Practice Test on Writing Linear Equations and Problem Solving

Front

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

Back

Front

How do you find the equation of a line given a slope and a point?

Back

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.

Front

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

Back

Front

How do you convert from point-slope form to slope-intercept form?

Back

Front

What is the formula for calculating the total cost in a linear cost model?

Back

Front

If a movie ticket costs $10 and popcorn costs $5, how would you express the total cost equation?

Back

Front

What is the first step in solving a word problem involving linear equations?

Back

Identify the variables and write an equation based on the information given in the problem.

Front

How do you determine the number of solutions for a system of linear equations?

Back

A system can have one solution (intersecting lines), no solution (parallel lines), or infinitely many solutions (coincident lines).

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients represent the relationship between the variables; they indicate how much one variable changes in relation to another.