Expressions Equivalent Creating Expressions Percents Shapes 10 10

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Expressions

Expressions

Equivalent Creating Expressions Percents Shapes 10 10 20 20 30 30 40 40 50

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

Question 1 - 10 Write two expressions equivalent to 4 x + 4 y

Answer 1 – 10 4(x + y) x + x + y + 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

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

Answer 1 – 20 21 x – 28

Question 1 - 30 Use the distributive property to find an expression that is

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)

Answer 1 – 30 3(9 x 2 – 14 x + 12)

Question 1 - 40 Find Jon’s mistake.

Question 1 - 40 Find Jon’s mistake.

Answer 1 – 40 Jon didn’t follow the order of operations. He subtracted 7

Answer 1 – 40 Jon didn’t follow the order of operations. He subtracted 7 and 3 instead of distributing the 3.

Question 1 - 50

Question 1 - 50

Answer 1 – 50

Answer 1 – 50

Question 2 - 10 Micah and three friends bought a total of 4 bags

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)

Answer 2 – 10 4 x + 4 y 4(x + y)

Question 2 - 20 Stephanie wants to buy s tomato plants, and Diego wants

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

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

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

Answer 2 – 30 12 + 4 x 4 x + 12

Question 2 - 40 Jonathan and Trina both earn $12 per hour, but Trina

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

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

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

Answer 2 – 50 2 b + 3

Question 3 - 10 The price of a $198. 00 smart phone is discounted

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

Answer 3 – 10 198. 00 - 198. 00(. 40) = 118. 80

Question 3 - 20 A customer calculated the cost of a new jacket, c,

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

Answer 3 – 20 1. 07 c c +. 07 c

Question 3 - 30 A store manager paid $15 for a computer case and

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

Answer 3 – 30 15(1. 65) 15 + (. 65)15

Question 3 - 40 A camcorder with a price of $300. It is discounted

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) (.

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

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

Answer 3 – 50 99(1. 3) 99 + (. 3)99

Question 4 - 10 Write two expressions to represent the perimeter of the square.

Question 4 - 10 Write two expressions to represent the perimeter of the square.

Answer 4 – 10 4(c – 9) + (c – 9)

Answer 4 – 10 4(c – 9) + (c – 9)

Question 4 - 20

Question 4 - 20

Answer 4 – 20

Answer 4 – 20

Question 4 - 30 The length of a rectangle is x feet. Its width

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

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

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 +

Answer 4 – 40 (2 n + 7) + 3 n 7 n + 14 7(n + 2)

Question 4 - 50

Question 4 - 50

Answer 4 – 50 A, C, E

Answer 4 – 50 A, C, E