4.10 Portfolio Lesson

Translate the following into an algebraic equation: "Triple a number plus 2 is 8"

• 3x · 2 = 8

• 3x + 2 = 8

• x³ + 2 = 8

• 3x + 2 + 8

Which of the following words means addition?

• Product

• Sum

• Quotient

• Difference

Translate the following into an algebraic equation and solve. "Five less than the product of -3 and a number is 7"

• -3x - 5 = 7

  x = -4

• -3 + x - 5 = 7

  x = 15

• -3x - 5 = 7

  x = -2/3

• -3x

  x = 7

Translate the following into an equation and solve: "The sum of half a number and five is negative three."

• 1/2x + 5 = -3

  x = -16

• 1/2x + 5 = -3

  x = 4

• 5x/2 = -3

  x = -6/5

• 1/2x - 5 = -3

  x = -4

How many solutions would this equation have? 2x + 3 = 2x - 5

• One Solution

• No Solutions

• Infinite Solutions

• Two Solutions

How many solutions would this equation have? 3x - 4 = 5

• One Solution

• No Solutions

• Infinite Solutions

• Two Solutions

How many solutions would this equation have? 4x - 2 = 2(2x - 1)

• One Solution

• No Solutions

• Infinite Solutions

• Two Solutions

Write an expression to represent the following: When visiting the pumpkin farm, you must pay $7 for the hayride to get to the pumpkin patch, plus an additional $1.25 per pound for the pumpkin you choose. Let 'p' represent the pounds your pumpkin weighs.

• 1.25p + 7

• 7p + 1.25

• 8.25p

(This is the same scenario from the question before) When visiting the pumpkin farm, you must pay $7 for the hayride to get to the pumpkin patch, plus an additional $1.25 per pound for the pumpkin you choose. You have $20 to spend. What is the biggest pumpkin you can afford to purchase?

• 10.4 pounds

• 32 pounds

• 9.5 pounds

• 16 pounds

(This is the same scenario from the question before) When visiting the pumpkin farm, you must pay $7 for the hayride to get to the pumpkin patch, plus an additional $1.25 per pound for the pumpkin you choose. If your friend brought $15, would they be able to afford a 10 pound pumpkin?

• No

• Yes

• Maybe

• Not enough information