EOC Algebra 1 Review 3

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

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 coordinates of the two points.

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 steep the line is and the direction it goes (positive or negative).

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you write a linear equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope of the line. It shows how much y changes for a unit change in x.

Front

What does it mean if a slope is negative?

Back

A negative slope indicates that as x increases, y decreases, meaning the line goes downwards from left to right.

Front

What is the formula for calculating total earnings after working hours with deductions?

Back

Total earnings can be calculated using the formula y = mx - d, where m is the hourly wage, x is the number of hours worked, and d is the deduction.

Front

How do you interpret the solution of a linear equation in a real-world context?

Back

The solution represents the values of the variables that satisfy the equation, often corresponding to quantities or amounts in a real-world scenario.

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables. Solutions are the points where the equations intersect.