Algebra Midterm Review Flashcardizz

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x is 0.

Front

How do you write a linear equation for a real-world scenario?

Back

Identify the fixed costs and variable costs, then express the total cost as a function of the number of items (x) sold or used.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.

Front

What is the solution to a system of equations?

Back

The solution to a system of equations is the point (or points) where the graphs of the equations intersect.

Front

What does it mean if a system of equations has no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

How do you combine like terms in an expression?

Back

Combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is the process for simplifying an algebraic expression?

Back

To simplify an algebraic expression, combine like terms, remove parentheses, and perform any arithmetic operations.

Front

What is the significance of the constant term in a linear equation?

Back

The constant term (b in y = mx + b) represents the value of y when x is 0, indicating the starting point of the line.

Front

How do you determine the slope from two points on a line?

Back

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