Algebra 1 Sem 1 Review

Front

What is the standard form of a linear inequality?

Back

A linear inequality in standard form is expressed as Ax + By ≤ C, where A, B, and C are constants.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line. Then, use a dashed line for < or > and a solid line for ≤ or ≥. Shade the region that satisfies the inequality.

Front

What does the symbol '≤' mean in a linear inequality?

Back

The symbol '≤' means 'less than or equal to', indicating that the values on the left can be equal to or less than the value on the right.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the range of a quadratic function?

Back

To find the range of a quadratic function, identify the vertex and determine if the parabola opens upwards or downwards. The range will be all values above or below the vertex.

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution when the lines represented by the equations are parallel and never intersect.

Front

What is the solution to a system of equations?

Back

The solution to a system of equations is the point(s) where the equations intersect, representing the values of the variables that satisfy all equations.

Front

How do you simplify a square root expression?

Back

To simplify a square root expression, factor out perfect squares from under the radical and simplify accordingly.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation shows equality (e.g., y = mx + b), while a linear inequality shows a relationship of less than, greater than, or equal to (e.g., y < mx + b).