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Question Video: Evaluating Algebraic Expressions by Substitution Mathematics • 6th Grade

Evaluate 4𝑦 × 46𝑥 − 1,000 given that 𝑥 = 6 and 𝑦 = 17.

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Video Transcript

Evaluate four 𝑦 multiplied by 46𝑥 minus 1,000, given that 𝑥 is equal to six and 𝑦 is equal to 17.

In this question, we are asked to evaluate an algebraic expression involving variables 𝑥 and 𝑦 using given values for both of the variables. To answer this question, we first need to substitute 𝑥 is equal to six and 𝑦 is equal to 17 into the given expression. Remember, when we have a number written next to a variable, we are multiplying them together. This gives us four times 17 multiplied by 46 times six minus 1,000.

We can now recall that in the order of operations, multiplication comes before subtraction, so we need to evaluate the product of these four numbers. In fact, we know that multiplication is commutative and associative, so we can multiply these numbers in any order. There is no easy way to do this. So we just use a calculator to find that four times 17 times 46 times six is equal to 18,768. Finally, we subtract 1,000 from this value to see that four 𝑦 times 46𝑥 minus 1,000 is equal to 17,768 when 𝑥 is equal to six and 𝑦 is equal to 17.

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