State exam math question on Order of Operations (#8). 5th Grade Math

NGSS Science Videos

This video helps children prepare for state math exams by explaining how to solve a retired (released) question from an actual state exam.    - If you want to copy any of our more than 100 free Google Forms (all with questions and links to free-access educational videos we've made), then please download this free file from TPT and it will give you directions for how to access them: https://www.teacherspayteachers.com/Product/State-Math-Test-questions-and-answers-as-a-Google-Form-2022-Q6-10-V2-11530867   Other free resources we've made:  - For links to many free educational resources, please visit our website (no 3rd party advertising, no subscriptions, no paywalls): https://TestPrepLLC.org/   - For our free apps for Apple's Mac and iPad (collects no data, no advertising, no subscriptions, no paywalls, no in-app purchases), please visit our page on the Apple App Store. These apps include Common Core and State based practice tests in math, and State science exams based on NGSS and State curriculums (all with detailed, colorful explanations): https://apps.apple.com/us/developer/test-prep-llc/id1727786893   Best wishes,  The staff at Test Prep LLC  https://TestPrepLLC.org

Transcript

00:00This video is part of a Google Form quiz that teachers can assign to their students for homework.

00:06After the students submit their answers, then they can play a video like this one to see the

00:10answer explained. We've made more than 100 quizzes as Google Forms with free access videos,

00:17which teachers are welcome to copy for free. To get access to these, please see the link in the

00:22description. This video is based on a question from an actual state exam. You may have one like

00:28this on your state exam. If you've already done so, we suggest that you watch the video on

00:34order of operations and substitution in math before watching this video.

00:41What is the value of 3 times a plus 5 when a equals 6? Enter your answer in the box.

00:49To solve this problem, we need to know about substitution and about the order of operations.

00:54We'll begin by using substitution. First, we rewrite the expression by replacing the

01:01multiplication x with an asterisk. Then we rewrite the expression by substituting the letter a with

01:10the number 6. That gives us 3 multiplied by 6 plus 5. Next, we need to know which operation to do first.

01:18Here's a reminder of the order of operations. For elementary school, they're free boxes. The order of

01:24operations tells us which order to do things in. We start with the top box, then do the middle box,

01:30then do the bottom box. The order is parentheses, then multiply and divide, then add and subtract.

01:38One way to remember what words go in each box is to use a memory aid like this sentence.

01:43Please make drinks and sandwiches. The first letter of each word in the memory aid is the same as the

01:49first letter in the order of operations. We also write in a reminder that if both are present,

01:55then do the left ones before the right ones. There are no parentheses, so we'll move down to the red

02:00box. There's a multiplication operation here. 3 times 6 equals 18. We bring down the 5 and the addition

02:08symbol. There's only one operation left, which is addition. 18 plus 5 equals 23.

02:1523. The value of this expression, when a equals 6, is 23. Thanks for your attention.

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