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Using the Distributive Property Quiz

Learn guitar chords for FREE through our new game Chord Master: http://bit.ly/ChordMasterYT In this video, Mahalo math expert Allison Moffett gives you a quiz to test your knowledge of the distributive property. Question 1 --------------------------------------------------------------------- Use the distributive property to expand this equation: 3 (4x - 7) 1. 9x 2. 12x - 21 3. 12x - 7 4. 4x - 21 If You Chose #1 --------------------------------------------------------------------- You may have added or subtracted some of the terms. Here's how to get the correct answer: You must distribute the three to each of the terms within the parentheses. That means, you will multiply three times four X and three times seven. This gives you 12x and 21 as your terms. Keep the sign in between them for 12x - 21. If You Chose #2 --------------------------------------------------------------------- You're correct! Check your work below: You must distribute the three to each of the terms within the parentheses. That means, you will multiply three times four X and three times seven. This gives you 12x and 21 as your terms. Keep the sign in between them for 12x - 21. If You Chose #3 --------------------------------------------------------------------- You may have distributed the three to their first term but not the second. Here's how to get the correct answer: You must distribute the three to each of the terms within the parentheses. That means, you will multiply three times four X and three times seven. This gives you 12x and 21 as your terms. Keep the sign in between them for 12x - 21. If You Chose #4 --------------------------------------------------------------------- You may have?distributed the three to their second term but not the first. Here's how to get the correct answer: You must distribute the three to each of the terms within the parentheses. That means, you will multiply three times four X and three times seven. This gives you 12x and 21 as your terms. Keep the sign in between them for 12x - 21. Question 2 --------------------------------------------------------------------- Using the distributive property, simplify the following multiplication problem then solve. 86 x 15 1. 1290 2. 516 3. 101 4. 168 If You Chose #1 --------------------------------------------------------------------- You're correct! Check your work below: First, separate the second term into more workable terms. So 15 breaks down into 10 plus five. We have 86(10 + 5). The distributive property says we can multiply the outside term to each of the inside terms, so we end up with 86 x 10 + 86 x 5. Since 86 times 10 is 860 and 86 times 5 is 430, we end up with 860 + 430. That leaves us with 1290 as our answer. If You Chose #2 --------------------------------------------------------------------- You may have added 86 times one and 86 times five. Here's how to get the correct answer: First, separate the second term into more workable terms. So 15 breaks down into 10 plus five. We have 86(10 + 5). The distributive property says we can multiply the outside term to each of the inside terms, so we end up with 86 x 10 + 86 x 5. Since 86 times 10 is 860 and 86 times 5 is 430, we end up with 860 + 430. That leaves us with 1290 as our answer. If You Chose #3 --------------------------------------------------------------------- You may have added 86 and five instead of multiplying them. Here's how to get the correct answer: First, separate the second term into more workable terms. So 15 breaks down into 10 plus five. We have 86(10 + 5). The distributive property says we can multiply the outside term to each of the inside terms, so we end up with 86 x 10 + 86 x 5. Since 86 times 10 is 860 and 86 times 5 is 430, we end up with 860 + 430. That leaves us with 1290 as our answer. If You Chose #4 --------------------------------------------------------------------- You may have used the distributive property incorrectly when you split up the numbers to multiply them. Here's how to get the correct answer: First, separate the second term into more workable terms. So 15 breaks down into 10 plus five. We have 86(10 + 5). The distributive property says we can multiply the outside term to each of the inside terms, so we end up with 86 x 10 + 86 x 5. Since 86 times 10 is 860 and 86 times 5 is 430, we end up with 860 + 430. That leaves us with 1290 as our answer. Question 3 --------------------------------------------------------------------- Rewrite the following equation by using the distributive property. 10x + 35 1. 5 (2x + 35) 2. 5 Read more by visiting our page at: http://www.mahalo.com/distributive-property-quiz/
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