For more information, please see full course syllabus of Pre Algebra

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For more information, please see full course syllabus of Pre Algebra

For more information, please see full course syllabus of Pre Algebra

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### Numerical Expressions

- Mathematicians have agreed upon a convention for performing arithmetic operations, called the order of operations, so that any mathematical expression will always have the same value.
- Order of Operations
- Parentheses (work inside grouping symbols)
- Exponents
- Multiply and Divide in order from left to right
- Add and Subtract in order from left to right

### Numerical Expressions

18 ×3 − 49 ÷7 ×3 =

- 54 − 49 ÷7 ×3 =
- 54 − 7 ×3 =
- 54 − 21 =

33

44 ÷(16 − 12) + 7 ×5 =

- 44 ÷4 + 7 ×5 =
- 11 + 35 =

46

(14 − 7) + 72 ÷9 − (8 + 3) =

- 7 + 72 ÷9 − (8 + 3) =
- 7 + 8 − (8 + 3) =
- 7 + 8 − 11 =
- 15 − 11 =

4

7.4 + ((57.7 − 41.5) − 9.1) =

- 7.4 + (16.2 − 9.1) =
- 7.4 + 7.1 =

14.5

2(5 + (27.4 − 6 − (15.4 − 2.5))) =

- 2(5 + (27.4 − 6 − 12.9)) =
- 2(5 + (21.4 − 12.9)) =
- 2(5 + 8.5) =
- 2(13.5) =

27

((11 ×2 + 3) ÷5 ×2 + 10) ÷4 =

- ((22 + 3) ÷5 ×2 + 10) ÷4
- (25 ÷5 ×2 + 10) ÷4 =
- (5 ×2 + 10) ÷4 =
- (10 + 10) ÷4 =
- 20 ÷4 =

5

((17 + 5 ×2) ÷3 − 1) ÷4 =

- ((17 + 10) ÷3 − 1) ÷4 =
- (27 ÷3 − 1) ÷4 =
- (9 − 1) ÷4 =
- 8 ÷4 =

2

While shopping for school, you buy two notebooks for $ 4.25 each, three pens for $ 1.50 each, and 5 pencils for $ 0.75 each. How much money did you spend total?

- 2($ 4.25) + 3($ 1.50) + 5($ 0.75) =
- $ 8.50 + $ 4.50 + $ 3.75 =
- $ 13.00 + $ 3.75 =

$ 16.75

A family with 3 children, 2 adults, and 1 senior citizen purchase tickets for a movie. A child ticket costs $ 7, an adult ticket costs $ 10.50, and a senior ticket costs $ 8. What is the total cost of their tickets?

- 3($ 7) + 2($ 10.50) + $ 8 =
- $ 21 + $ 21 + $ 8 =
- $ 42 + $ 8 =

$ 50

Michelle is shopping for groceries. She buys 2 apples for $ 1.50 each, 6 bananas for $ 0.75 each, 10 strawberries for $ 0.25 each, and 1 pineapple for $ 5. How much did Michelle spend on groceries?

- 2($ 1.50) + 6($ 0.75) + 10($ 0.25) + $ 5 =
- $ 3 + $ 4.50 + $ 2.50 + $ 5 =
- $ 7.50 + $ 2.50 + $ 5 =
- $ 10 + $ 5 =

$ 15

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

### Numerical Expressions

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro
- What You'll Learn and Why
- Vocabulary
- Simplifying an Expression
- Simplifying an Expression
- Using an Expression to Solve a Problem
- Using an Expression to Solve a Problem
- Extra Example 1: Simplify the Expression
- Extra Example 2: Simplify the Expression
- Extra Example 3: Finding Total Cost
- Extra Example 4: Finding Total Cost

- Intro 0:00
- What You'll Learn and Why 0:08
- Topics Overview
- Vocabulary 0:22
- Order of Operations
- Numerical Expression
- Simplify
- Simplifying an Expression 1:44
- Example 1: Simplify the Expression
- Simplifying an Expression 3:26
- Example 2: Simplify the Expression
- Using an Expression to Solve a Problem 4:29
- Example 3: Babysitting
- Using an Expression to Solve a Problem 6:14
- Example 4: Shopping
- Extra Example 1: Simplify the Expression 7:35
- Extra Example 2: Simplify the Expression 8:55
- Extra Example 3: Finding Total Cost 10:02
- Extra Example 4: Finding Total Cost 11:44

0 answers

Post by Mohamed E Sowaileh on July 10 at 08:21:34 AM

Hello Dr. Nancy Fung,

I hope you are very well.

I am a student who is extremely weak in math. In order to be very strong in math, specially for engineering field, could you provide me with sequential order of mathematical topics and textbooks. With what should I begin so that I can master big topics like calculus, statistics, probability ... etc.

Your guidance is precious to me.

Thank you so much.

0 answers

Post by Firebird wang on November 2, 2016

Are you able to watch the AP Statistics Practice Test 2013 and 2014 video?

0 answers

Post by sahro AbdiOmar on June 16, 2016

I THINK YOU SHOULD SLOW DOWN YOUR GOING TOO FAST

0 answers

Post by Denise Bermudez on February 13, 2015

Hi, Im getting an error as well.

Looking forward to future lessons without any inconvenience.

thank you

0 answers

Post by christine solomon on October 9, 2014

hello I'm having problems

its says network error...unable to see any infor

0 answers

Post by Darren Bellizzi on September 30, 2014

what happened to 49?

0 answers

Post by Professor Fung on November 2, 2013

Hi Richard,

Thank you for your comment and question. It's not possible to download, only to stream.

0 answers

Post by RICHARD OGBONNA on October 28, 2013

How can l download a lesson?

0 answers

Post by RICHARD OGBONNA on January 13, 2013

All instructions within the reach of an average student. Thank you Mrs. Fung.

4 answers

Last reply by: Professor Fung

Sat Dec 1, 2012 3:45 AM

Post by Jonathan Taylor on May 22, 2012

Mrs Fung I have question any example on writing and expression as a fraction 3+4/5+6

1 answer

Last reply by: Richard Nadar

Mon May 12, 2014 9:29 PM

Post by Meoung-Jin Lim on May 21, 2012

That kind of explained something . . . the bad part of the video was when she kept doing examples, I was like, I know this already! all the time, she should have explained something else too.

0 answers

Post by Robert Donnelly on March 5, 2012

The babysitting word problem is worded so that you don't actually state that the friend gets paid by the hour that's just an assumption. If you read what you wrote its not stating that at all its actually stating this: ($6.5*5)+$5.25