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Discover the Equivalent Expressions with our full solution guide. Get step-by-step solutions, watch video solutions, and practice with exercises to master the Equivalent Expressions.
Equivalent expressions are expressions in algebra that are equal in value, even though they look different. Equivalent expressions will have the same value when we use the same value(s) for the variable(s).
Equivalent expressions are not just abstract algebraic concepts; they have practical applications in real-world scenarios. For example, they can be used in financial planning, engineering calculations, and solving problems involving rates and proportions.
Two expressions are equivalent if they have the same value for any possible substituted value(s) of the variable(s) involved. We use the symbol \; \equiv \; to show that two expressions are equivalent. For example, the equation 3x+2=14 is only true for one value of x, i.e. x=3.
Illustrate with real-life examples where equivalent expressions are used, such as in calculating budgets, recipes, or measurements in building projects. Provide clear examples to show how different expressions can be equivalent, and prepare to demonstrate this with additional problems in class.
Give students practice identifying equivalent expressions in real-world contexts with this seventh-grade algebra worksheet! In Equivalent Expression Word Problems: Part 1, learners are asked to circle all of the expressions that correctly represent each given word problem.
Algebraic expressions may be written in different ways, but still mean the same thing. For example, the expressions \[r+r+r+r \text{ and } 4r\] are equivalent. Regardless of what number is substituted for \(r,\) the two expressions will have the same value.
