Category 3 (A.2I and A.5C)

An Algebra book has a total of 1382 pages which is broken into two parts. The second part of the book has 64 more pages than the first part. Write a system of equations to find the number of pages for each part of the book. Let  x =  number of pages of the first part of the book and y = number of pages of the second part of the book

• x + y =1382
  y = 64x
• x + y =1382
  y = 64 + x
• x + y =1382
  y = x - 64
• x + y =1382
  y = -64x

Tags

CCSS.8.EE.C.8C

The sum of two numbers is 14. The larger number is 2 less than three times the smaller number. Write a system of equation to find these numbers.  Let x = smaller number and
y = larger number.

• x + y =14
  y = 3x - 2
• x + y = 2
  3x - 2y =14
• x + y =14
  y = 2 - 3x
• x + y =14
  y = 3x + 2

Tags

CCSS.HSA.CED.A.3

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  Which system of equations could be used to find the exact number of dimes and nickels? 

• d + n = 6.60
  .10d + .05n = 80
• d + n = 80
  d + n = 6.60
• d + n = 80
  .10d + .05n = 6.60
• d + n = 80
  .05d + .10n = 6.60

Tags

CCSS.8.EE.C.8C

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Which equations could be used to determine the cost of the coffee? 

• 10c + 5d = 14.25
  5c + 10d = 16.50
• 10c + 5d = 16.50
  5c + 10d = 14.25
• c + d = 10
  5c + 10d = 16.50
• c + d = 5
  5c + 10d = 16.50

Tags

CCSS.8.EE.C.8C

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

Tags

CCSS.8.EE.C.8B

Solve for x and y
5x + 3y = 7
y = 4

• (4,1)
• (4,-1)
• (1,4)
• (-1,4)

Tags

CCSS.HSA.REI.C.9

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2x - y = 0

4x - y = 0

• (1,2)

• (0,0)

• No Solutions

• Infinite Solutions

Tags

CCSS.8.EE.C.8B

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A