Setting Up Substitution Problems

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

• 4x + 6y = 3

  13.5x - 13y = 6

• x + y = 4

  x - y = 6

• 4x + 6y = 13

  3x + 7y = 13.5

• y = 10x + 13

  y = 10x + 13.50

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? 

• x + y = 6
  14.80x + 17y = 91

• x + y = 91
  14.80x + 17y = 6

• x + y = 6
  91y + 17x = 14.80

• x + y = 91
  14.80x+ 17y = 6

Find the values of x and y that satisfy each system. Check your solution by substituting the values that you found for x and y back into the original problems. Enter your answer as: (x,y).

y=2x+4 and y=12

• (4,12)

• (12,4)

• (2,4)

• (2,12)

Find the values of x and y that satisfy each system. Check your solution by substituting the values that you found for x and y back into the original problems. Enter your answer as: (x,y).

• (8,5)

• (5,8)

• (4,12)

• (3,4)

Find the solution (x,y) by setting up and solving a system of equations using elimination or substitution.

• (2,7)

• (5,3)

• (-6,6)

• (7,2)

Find the solution (x,y) by setting up and solving a system of equations using elimination or substitution.

• (4,-4)

• (-2,1)

• (1,-2)

• (-4,4)

You have $28 to spend on Tech-decks and Takis. Tech-decks cost $7 each and jumbo bags of Takis cost $4 each. Let x = # of Tech-decks Ley y = # of bags of jumbo Takis What equation should you use for this word problem?

• 28x+7y=4

• 4x+7y=28

• 7x+4y=28

• 4x+28y=7

You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $1 each and hats for Among Us cost $2 each.

Let x = # of Uber Eats credits

Ley y = # of hats for Among Us

What equation should you use for this word problem?

• y+18x=2

• x+2y=18

• 2x+y=18

• 18x+y=2

In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. You've earned 250 total points.

Which equation would represent the total amount of points earned, if x represents jewels and y represents stars?

• 5x+2y=250

• 5x-2y=250

• 2x+5y=250

• 250x+5y=2

Hats are $10 each and gloves are $5 each. A customer spends a total of $30.

If "x" is the hats and "y" is the gloves, which equation models this?

• 10x + 5y = 30

• 5x + 10y = 30