Algebra 1 MidTerm Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥ to show that one expression is less than, greater than, or equal to another.

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if each input (x-value) is associated with exactly one output (y-value).

Front

What is the y-intercept of a line?

Back

The y-intercept of a line is the point where the line crosses the y-axis, represented as (0, y).

Front

How do you solve the equation 3x + 15 = 3(x + 5)?

Back

To solve, distribute the 3: 3x + 15 = 3x + 15. Since both sides are equal, there are infinitely many solutions.

Front

What is the difference between a function and not a function?

Back

A function has one output for each input, while a relation is not a function if any input has more than one output.

Front

What does the symbol < represent in inequalities?

Back

The symbol < means 'less than' and indicates that the value on the left is smaller than the value on the right.

Front

What does the symbol > represent in inequalities?

Back

The symbol > means 'greater than' and indicates that the value on the left is larger than the value on the right.

Front

What is the solution to the inequality 2x + 1 < -3?

Back

To solve, subtract 1 from both sides: 2x < -4, then divide by 2: x < -2.

Front

What is an example of a linear equation?

Back

An example of a linear equation is y = 2x + 3, which represents a straight line on a graph.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the two points.