Quiz 2.2 - Creating and Solving Systems

Last updated about 4 years ago

14 questions

Note from the author:

Instructions

1

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Quiz 2.2 - Creating and Solving Systems

Last updated about 4 years ago

14 questions

Note from the author:

After you submit, check which ones you missed.  Write down your corrections, come show them to me, and I will open your quiz back up for you to fix things.

Instructions

After you submit, check which ones you missed.  Write down your corrections, come show them to me, and I will open your quiz back up for you to fix things.

1

Solve the system of equations.

x + 3y = 5
x - 6y = 8

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

1

Solve the system of equations.

y= 2x + 5
y=3x + 6

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

1

Solve the system of equations.

3x + 5y = 27
2x - y = 5

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

1

Solve the system of equations.

y = \frac{1}{2}x + 7
y=14-\frac{2}{3}x

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

1

Solve the system of equations.

y = 2x+7
x + 6y = 3

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

1

Solve the system of equations.

y=1-\frac{2}{3}x
2x-y=7

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

1

Kara bought a 15.4 lb turkey and 11.6 lb ham for Thanksgiving and paid $38.51.  Jane bought a 10.2 lb turkey and a 7.3 lb ham and paid $24.84.

For these problems, let x be the cost of turkey per pound, and y be the cost of ham per pound.

1

Owen has a collection of nickels and quarters worth $8.10.  If the nickels were quarters and the quarters were nickels, the collection would be worth $17.70.  

For these problems, let x be the number of nickels, and y be the number of quarters.

1

Dwight invested $12000 total in stocks and bonds.  The stocks earned 4.8% annual interest, and the bonds earned 7% annual interest.  Together, the total interest earned for one year was $763.  

For these problems, let x be the money invested in stocks, and y be the money invested in bonds.

Remember:  I=PRT
I = interest earned
P = principal investment
R = interest rate, converted from % to decimal
T = time (# of years for annual)

Also remember, to convert a % to a decimal, divide the % by 100.

1

After you submit, check which ones you missed.  Write down your corrections, come show them to me, and I will open your quiz back up for you to fix things.

After you submit, check which ones you missed.  Write down your corrections, come show them to me, and I will open your quiz back up for you to fix things.

Solve the system of equations.

x + 3y = 5
x - 6y = 8

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

y= 2x + 5
y=3x + 6

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

3x + 5y = 27
2x - y = 5

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

y = \frac{1}{2}x + 7
y=14-\frac{2}{3}x

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

y = 2x+7
x + 6y = 3

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

y=1-\frac{2}{3}x
2x-y=7

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Which of the following represent solutions to the following system of inequalities? Select all that apply (3).

x + 2y < 4
y < 3x - 5

Which of the following represent solutions to the following system of inequalities? Select all that apply (3).

x + 2y < 4
y < 3x - 9

Kara bought a 15.4 lb turkey and 11.6 lb ham for Thanksgiving and paid $38.51.  Jane bought a 10.2 lb turkey and a 7.3 lb ham and paid $24.84.

For these problems, let x be the cost of turkey per pound, and y be the cost of ham per pound.

1

Write an equation to represent Kara's shopping.

Write the equation in standard form (Ax+By=C), with no spaces or "$".

1

What is the cost of ham per pound?

You will need to write another equation, then find the intersection.

Enter your answer as a number to 2 decimal places, no spaces or "$".

Owen has a collection of nickels and quarters worth $8.10.  If the nickels were quarters and the quarters were nickels, the collection would be worth $17.70.  

For these problems, let x be the number of nickels, and y be the number of quarters.

1

Write an equation to represent the first sentence. Use decimals for the value of each coin.

Write the equation in standard form (Ax+By=C), with no spaces or "$".

1

What is the number of nickels in Owen's collection?

You will need to write another equation, then find the intersection.

Dwight invested $12000 total in stocks and bonds.  The stocks earned 4.8% annual interest, and the bonds earned 7% annual interest.  Together, the total interest earned for one year was $763.  

For these problems, let x be the money invested in stocks, and y be the money invested in bonds.

Remember:  I=PRT
I = interest earned
P = principal investment
R = interest rate, converted from % to decimal
T = time (# of years for annual)

Also remember, to convert a % to a decimal, divide the % by 100.

1

Write an equation representing the total interest earned.

Write the equation in standard form (Ax+By=C), with no spaces, commas or "$".

1

How much did Dwight invest in stocks?

You will need to write another equation, then find the intersection.

Give your answer as a number, no commas, "$" or spaces.

Which of the following represent solutions to the following system of inequalities?  Select all that apply (3).

x + 2y < 4
y < 3x - 5

(4, 0)

(5, -5)

(-5, 0)

(2, 1)

(0, -5)

(3, 0)

Which of the following represent solutions to the following system of inequalities?  Select all that apply (3).

x + 2y < 4
y < 3x - 9

(0, -10)

(6, -7)

(-5, -6)

(5, -1)

(-2, -6)

(0, -6)

Write an equation to represent Kara's shopping.

Write the equation in standard form (Ax+By=C), with no spaces or "$".

What is the cost of ham per pound?

You will need to write another equation, then find the intersection.

Enter your answer as a number to 2 decimal places, no spaces or "$".

Write an equation to represent the first sentence. Use decimals for the value of each coin.

Write the equation in standard form (Ax+By=C), with no spaces or "$".

What is the number of nickels in Owen's collection?

You will need to write another equation, then find the intersection.

Write an equation representing the total interest earned.

Write the equation in standard form (Ax+By=C), with no spaces, commas or "$".

How much did Dwight invest in stocks?

You will need to write another equation, then find the intersection.

Give your answer as a number, no commas, "$" or spaces.

Quiz 2.2 - Creating and Solving Systems

Quiz 2.2 - Creating and Solving Systems

Solve the system of equations. x + 3y = 5x - 6y = 8Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations. y= 2x + 5y=3x + 6Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations. 3x + 5y = 272x - y = 5Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations. y = \frac{1}{2}x + 7y=14-\frac{2}{3}xEnter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations. y = 2x+7x + 6y = 3Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations. y=1-\frac{2}{3}x2x-y=7Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations. x + 3y = 5x - 6y = 8Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations. y= 2x + 5y=3x + 6Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations. 3x + 5y = 272x - y = 5Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations. y = \frac{1}{2}x + 7y=14-\frac{2}{3}xEnter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations. y = 2x+7x + 6y = 3Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations. y=1-\frac{2}{3}x2x-y=7Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Which of the following represent solutions to the following system of inequalities? Select all that apply (3).x + 2y < 4y < 3x - 5

Which of the following represent solutions to the following system of inequalities? Select all that apply (3).x + 2y < 4y < 3x - 9

Write an equation to represent Kara's shopping. Write the equation in standard form (Ax+By=C), with no spaces or "$".

What is the cost of ham per pound?You will need to write another equation, then find the intersection.Enter your answer as a number to 2 decimal places, no spaces or "$".

Write an equation to represent the first sentence. Use decimals for the value of each coin.Write the equation in standard form (Ax+By=C), with no spaces or "$".

What is the number of nickels in Owen's collection?You will need to write another equation, then find the intersection.

Write an equation representing the total interest earned. Write the equation in standard form (Ax+By=C), with no spaces, commas or "$".

How much did Dwight invest in stocks? You will need to write another equation, then find the intersection.Give your answer as a number, no commas, "$" or spaces.

Write an equation to represent Kara's shopping. Write the equation in standard form (Ax+By=C), with no spaces or "$".

What is the cost of ham per pound?You will need to write another equation, then find the intersection.Enter your answer as a number to 2 decimal places, no spaces or "$".

Write an equation to represent the first sentence. Use decimals for the value of each coin.Write the equation in standard form (Ax+By=C), with no spaces or "$".

What is the number of nickels in Owen's collection?You will need to write another equation, then find the intersection.

Write an equation representing the total interest earned. Write the equation in standard form (Ax+By=C), with no spaces, commas or "$".

How much did Dwight invest in stocks? You will need to write another equation, then find the intersection.Give your answer as a number, no commas, "$" or spaces.

Solve the system of equations.

x + 3y = 5
x - 6y = 8

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

y= 2x + 5
y=3x + 6

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

3x + 5y = 27
2x - y = 5

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

y = \frac{1}{2}x + 7
y=14-\frac{2}{3}x

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

y = 2x+7
x + 6y = 3

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

y=1-\frac{2}{3}x
2x-y=7

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

x + 3y = 5
x - 6y = 8

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

y= 2x + 5
y=3x + 6

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

3x + 5y = 27
2x - y = 5

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

y = \frac{1}{2}x + 7
y=14-\frac{2}{3}x

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

y = 2x+7
x + 6y = 3

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Solve the system of equations.

y=1-\frac{2}{3}x
2x-y=7

Enter your answer as an ordered pair, (x, y), with exactly one space after the comma, no others. Use fractions rather than decimals.

Which of the following represent solutions to the following system of inequalities? Select all that apply (3).

x + 2y < 4
y < 3x - 5

Which of the following represent solutions to the following system of inequalities? Select all that apply (3).

x + 2y < 4
y < 3x - 9

Write an equation to represent Kara's shopping.

Write the equation in standard form (Ax+By=C), with no spaces or "$".

What is the cost of ham per pound?

You will need to write another equation, then find the intersection.

Enter your answer as a number to 2 decimal places, no spaces or "$".

Write an equation to represent the first sentence. Use decimals for the value of each coin.

Write the equation in standard form (Ax+By=C), with no spaces or "$".

What is the number of nickels in Owen's collection?

You will need to write another equation, then find the intersection.

Write an equation representing the total interest earned.

Write the equation in standard form (Ax+By=C), with no spaces, commas or "$".

How much did Dwight invest in stocks?

You will need to write another equation, then find the intersection.

Give your answer as a number, no commas, "$" or spaces.

Write an equation to represent Kara's shopping.

Write the equation in standard form (Ax+By=C), with no spaces or "$".

What is the cost of ham per pound?

You will need to write another equation, then find the intersection.

Enter your answer as a number to 2 decimal places, no spaces or "$".

Write an equation to represent the first sentence. Use decimals for the value of each coin.

Write the equation in standard form (Ax+By=C), with no spaces or "$".

What is the number of nickels in Owen's collection?

You will need to write another equation, then find the intersection.

Write an equation representing the total interest earned.

Write the equation in standard form (Ax+By=C), with no spaces, commas or "$".

How much did Dwight invest in stocks?

You will need to write another equation, then find the intersection.

Give your answer as a number, no commas, "$" or spaces.