Simplifying Expressions

Front

What is simplifying expressions?

Back

Simplifying expressions involves reducing a mathematical expression to its simplest form by combining like terms and applying mathematical operations.

Front

What does it mean to factor an expression?

Back

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

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

How do you solve for x in the equation x + 8 = -3?

Back

Subtract 8 from both sides: x = -3 - 8, so x = -11.

Front

What is an x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, meaning y = 0.

Front

How do you find the y-intercept of a line?

Back

To find the y-intercept, set x = 0 in the equation of the line and solve for y.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean to combine like terms?

Back

Combining like terms means adding or subtracting terms that have the same variable raised to the same power.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a parenthesis.