Expressions Equivalent Creating Expressions Percents Shapes 10 10
- Slides: 42
Expressions
Equivalent Creating Expressions Percents Shapes 10 10 20 20 30 30 40 40 50 50
Question 1 - 10 Write two expressions equivalent to 4 x + 4 y
Answer 1 – 10 4(x + y) x + x + y + y + y 2(x + y) + (x + y) + (x + y)
Question 1 - 20 Use the distributive property to write an expression that is equivalent to 7(3 x – 4).
Answer 1 – 20 21 x – 28
Question 1 - 30 Use the distributive property to find an expression that is equivalent to 27 x 2 – 42 x + 12.
Answer 1 – 30 3(9 x 2 – 14 x + 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 1 - 50
Answer 1 – 50
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 much the friends spent in all?
Answer 2 – 10 4 x + 4 y 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 7 s + 7 d – 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 + 4 x 4 x + 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 12 J + 12 T + 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 2 b + 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. 07 c c +. 07 c
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)
Question 4 - 20
Answer 4 – 20
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 2 x + 2(x – 7) 2 x + 2 x – 14 4 x – 14 2(2 x – 7)
Question 4 - 40 Each of the two congruent sides of an isosceles triangle is 2 n + 7 and the third side is 3 n. Draw and label the triangle. Then write two equivalent expressions for its perimeter.
Answer 4 – 40 (2 n + 7) + 3 n 7 n + 14 7(n + 2)
Question 4 - 50
Answer 4 – 50 A, C, E
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