Week 14 - Wednesday’s Homework________________ I need to see ALL of your thinking, so show all work. NO WORK = NO CREDIT 1. 1 Write ( 3 )3 in expanded form and then find the product. Name:________________________________Due by Friday 8. How many terms does the following expression have? Circle each term. 14x + 8y + 24 9. 52 - (18 − 2) +5×4 8 2. 25y ÷ 5 · 3 + 9y 10. Find the prime factorization of 124. 3. Write an expression for the following situation: “To calculate the area of a triangle, you find the product of the base and height and then divide by 2.” Write an algebraic expression for each phrase. 11. “A number n decreased by 13” 4. 8( x + 3y + 2z) + 4( x + 6y) 12. “13 decreased by n” 13. “Four times the quantity of x plus 3” 5. In a contest organized by a radio station prizes were given. Every second caller to participate received a pen, every fourth caller received a free movie ticket, and every fifth caller was given a flash drive. Which caller was the first to receive a pen and a free movie ticket? 14. “Nine less than x squared.” 15. “The quantity of x plus seven, squared.” 16. “ The quantity of x minus 1, divided by eight.” 6. Use the distributive property to write an equivalent expression in expanded form. 3(7c + 12) 7. Evan has double the amount of t-shirts that Marc has. The equation that represents this situation is y=2x, where y represents the total number of t-shirts Evan has and x represents the number of t-shirts Marc has. If Marc has 12 t-shirts, how many t-shirts does Evan have? 17. A horse’s heart rate is about 38 beats per minute. a. How many times will a horse’s heart beat in 3 minutes? b. How many times will a horse’s heart beat in 10 minutes? c. How many times will a horse’s heart beat in b minutes?
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