Algebra 1 Midterm Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for < or > and a closed circle for ≤ or ≥. Shade the region that satisfies the inequality.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change of the dependent variable with respect to the independent variable.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you solve the inequality 12 + 3x < 2(x + 7)?

Back

First, distribute: 12 + 3x < 2x + 14. Then, subtract 2x from both sides: x < 2.

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope and indicates how much the dependent variable changes for a unit change in the independent variable.