Algebra Semester 1 Review 2024-2025 (Units 1-6) 24-25

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. For example, if a function has outputs between 1 and 5, the range is 1 ≤ y ≤ 5.

Front

What does it mean for a graph to represent a system of inequalities?

Back

A graph representing a system of inequalities shows the regions where the inequalities overlap. The solution to the system is the area where all inequalities are satisfied.

Front

How do you write an absolute value function with transformations?

Back

To write an absolute value function with transformations, identify the parent function, apply the transformations (reflections, shifts), and express it in the form y = a|x - h| + k, where (h, k) is the vertex.

Front

What is the inequality form of a linear equation?

Back

An inequality form of a linear equation expresses a relationship where one side is less than or greater than the other, such as 3x - 2y < 10.

Front

How do you set up a system of equations for a word problem?

Back

To set up a system of equations for a word problem, define variables for the unknowns, translate the problem into equations based on the relationships described, and ensure the equations represent the total quantities and relationships.

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). A relation can have multiple outputs for a single input.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if its output values fall as the input values increase.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept of a linear equation, set y = 0 and solve for x.

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.