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Expressions. Question 1 - 10. Write two expressions equivalent to 4x + 4y. Answer 1 – 10. 4(x + y) x + x + x + x + y + y + y + y 2(x + y) + 2(x + y) (x + y) + (x + y) + (x + y) + (x + y). Question 1 - 20.

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## Expressions

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**Question 1 - 10**• Write two expressions equivalent to 4x + 4y**Answer 1 – 10**• 4(x + y) • x + x + x + x + y + y + y + y • 2(x + y) + 2(x + y) • (x + y) + (x + y) + (x + y) + (x + y)**Question 1 - 20**• Use the distributive property to write an expression that is equivalent to 7(3x – 4).**Answer 1 – 20**• 21x – 28**Question 1 - 30**• Use the distributive property to find an expression that is equivalent to 27x2 – 42x + 12.**Answer 1 – 30**• 3(9x2 – 14x + 12)**Question 1 - 40**• Find Jon’s mistake.**Answer 1 – 40**• Jon didn’t follow the order of operations. He subtracted 7 and 3 instead of distributing the 3.**Question 2 - 10**• Micah and three friends bought a total of 4 bags of pretzels and 4 drinks at the snack stand. If a bag of pretzels costs x dollars, and a drink costs y dollars, what expression could you write to show how much the friends spent in all?**Answer 2 – 10**• 4x + 4y • 4(x + y)**Question 2 - 20**• Stephanie wants to buy s tomato plants, and Diego wants to buy d tomato plants. Each plant costs $7. Stephanie will use a coupon that will give them $25 off the total cost of all their plants. Write an expression to represent the total cost of all the plants with the discount.**Answer 2 – 20**• 7(s + d) – 25 • 7s + 7d – 25**Question 2 - 30**• Leroy plants a flower garden that is 4 m long and more than 3 m wide. The expression 4(3 + x) represents the area of the garden. Write an expression that is equivalent to 4(3 + x).**Answer 2 – 30**• 12 + 4x • 4x + 12**Question 2 - 40**• Jonathan and Trina both earn $12 per hour, but Trina earned a $15 bonus this week for being on time every day. Let J = number of hours that Jonathan worked this week and T = number of hours that Trina worked this week. Write an expression to represent the total amount that Jonathan and Trina earned this week.**Answer 2 – 40**• 12(J + T) + 15 • 12J + 12T + 15**Question 2 - 50**• Jim starts with 3 lives on his video game. He earns 2 lives every time he crushes a certain number of boxes, b. Write an expression to represent the number of lives Jim has in his video game.**Answer 2 – 50**• 2b + 3**Question 3 - 10**• The price of a $198.00 smart phone is discounted 40% for a special promotion. What is the sale price of the phone?**Answer 3 – 10**• 198.00 - 198.00(.40) = 118.80**Question 3 - 20**• A customer calculated the cost of a new jacket, c, including a 7% sales tax. Write two expressions to represent the situation.**Answer 3 – 20**• 1.07c • c + .07c**Question 3 - 30**• A store manager paid $15 for a computer case and sells it in the store for 65% more than she paid. Write an expression to represent the price of the computer case in the store.**Answer 3 – 30**• 15(1.65) • 15 + (.65)15**Question 3 - 40**• A camcorder with a price of $300. It is discounted 25%, then discounted again by another 15%. Write an expression to represent the final price of the camcorder. • Chris says that the two discounts are equivalent to a single discount of 25% + 15%, or 40%. Do you agree?**Answer 3 – 40**• (300 – (.25)300) - .15(300 – (.25)300) • (.75 x 300)(.85) • The discounts are not equal to a 40% discount.**Question 3 - 50**• The price of headphones that regularly sell for $99 increases by 30%. Write an expression to represent the new price of the headphones.**Answer 3 – 50**• 99(1.3) • 99 + (.3)99**Question 4 - 10**• Write two expressions to represent the perimeter of the square.**Answer 4 – 10**• 4(c – 9) • (c – 9) + (c – 9) + (c – 9) + (c – 9)**Question 4 - 30**• The length of a rectangle is x feet. Its width is (x – 7) feet. Draw and label a rectangle to represent this situation. Then write three different expressions you could use to find its perimeter.**Answer 4 – 30**• 2x + 2(x – 7) • 2x + 2x – 14 • 4x – 14 • 2(2x – 7)**Question 4 - 40**• Each of the two congruent sides of an isosceles triangle is 2n + 7 and the third side is 3n. Draw and label the triangle. Then write two equivalent expressions for its perimeter.**Answer 4 – 40**• (2n + 7) + (2n + 7) + 3n • 7n + 14 • 7(n + 2)**Answer 4 – 50**• A, C, E

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