Linear Mix

If f(d) represents the amount of money Sonya puts into the jar on day d. Today is d(0). Select the statement that is true.

• f(d+1)=f(d)

• f(d+1)=f(d)-4

• f(d+1)=f(d)-2

• f(d+1)=4*f(d)

Answer explanation

a(n)= current output

a(n-1)= previous output

a(n+1)= next output

d=common difference

a(n+1)=a(n)+d

or

a(n)=a(n-1)+d

Nancy went to the grocery story.  She bought 4 apples on Monday and 3 apples on Wednesday. She also bought 6 bananas on Monday and 7 bananas on Wednesday. She spent a total of $13 on Monday and $0.50 more on Wednesday. Which system of equations represents the situation?

• 4x + 2y = 13

  6x +7y = 0.5

• x + y = 7

  x - y = -1

• 4x + 6y = 13
  3x + 7y = 13.5

• 4x - 6y = 13
  3x - 7y = 13.5

Nancy went to the grocery story.  She bought 5 apples on Monday and 8 apples on Wednesday. She also bought 6 bananas on Monday and 2 bananas on Wednesday. She spent a total of $13 on Monday and $1.50 more on Wednesday. Which system of equations represents the situation?

• 5x + 8y = 13

  6x +2y = 1.5

• x + y = 5

  x - y = 6

• 5x + 6y = 13

  8x +2y = 14.5

• 5x - 6y = 13

  8x - 2y = 14.5

What is Mrs. Gordon's rate from 0 to 2 seconds?

• 2.5 feet per second

• 0.4 feet per second

• 5 feet per second

• 0.2 feet per second

Answer explanation

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

• y = 6.80 + .65x
  y=7.30+.90x

• x + y = 6.80
  x + y = 7.30

• y = 6.80+.90x
  y = 7.30 + .65x

• y + .90x = 6.80
  y + .65x = 7.30

Answer explanation

Greg and Zeke are reading over the weekend. Greg can read 3 pages a minute and has already read 5 pages. Zeke can read 2 pages per minute and has already read 10 pages. After a while they read the same number of pages. How long does that take? READ THE GRAPH AND PICK THE ANSWER.

• After 20 minutes, they have both read 5 pages.

• After 20 minutes, they have read 4 pages each.

• After 4 minutes, they have both read 10 pages.

• After 5 minutes, they have both read 20 pages.

Answer explanation

What is Mrs. Gordon's rate from 9 to 15 seconds?

• 0 feet per second

• 1.5 feet per second

• 5 feet per second

• .67 feet per second

Answer explanation

5(2x - 7) = 80

• x = 11.5

• x = 115

• x = 12

• x = 16

Solve:
7x + 19 = -2x + 55

• 4

• 14.8

• 8.2

• -4