Learning Target: I can translate words and phrases into algebraic expressions. Learning Target: I can translate words and phrases into algebraic expressions.
Algebraic Expressions
An algebraic expression is a math expression that can include numbers (like 5 or 1/2), variables (like x or y) and operation symbols (like +, −, ×, or ÷).
An expression that does not include variables can be referred to as a numeric expression.
Words and phrases can be translated into these kinds of expressions.
Here are some word phrases used in different algebraic expressions.
Addition
Subtraction
Multiplication
Division
Let's Practice Together
Write a numeric or algebraic expression to represent each phrase.
1. 15 added to the sum of 11 and 18
2. 7.3 times a number, n
Your Turn
3. 15 decreased by 8
4. 5 more than the difference of 12 and 4
5. 10 less than the quotient of an unknown amount, x, and 4
6. half of the sum of 9 and 3
Check for Understanding
1. To calculate a pitcher's earned run average, you take the product of 9 and the number of earned runs (r), and divide by the number of innings pitched (p). Write this as an algebraic expression.
Answers
1. 15 + (11 + 18)
2. 7.3n
3. 15 - 8
4. (12 - 4) + 5
5. x/4 - 10
6. 1/2(9 + 3)
Check for Understanding
1. (9 × r) ÷ p
