Algebra Class: Writing and Evaluating Expressions

What is the expression for the sum of x and 10?

What is Jim's brother's age in terms of z if Jim is z years old?

What is the expression for the quotient of w and 8?

What is the expression for the sum of 4 and p?

What is the expression for the product of 3 and r?

What is Cheryl's father's age in terms of x if Cheryl is x years old?

What is the expression when you divide m by 7 and then subtract 4?

What is the value of x + x + 5 when x = 7?

What is the value of 5y - 8 when y = 3?

What is the value of 33 - 7w + 6 when w = 4?

Algebraic Expressions Study Notes

Sum of a Variable and a Constant: Represents addition; for example, the expression for "the sum of x and 10" is written as (x + 10).
Brother's Age in Terms of Variable: If Jim is (z) years old and his brother is 4 years older, his brother's age can be expressed as ((z + 4)).
Quotient Expression: The quotient of a variable and a constant, such as "the quotient of (w) and 8," is expressed as (\frac{w}{8}).
Sum with a Variable: For "the sum of 4 and (p)," the expression is (4 + p).
Product of a Constant and Variable: The phrase "the product of 3 and (r)" translates to the expression (3r).
Father's Age in Terms of Variable: If Cheryl is (x) years old and her father is 24 years older, his age can be expressed as ((x + 24)).
Operations on Variables: To "divide (m) by 7 and then subtract 4," the result is represented by the expression (\frac{m}{7} - 4).
Evaluating Expressions: For evaluating (x + x + 5) when (x = 7), the calculated value is 19.
Evaluating Linear Expressions: For the expression (5y - 8) when (y = 3), substituting yields the result of 7.
Complex Expression Evaluation: Evaluating (33 - 7w + 6) when (w = 4) results in a value of 11.

Test your understanding of writing and evaluating algebraic expressions with these flashcards. Each card presents a word problem or expression and its corresponding algebraic form. Perfect for students looking to reinforce their algebra skills!