Systems of Equations Word Problems Substitution

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Tags

CCSS.8.EE.C.8C

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
  14.80y + 17x = 91

• x + y = 91
  14.80x+ 17y = 6

Tags

CCSS.8.EE.C.8C

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

• 4x - 6y = 13
  3x - 7y = 13.5

Tags

CCSS.8.EE.C.8C

A boy has seven more nickels than quarters. The total value of the coins is $4.90. Which system could be used to find out how many nickels and quarters he has?

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Tags

CCSS.8.EE.C.8C

Solve by substitution method

y = 4x + 30

y = -x + 45

• (9, 37)

• (3, 42)

• (37, 9)

• (42, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the following system:

^{y = 5x}

^{3x + y = 24}

• ^{(15, 3)}

• ^{(3, 5)}

• ^{(3, 15)}

• ^{(5, 3)}

Tags

CCSS.HSA.REI.C.7

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• D

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Define the variables, set up a system of equations and solve using the substitution method.

• 4 cm by 13 cm

• 6 cm by 11 cm

• 9 cm by 5 cm

• 8 cm by 7 cm

Solve using Substitution Method

y = -6

-3x - 6y = 24

• (6, 6)

• (6, -6)

• (4, -6)

• (-6, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and y (Use Substitution)

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

• (1,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6