Algebra 1 Semester 1 Final Exam Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other. Examples include x > 5, x ≤ 10.

Front

What does the notation x ≥ 0 mean?

Back

The notation x ≥ 0 means that x is greater than or equal to 0.

Front

How do you find the slope of a line perpendicular to another line?

Back

To find the slope of a line perpendicular to another line, take the negative reciprocal of the slope of the original line. For example, if the slope is m, the perpendicular slope is -1/m.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values that satisfy the equation. For example, the equation x + 1 = x + 2 has no solution.

Front

What is the difference between one solution, no solution, and infinite solutions?

Back

One solution means there is exactly one value that satisfies the equation. No solution means no values satisfy the equation. Infinite solutions mean there are countless values that satisfy the equation.

Front

How do you solve for a variable in an equation?

Back

Front

What is the process of simplifying an equation?

Back

Simplifying an equation involves combining like terms, reducing fractions, and eliminating parentheses to make the equation easier to solve.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides are equal. This means that any operation performed on one side must also be performed on the other side.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed. It can be written in the form y = mx + b.