Algebra 1 Final Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you solve a system of equations by substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Front

What does GCF stand for in algebra?

Back

Greatest Common Factor, the largest factor that divides two or more numbers.

Front

How do you factor out the GCF from an expression?

Back

Identify the GCF of the terms, then divide each term by the GCF and write it outside the parentheses.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the elimination method for solving systems of equations?

Back

Add or subtract equations to eliminate one variable, making it easier to solve for the other.

Front

What does it mean if a system of equations has no solution?

Back

The lines represented by the equations are parallel and never intersect.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

How do you graph a linear equation?

Back

1. Identify the y-intercept (b). 2. Use the slope (m) to find another point. 3. Draw a line through the points.