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Intro to Algebraic Expressions
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What you will learn from this videoWhat you will learn
- An algebraic expression is a number sentence with an unknown number.
- How to simplify algebraic expressions by combining like terms.
- And we'll see how this knowledge can help us count savings, order pizza, and even study earthquakes!
- Discussion Questions
Before Video
What number is missing? How do you know? 5+ ___ =12ANSWER7; count on 7 units from 5, or subtract 5 from 12.
14; add 3 and 11 to get 14.
question mark, empty box, letter such as x
The last expression includes subtraction, while the first two use addition. The last two expressions include unknowns, while the first expression has only numbers.
5+9-3+16=14-3+16=11+16=27
After Video
Give examples of numerical expressions and algebraic expressions.ANSWERAn expression without a variable, such as 18+3, and with a variable, such as m-4.
An equation has two expressions set equal, showing that they have the same value.
Five: 4x,2, 8, 3y, 9
5 and 2 are coefficients, and 9 is a constant.
3x+17; 35
- Vocabulary
- Algebraic expression DEFINE
A number sentence with an unknown number.
- Simplify DEFINE
To make as simple as possible, such as by combining like terms to produce a more compact expression.
- Expression DEFINE
An incomplete number sentence (without an equal sign).
- Equation DEFINE
A complete number sentence stating that two expressions are equal to each other.
- Numerical expression DEFINE
An expression that does not have any variables.
- Variable DEFINE
An unknown amount represented by a letter.
- Terms DEFINE
Parts of an expression that are separated by addition or subtraction.
- Coefficient DEFINE
The number that is multiplied by a variable in a term.
- Constant DEFINE
A numerical term (it has no variable).
- Like terms DEFINE
Terms that contain the same variable, if any, and the same exponent, if any (for example, 3x and 4x, 5 and 8, 8y2 and 6y2).
- Algebraic expression DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide