Exploring Algebraic Expressions and Variables

This lesson introduces algebraic expressions, focusing on variables and constants. It explains how variables represent unknown values and can vary across equations. The lesson covers writing and interpreting algebraic expressions using operations like addition, subtraction, multiplication, and division. It also discusses using clue words to translate phrases into algebraic expressions and applying these concepts to real-world scenarios. The lesson concludes with a brief overview of the next topic.

What does a variable represent in an algebraic expression?

• A mathematical operation

• A constant value

• An unknown amount

• A specific number

In the equation 2 + x = 5, what is the value of x?

• 5

• 4

• 3

• 2

Which symbol is typically used to represent multiplication in algebraic expressions?

• +

• •

• ÷

• x

What is a constant in an algebraic expression?

• A symbol that represents an unknown amount

• An operation symbol

• A number that does not change

• A variable that can vary

Which clue word indicates addition in a word problem?

• Difference

• Quotient

• Product

• Sum

How would you write 'five subtracted from x' as an algebraic expression?

• 5 - x

• 5 + x

• x + 5

• x - 5

What does the expression 6x represent?

• 6 minus x

• 6 times x

• 6 divided by x

• 6 plus x

If x - y = 2 and x = 5, what is the value of y?

• 2

• 3

• 5

• 4

Which variables are commonly used in algebraic expressions?

• a, b, c, d, e

• m, n, o, p, q

• p, q, r, s, t

• x, y, n, a, b

If Tala saw three more sparrows than cardinals, and she saw 2 cardinals, how many sparrows did she see?

• 4

• 3

• 5

• 2