Systems of Linear Equations and Inequalities NC Math 1 EOC

Sally grew two pumpkins in her garden. The larger pumpkin weighed 2.3 pounds more than the smaller pumpkin. The combined weight of the two pumpkins was 19.1 pounds. 

Select the equation that represents the sentence, the larger pumpkin weighed 2.3 pounds more than the smaller pumpkin.

Let s represent the smaller pumpkin, and L represent the larger pumpkin.

• s = L + 2.3

• L=2.3s
  

• s=2.3L
  

• L = s +2.3

Sally grew two pumpkins in her garden. The larger pumpkin weighed 2.3 pounds more than the smaller pumpkin. The combined weight of the two pumpkins was 19.1 pounds. 

Write an equation in terms of s and L that represents the sentence, the combined weight of the two pumpkins was 19.1 pounds. 

Let s represent the smaller pumpkin, and L represent the larger pumpkin.

Enter your answer in the box.

Sally grew two pumpkins in her garden. The larger pumpkin weighed 2.3 pounds more than the smaller pumpkin. The combined weight of the two pumpkins was 19.1 pounds. 

What was the weight, in pounds, of the larger pumpkin?

Enter your answer, rounded to the nearest tenth, in the box.

What scenario could be modeled by this graph?

• The number of large birdhouses, y, minus 8/5 times the number of small birdhouses, x, is at most 15.

• • 
    

    The number of large birdhouses, y, minus 5/8 times the number of small birdhouses, x, is at most 15.

• The number of large birdhouses, y, plus 5/8 times the number of small birdhouses, x, is at most 15.

• The number of large birdhouses, y, plus 8/5 times the number of small birdhouses, x, is at most 15.

The concession stand sells hot dogs and chips.

• 50 hot dogs and 30 chips will sell for $79.

• 40 hot dogs and 100 chips will sell for $105.

How much does each hot dog sell for? 

Enter your answer in the box. Express your answer in dollars.cents.

Six times Jill's age plus two times Anna's age equals 60. Anna's age is also three times Jill's age. 

How old is Anna?

Enter y our answer in the box

Meg and Sally began saving money the same week. The table shows the models for the amount of money Meg and Sally had saved after x weeks.

When will Meg and Sally have the same amount of money saved?

• 10 weeks

• 11 weeks

• 12 weeks

• 13 weeks

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• 
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Mary has a total of 30 coins in her purse.

• The coins are either nickels or dimes.

• The total value of the coins is $3.40.

Which system of equations can be used to determine the number of nickels, n, and dimes, d, that Mary has in her purse?

Responses

• 
  

• 0.05n+0.10d=3.40

  30n+30d=3.40
  

• n+d=3.40

  0.05n+0.10d=3.40
  

• • 
    

    n+d=30

  • 0.05n+0.10d=3.40

  
  

• 0.05n+0.10d=30

  n+d=3.40
  

What is the value of x in the system of equations shown below?

10x+7y=15

y=1−2x

Enter your answer in the box.