{"page":"\n\n
\n
\n
\n
\n
\n\nVideo\n
\n

\nSimplifying Expressions\n

\n
\n
\nGet Free Access for 10 Days!\n
\n
\n
\n
\n
\n
×
\n\n\n
\n\nPublisher:\n\nFuseSchool\n\n\n
\n
\nIn this video we’re going to look at how to simplify algebraic expressions. Before we get started on simplifying, a few things to remember: (1) we always use a use a curly x for the letter x in algebra. (2) We don’t really use the...\nIn this video we’re going to look at how to simplify algebraic expressions. Before we get started on simplifying, a few things to remember:

(1) we always use a use a curly x for the letter x in algebra.

(2) We don’t really use the multiplication sign. 3a is how we write 3 X a.

(3) Instead of using the division sign, we use fractions.

3 divided by 2 is written as 3/2. In algebra we are often asked to simplify something, or to put it in its simplest form. Generally speaking, the simpler it is, the easier it is to use. We just need to combine like terms. Simplify fully 5a - 2b + 3a + 2 + 4b - 7. We combine the a’s to get 8a, and we combine the b’s (including the sign in front of each term) to get 2b. And finally we combine the numbers to get -5. Answer: 8a + 2b - 5. We cannot combine different letters so that is the simplest form. This expression may represent 8 apples and 2 bananas, which are different things so cannot be added together. For division, you can cancel numbers exactly as you would with fractions. And also you can also cancel down letters.

So if you have a to the power of 5 in the numerator and a to the power of 3 in the denominator, we can cancel these down to end up with a to the power of 2 in the numerator and no a's left in the denominator. We can also simplify by factoring into brackets or by expanding brackets - which are skills we will look at in other videos.\n
\n
\n\n
\n
\n
\n
\n

Resource Details

\n
\n
\n
\n
Curator Rating
\n
\n
\n
\n
\n
\n
Educator Rating
Not yet Rated
\n
\n
\n
\n
\n
Media Length
\n
4:21
\n
\n
\n
\n
\n
Grade
6th - Higher Ed
\n
\n
\n
\n
\n
Subjects
Math
10 more...
\n
\n
\n
\n
\n
Media Type
Instructional Videos
\n
\n
\n
\n
\n
Source:
\n
\nFuseSchool - Global Education\n\n
\n
\n
\n
\n
\n
Date
\n
2017
\n
\n
\n
\n
\n\n
Language
English
\n
\n
\n
\n
\n
Audiences
For Teacher Use
2 more...
\n
\n
\n
\n
\n
Usage Permissions
Fine Print: Educational Use
\n
\n
\n
\n
\n
\n

Additional Materials

\n
\n\nSign in or Join Now
\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" href=\"/subscription/new\">Video Transcript\n
\n
\n\nSign in or Join Now
\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" href=\"/subscription/new\">Video Preview\n
\n
\n
\n

Concepts

\n
\n
numbers, simplifying, fractions, questions, power, bees, time, expressions, substitution, algebraic expressions
\n
\n\n\n
\n
\n
\n
\n

Additional Tags

\n
\n
maths, digital learning, online learning, learn maths, school maths, mathematics, gcse maths, high school maths, maths help, free online education, fuseschool, fuse school, algebra, letter, substitute, replace, solving, simplify, simplest form, click play, brackets, video, combine, term, letters, expression, give, pause, ready, group, question, subtract 2, cancel, numerator, denominator, means, leaving, bottom
\n
\n\n\n
\n
\n
\n
\n

Classroom Considerations

\n
Best For: Explaining a topic
Video is ad-free
\n
\n
\n

Educator Ratings

\n
\n
\n
\n
\n
\n\nShow resource details\n
\n
\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Simplifying Expressions\" href=\"/subscription/new\">\"Simplifying\n\n
\n
\n
\n\n\n\n"}