evaluate the Expressions.
(28 - 14) x (42 / 6)
98
Evaluate the Expressions.
8 x (54 - 49)
40
3 - 8 x 4
-5 x 4
-20
They subtracted first instead of multiplying
What does PEMDAS stand for?
Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction
Evaluate the Expression.
(36 + 14) x 4 / 5
40
Evaluate the Expressions.
6 x [(21 - 9) / 3]
24
Evaluate the Expressions.
(94 - 58) / 4
9
3 + 8 - 2 x 4
3 + 6 x 4
3 + 24
27
The person subtracted first but they should have done multiplication first
Why is it important for everyone to follow the same order when simplifying expressions?
Everyone will get different answers.
*Answers may vary
Use order of operations to solve.
3 + 5(4) x 2 + 8 + (10/2)
56
Evaluate the Expressions.
[(2 x 2) + (10 / 5)] x 4
24
Your friend buys a bag of 24 party favors and a bag of 16 party favors. She shares them equally among 5 friends. How many party favors did each friend receive?
8
4 x 3 + 8 x 2
12 + 8 x 2
20 x 2
40
The person multiplied 4 times 3 first, which was correct, but then instead of multiplying 8 x 2 as the second step, they added 12 + 8
What is a product?
The answer to a multiplication problem
Which Expressions have a value of 6?
A. 2 + 1 x 2
B. 5 x 2 - 4
C. 7 x (6 - 4) - 8
B and C
Evaluate the Expressions.
[(52) x 2 +4] / 9
6
Evaluate the Expressions.
45 + 7 x 8 - 12/3
97
2(3 + 1) - 4 x 7
2(4) - 4 x 7
8 - 4 x 7
4 x 7
28
The person did the grouping first which was correct, and then multiplied 2 times 4 which was correct, but then they subtracted 4 from 8 next, rather than multiplying 4 times 7
An expression has both multiplication and division, which one comes first?
Neither. Do whichever one comes first. Left to right!
Which Expressions have a value of 6?
A. 12 / 2 + (0 + 6)
B. 70 - 60 / 10 + 5
C. 8 + 18 / 2 - 11
C
Evaluate the Expressions.
{[(7 + 15) + 2] x 6} - 26
118
Evaluate the Expressions.
(36 / 2) - 5 x 3 + 10
13
3 + 4 - 9/3
7 - 9/3
-⅔
-⅔
The person added and subtracted before they did division