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Worked-out word problems on linear equations with solutions explained step-by-step in different types of examples. There are several problems which involve relations among known and unknown numbers and can be put in the form of equations.
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.
Solve word problems leading to equations of the form px + q = r and p (x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
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.
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.
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.
