A.1a, A.2c Verbal Expressions and Factoring

Front

What is a verbal expression in mathematics?

Back

A verbal expression is a mathematical phrase that describes a relationship using words, often involving operations like addition, subtraction, multiplication, or division.

Front

Translate the verbal expression 'The sum of x and 3' into an algebraic expression.

Back

x + 3

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

Factor the expression: 4n^2 - 17n - 15.

Back

(n - 5)(4n + 3)

Front

Factor the expression: x^2 + 2x - 3.

Back

(x - 1)(x + 3)

Front

Translate the verbal expression 'Three less than a number' into an algebraic expression.

Back

x - 3

Front

What is the algebraic equation for 'Nine less than a number squared is 40'?

Back

x^2 - 9 = 40

Front

What is the solution to the equation x + 3 = 5?

Back

x = 2

Front

How do you solve the equation x - 3 = 12?

Back

Add 3 to both sides: x = 15.

Front

What is the first step in factoring a quadratic expression?

Back

Identify the coefficients of the quadratic, linear, and constant terms.