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A linear equation is an algebraic equation where the highest power on the variable is one. When graphed, a linear equation will produce a straight line. There are a few ways that we can write linear equations, with two of the most common being slope-intercept form and standard form.
Word Problems & Linear Equations. Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to graph a line specified by a linear function derived from a word problem. Graph a line specified by an initial value and a rate of change of a function and construct the linear function by interpreting the graph.
Write a system of linear equations to represent this information and find the values of the two numbers. Jane is organizing a fundraiser. The total number of adults and children attending is 80. The entrance fee for adults is $10, and for children, it is $5. The total amount collected is $600.
If you see the word rate, or even "per" or "each", it's a safe bet that a word problem is calling for a linear equation. There are a couple steps when translating from a word problem to a linear equation. Review them, then we'll work through an example. Find the y variable, or output.
Improve your math knowledge with free questions in "Write linear functions: word problems" and thousands of other math skills.
Practice solving linear function word problems with this algebra worksheet for eighth graders! In each of these relatable word problems, students will see a linear function at play in a real-world scenario, write an equation in slope-intercept form to represent the linear function, and then solve the linear function based on the given information.
Linear equation word problems. Video transcript. - [Instructor] When Quinn returned from vacation, he turned the heat back on in his home. He set the temperature as high as it could go. Q represents the temperature in Quinn's home in degrees Celsius after t minutes. This Q is equal to 15 plus 0.4t.
