Algebra 1 Final Review 2023

Front

What does it mean when an equation has infinite solutions?

Back

An equation has infinite solutions when any value of the variable satisfies the equation, indicating that the two sides of the equation are equivalent for all values.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is in the form x = a, where 'a' is the x-coordinate of any point on the line.

Front

When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide both sides of the inequality by a negative number.

Front

How do you solve a system of equations by substitution?

Back

To solve by substitution, solve one equation for one variable, then substitute that expression into the other equation.

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals, meaning if one slope is m, the other is -1/m.

Front

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

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the solution to the equation 3(x-8)=3x-24?

Back

The solution is infinite solutions, as both sides simplify to the same expression.

Front

What is the y-intercept of the line y = 2x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 and solve for x.