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Learn how to solve equations using the distributive property with Khan Academy's interactive videos and exercises.
There are lots of strategies we can use to solve equations. Let's explore some different ways to solve equations and inequalities. We'll also see what it takes for an equation to have no solution, or infinite solutions.
By understanding how the numerator and denominator work together, you'll be able to break down numbers into smaller parts, compare different fractions, and get a grasp on concepts like equivalent fractions.
In this math lesson, we practice solving equations with variables and fractions. We learn to isolate the variable by adding or subtracting terms from both sides of the equation. This helps us find the value of the variable, making the equation true.
The variable x is in the denominator in 7 - 10/x = 2 + 15/x. We can multiply both sides of the equation by x to turn it into a more familiar, linear form without fractions. From there, we isolate the variable to solve. P.S. x cannot equal zero, because then the equation would be undefined.
Khan Academy gives instant feedback after every answer – including hints and video support if students are stuck. Math worksheets take up time to collect and take up valuable planning time to grade. Khan Academy questions are graded instantly and automatically for you.
Course: Algebra 2 > Unit 6. Lesson 3: Evaluating exponents & radicals. Evaluating fractional exponents. Evaluating fractional exponents: negative unit-fraction. Evaluating fractional exponents: fractional base. Evaluating quotient of fractional exponents. Evaluating mixed radicals and exponents.
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Learn eighth grade math—functions, linear equations, geometric transformations, and more. (aligned with Common Core standards)
A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.