Unit 1b Review (Order of Operations)

Unit 1b Review

Order

of

Operations

Solving Numerical Expressions

• Remember that we solve in a specific order every time

• Parenthesis, Braces, Brackets first

• Exponents are second

• Multiplication and Division are one step together and they are third

• Addition and Subtraction are one step together and we solve them last

• ALL steps are solved in their order from left to right

Multiple Choice

5 x (4 + 8)

• 50

• 28

• 60

• 44

Multiple Choice

4 + 6 x (9 - 4)

• 50

• 34

• 86

• 15

Multiple Choice

4 + 3 x (9 - 7)

• 112

• 56

• 14

• 10

Multiple Choice



 $\left(35\ -\ 3\right)\div\left(1\ +3\right)$  

• 8

• 36

• 35

• 4

Multiple Choice

 $\left(4+14\right)\ \div\left(2+4\right)$  

• 2

• 12

• 24

• 3

Using words to create expressions

• We need to be able to identify key words that let us know the operations that will be performed.

• Quotient = Division

• Product = Multiplication

• Difference = Subtraction

• Sum = Addition

• Parenthesis are used when we need something to happen first in an expression

Multiple Choice

Which Expression shows "multiply 9 and 6 and then add 3"

• $9+6\times3$

• $\left(9\times6\right)+2$

Multiple Choice

Which phrase means the same as the expression

 $4\ \times\ \left(13-8\right)$  

• four times the difference of 13 and 8

• four times the sum of 13 and 8

• 8 subtracted from 4 times 13

• 13 subtracted from 8 times 4

Multiple Choice

Which phrase means the same as the expression

 $9-8\div2$  

• nine minus eight divided by two

• eight divided by two subtracted from nine

• nine subtracted from the quotient of eight and two 

Multiple Choice

Which expression shows "the product of 10 and 3 is subtracted from the difference of 8 and 4"?

• $\left(10\ \times3\right)-\left(8-4\right)$

• 10 x 3 - 8 - 4

• $\left(8-4\right)\ -\ \left(10\ \times3\right)$

Multiple Choice

The KBS flower club is making floral arrangements for Valentine's day. The class has 16 students. Each student will make 6 arrangements. Each arrangement will have 3 roses and 4 carnations. Which of the following is equal to the total number of flowers the class would need to make the arrangments?

• $16\times6\times\left(3+4\right)$

• $16\times6+3+4$

• $\left(16\times6\right)+\left(3\times4\right)$

• $16+6+3+4$

Multiple Choice

At 9:40 am there were 35 people on a bus. At 10:00 am, 13 people got off the bus and 5 people got on. Which expression shows how many people were on the bus at 10:00 am?

• 35 + 13 + 5

• 35 - 13 - 5

• 35 +1 3 - 5

• 35 - 13 + 5

Multiple Choice

An expression is described in words here: Subtract 5 from 17 then divide by 3. Which of the following expressions matches the phrase seen here?

• $\left(17\ -\ 5\right)\div3$

• $17\ -\ 5\ \div\ 3$

• $17\div3-5$

• $17\div3-5$

Multiple Choice

An expression is described in words below:

Divide 19 by 4, subtract, 14, and then add 23.

How would this expression be represented in standard form?

• $19\div4-14+23$

• $4\div19-22+14$