Algebra 1 Semester 1 Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What does it mean for a point to be a solution to an inequality?

Back

A point is a solution to an inequality if it satisfies the inequality when the coordinates of the point are substituted into the inequality.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

To determine if a point is a solution to a system of inequalities, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What is the graphical representation of an inequality?

Back

The graphical representation of an inequality is a shaded region on a graph, indicating all the possible solutions that satisfy the inequality.

Front

What does the symbol '>' mean in an inequality?

Back

'>' means 'greater than'. It indicates that the value on the left side of the inequality is larger than the value on the right side.

Front

What does the symbol '<' mean in an inequality?

Back

'<'' means 'less than'. It indicates that the value on the left side of the inequality is smaller than the value on the right side.

Front

What is the difference between '≥' and '>'?

Back

'≥' means 'greater than or equal to', while '>' means 'greater than'. The former includes the boundary value, while the latter does not.

Front

What is the difference between '≤' and '<'?

Back

'≤' means 'less than or equal to', while '<' means 'less than'. The former includes the boundary value, while the latter does not.

Front

How do you solve a system of equations graphically?

Back

To solve a system of equations graphically, plot each equation on the same graph and identify the point(s) where the lines intersect. This point(s) represents the solution(s) to the system.

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all equations in the system true.