EOC Review Topics - Systems of Equations - Susan Davis | Library

Instructions

Some problems require ALL work to be shown on paper (NO DESMOS).  If it is not stated, you may use Desmos as long as you have put all equations on your paper along with the answer.

1

Show ALL work on paper!

Where would the graphs of the two equations below intersect?
y=4x-3 and 3x-2y = -9

1

At a local bakery, 3 pastries and 5 doughnuts cost $6.75. At the same bakery, 4 pastries and one doughnut cost $4.75. How much would 2 pastries and 2 doughnuts cost?

1

Find the x-coordinate in the solution:
2x-y=4
3x-5y=8

1

Show ALL work on paper!

Micah has 4 more pencils than he has erasers. If he has a total of 42 pencils and erasers, how many erasers does he have?

1

Show ALL work on paper!

The perimeter of a rectangle is 31 inches, and the width is 10 inches less than twice the length. What is the width of the rectangle?

1

Adult tickets to a theme park cost $19 and children tickets cost $15. One cashier collected $632 from 40 park attendants. How many adult attendants paid the cashier?

1

Blakely has a total of 30 coins in her purse.
The coins are either nickels or dimes.
The total value of the coins is $2.65.
Write a system that can be sued to determine the number of nickels, n , and dimes, d, that Blakely has in her purse.
_______ _______ 

1

Show ALL work on paper!

What is the value of y in the system of equations shown below?
4x+5y=1
y=3-x

1

Show all work on paper to justify your answers.

x+2y=10
x+2y=12
x+y=12
3x+4y=36
x+y=8
3x+3y=24

One Solution
No Solution
Infinitely Many Solutions

1

Show ALL work on paper!

Find the sum of x and y in the solution to the system:
y=2x-5
y=3x+7

1

Show ALL work on paper!

Find the product of x and y in the solution of
2x-y=6
y=5x-3

1

Solve the system:
x=6
y=4

1

Select each point that is part of the solution to the system:

y>-4

1

What scenario could be modeled by the graph below?

1

The math club sells candy bars and drinks during football games.
● 60 candy bars and 110 drinks will sell for $265
● 120 candy bars and 90 drinks will sell for $270
How much does each candy bar sell for?

1

A restaurant serves a vegetarian and a chicken lunch special each day. Each vegetarian special is the same price. Each chicken special is the same price. However, the price of the vegetarian special is different from the price of the chicken special. 
● On Thursday, the restaurant collected $467 selling 21 vegetarian specials and 40 chicken specials. 
● On Friday, the restaurant collected $484 selling 28 vegetarian specials and 36 chicken specials. 
What is the cost of the vegetarian special? _______ 
What is the cost of the chicken special?_______ 

1

José had 4 times as many trading cards as Philippe. After José gave away 50 cards to his little brother and Philippe gave 5 cards to his friend for his birthday, they each had an equal number of cards. Write a system to describe the situation and solve.
Jose has _______  trading cards.
Philippe has _______  trading cards.

1

Show ALL work on paper!

Given that the sum of two numbers is 10 and their difference is 4, what are the numbers?
Write your answer with a comma between them.

1

Four students were assigned to write an equivalent system of equations. Determine which of the following students created a system that is equivalent to

1

The only coins that Alexis has are dimes and quarters.
● Her coins have a total value of $5.80.
● She has a total of 40 coins.
Write a system of equations and find the number of dimes Alexis has.

EOC Review Topics - Systems of Equations

EOC Review Topics - Systems of Equations

Some problems require ALL work to be shown on paper (NO DESMOS). If it is not stated, you may use Desmos as long as you have put all equations on your paper along with the answer.

Some problems require ALL work to be shown on paper (NO DESMOS). If it is not stated, you may use Desmos as long as you have put all equations on your paper along with the answer.

Show ALL work on paper!Where would the graphs of the two equations below intersect?y=4x-3 and 3x-2y = -9

At a local bakery, 3 pastries and 5 doughnuts cost $6.75. At the same bakery, 4 pastries and one doughnut cost $4.75. How much would 2 pastries and 2 doughnuts cost?

Find the x-coordinate in the solution:2x-y=43x-5y=8

Show ALL work on paper!Micah has 4 more pencils than he has erasers. If he has a total of 42 pencils and erasers, how many erasers does he have?

Show ALL work on paper!The perimeter of a rectangle is 31 inches, and the width is 10 inches less than twice the length. What is the width of the rectangle?

Adult tickets to a theme park cost $19 and children tickets cost $15. One cashier collected $632 from 40 park attendants. How many adult attendants paid the cashier?

Show ALL work on paper!What is the value of y in the system of equations shown below?4x+5y=1y=3-x

Show all work on paper to justify your answers.

Show ALL work on paper!Find the sum of x and y in the solution to the system:y=2x-5y=3x+7

Show ALL work on paper!Find the product of x and y in the solution of2x-y=6y=5x-3

Solve the system:x=6y=4

Select each point that is part of the solution to the system:y>-4

What scenario could be modeled by the graph below?

The math club sells candy bars and drinks during football games. ● 60 candy bars and 110 drinks will sell for $265 ● 120 candy bars and 90 drinks will sell for $270How much does each candy bar sell for?

Show ALL work on paper!Given that the sum of two numbers is 10 and their difference is 4, what are the numbers?Write your answer with a comma between them.

Four students were assigned to write an equivalent system of equations. Determine which of the following students created a system that is equivalent to

The only coins that Alexis has are dimes and quarters. ● Her coins have a total value of $5.80. ● She has a total of 40 coins. Write a system of equations and find the number of dimes Alexis has.

Some problems require ALL work to be shown on paper (NO DESMOS). If it is not stated, you may use Desmos as long as you have put all equations on your paper along with the answer.

Some problems require ALL work to be shown on paper (NO DESMOS). If it is not stated, you may use Desmos as long as you have put all equations on your paper along with the answer.

Show ALL work on paper!Where would the graphs of the two equations below intersect?y=4x-3 and 3x-2y = -9

At a local bakery, 3 pastries and 5 doughnuts cost $6.75. At the same bakery, 4 pastries and one doughnut cost $4.75. How much would 2 pastries and 2 doughnuts cost?

Find the x-coordinate in the solution:2x-y=43x-5y=8

Show ALL work on paper!Micah has 4 more pencils than he has erasers. If he has a total of 42 pencils and erasers, how many erasers does he have?

Show ALL work on paper!The perimeter of a rectangle is 31 inches, and the width is 10 inches less than twice the length. What is the width of the rectangle?

Adult tickets to a theme park cost $19 and children tickets cost $15. One cashier collected $632 from 40 park attendants. How many adult attendants paid the cashier?

Show ALL work on paper!What is the value of y in the system of equations shown below?4x+5y=1y=3-x

Show all work on paper to justify your answers.

Show ALL work on paper!Find the sum of x and y in the solution to the system:y=2x-5y=3x+7

Show ALL work on paper!Find the product of x and y in the solution of2x-y=6y=5x-3

Solve the system:x=6y=4

Select each point that is part of the solution to the system:y>-4

What scenario could be modeled by the graph below?

The math club sells candy bars and drinks during football games. ● 60 candy bars and 110 drinks will sell for $265 ● 120 candy bars and 90 drinks will sell for $270How much does each candy bar sell for?

Show ALL work on paper!Given that the sum of two numbers is 10 and their difference is 4, what are the numbers?Write your answer with a comma between them.

Four students were assigned to write an equivalent system of equations. Determine which of the following students created a system that is equivalent to

The only coins that Alexis has are dimes and quarters. ● Her coins have a total value of $5.80. ● She has a total of 40 coins. Write a system of equations and find the number of dimes Alexis has.

Show ALL work on paper!

Where would the graphs of the two equations below intersect?
y=4x-3 and 3x-2y = -9

Find the x-coordinate in the solution:
2x-y=4
3x-5y=8

Show ALL work on paper!

Micah has 4 more pencils than he has erasers. If he has a total of 42 pencils and erasers, how many erasers does he have?

Show ALL work on paper!

The perimeter of a rectangle is 31 inches, and the width is 10 inches less than twice the length. What is the width of the rectangle?

Show ALL work on paper!

What is the value of y in the system of equations shown below?
4x+5y=1
y=3-x

Show ALL work on paper!

Find the sum of x and y in the solution to the system:
y=2x-5
y=3x+7

Show ALL work on paper!

Find the product of x and y in the solution of
2x-y=6
y=5x-3

Solve the system:
x=6
y=4

Select each point that is part of the solution to the system:

y>-4

The math club sells candy bars and drinks during football games.
● 60 candy bars and 110 drinks will sell for $265
● 120 candy bars and 90 drinks will sell for $270
How much does each candy bar sell for?

Show ALL work on paper!

Given that the sum of two numbers is 10 and their difference is 4, what are the numbers?
Write your answer with a comma between them.

The only coins that Alexis has are dimes and quarters.
● Her coins have a total value of $5.80.
● She has a total of 40 coins.
Write a system of equations and find the number of dimes Alexis has.

Show ALL work on paper!

Where would the graphs of the two equations below intersect?
y=4x-3 and 3x-2y = -9

Find the x-coordinate in the solution:
2x-y=4
3x-5y=8

Show ALL work on paper!

Micah has 4 more pencils than he has erasers. If he has a total of 42 pencils and erasers, how many erasers does he have?

Show ALL work on paper!

The perimeter of a rectangle is 31 inches, and the width is 10 inches less than twice the length. What is the width of the rectangle?

Show ALL work on paper!

What is the value of y in the system of equations shown below?
4x+5y=1
y=3-x

Show ALL work on paper!

Find the sum of x and y in the solution to the system:
y=2x-5
y=3x+7

Show ALL work on paper!

Find the product of x and y in the solution of
2x-y=6
y=5x-3

Solve the system:
x=6
y=4

Select each point that is part of the solution to the system:

y>-4

The math club sells candy bars and drinks during football games.
● 60 candy bars and 110 drinks will sell for $265
● 120 candy bars and 90 drinks will sell for $270
How much does each candy bar sell for?

Show ALL work on paper!

Given that the sum of two numbers is 10 and their difference is 4, what are the numbers?
Write your answer with a comma between them.

The only coins that Alexis has are dimes and quarters.
● Her coins have a total value of $5.80.
● She has a total of 40 coins.
Write a system of equations and find the number of dimes Alexis has.