In this lesson our instructor talks about simplifying algebraic expressions. She talks about term and like terms. She discusses combining like terms and does two example problems. She talks about writing and simplifying expressions. She then talks more about distributing and simplifying. Four extra example videos round up this lesson.
A term is a number, a variable,
or the product of a number and one or more variables. The terms of
an algebraic expression are separated by plus and minus signs.
You can combine terms when they
are like terms. Like terms are those that have exactly the same
There is a coefficient of 1 in
front of a variable that does not have any numeric coefficient. For
example you can write 1x as x or −1y as −y.
3x + x − 12x =
4x − 12x =
− 6x − 3x =
Larissa buys 3 drinks for a party. Michael buys 5 drinks for the party. Nick buys 7 drinks for the party. Write and simplify an algebraic expression to represent the total cost of the drinks.
Let d = cost of one drink.
3d + 5d + 7d =
In one trip to the store, you buy 2 oranges. On the second trip, you buy 7 more oranges. Write and simplify an algebraic expression to represent the total cost of oranges.
Let c = cost of an orange.
2c + 7c =
3x + 4(x − 6) =
3x + 4x − 24 =
7x − 24
8(2y − 3) + 8y =
16y − 24 + 8y =
24y − 24
6x − 10 + 2x + 13 =
8x + 3
1.2(4 + x) − 3.4x =
4.8 + 1.2x − 3.4x =
4.8 − 2.2x
Eric fed his dog 5 dog treats, his sister fed the dog 2 dog treats, and his brother fed the dog 9 dog treats. Write and simplify an algebraic expression to represent the total amount of calories the dog consumed.
*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.
Simplifying Algebraic 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.