System of Equations WordProblems

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.HSA.REI.C.6

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450
• 3x + 2y = 450
  2x + 4y = 315
• 2x + 2y = 315
  3x + 4y = 450

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

What is the proper way to set up the equation to begin solving?

y = 6x − 11

−2x − 3y = −7

• -2(-11) -3y= -7

• -2(6x-11) -3y = -7

• -2x -3(11) = -7

• -2x - 3(6x-11)= -7

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

Robert is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents this situation?

• x - y = -10 and x + y = -2

• x = -2 and y = -10

• x + y = -10 and x - y = -2

• x + y = -2 and x - y = -10

Ruby won a bag full of money!! She has 49 bills in all. She counts a total of $1430 in the bag. There are twenty dollar bills and fifty dollar bills only. Which system best represents this situation?

• x + y = 1430 and 10x + 39y = 49

• x + y = 49 and 20x + 50y = 1430

• x + y = 49 and 10x + 39y = 1430

• x + y = 1430 and 20x + 50y = 49

Makayla and KaReyniti visited a candy shop. Makayla bought 10 pounds of strawberry taffy and 1 pound of banana taffy for $46. KaReyniti bought 1 pound of strawberry taffy and 1 pound of banana taffy for $10. How much does each type of taffy cost?

• Strawberry cost $10 and Banana cost $36 per pound

• Strawberry cost $3 and Banana cost $7 per pound

• Strawberry cost $7 and Banana cost $3 per pound

• Strawberry cost $4 and Banana cost $6 per pound

Yesterday a chef used 68 eggs to make 8 chocolate souffles and 10 lemon meringue pies. The day before, he made 7 chocolate souffles and 10 lemon meringue pies, which used 62 eggs. How many eggs, does each dessert require? If (x) represents chocolate souffles and (y) represents lemon meringue pies, give the correct system of equations and the solution as an ordered pair.

• 8x + 10y = 68

  7x + 10y = 62

  ( 2, 6 )

• 8x + 10y = 68

  7x + 10y = 62

  ( 6, 2 )

• 7x + 10y = 68

  8x + 10y = 62

  ( 5, 4 )

• 7x + 10y = 68

  8x + 10y = 62

  ( 5, 3 )

Bob bought a total of 20 pounds of grass seed at the nursery for $128. He paid $9 per pound of Kentucky bluegrass (k) and $6 per pound for Tall Fescue (f). Which system of equations can be used to find the amount of each that Bob purchased?

• k + f = 168

  9k + 6f = 20

• k + f = 168

  6k + 9f = 20

• k + f = 20

  9k + 6f = 128

• k + f = 20

  6k + 9f = 128