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Laabri

EOC Review Topics - Systems of Equations

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Last updated 3 months ago
20 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

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.

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Show ALL work on paper!

Where would the graphs of the two equations below intersect?

y=4x-3 and 3x-2y = -9

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

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?

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Find the x-coordinate in the solution:

2x-y=4

3x-5y=8

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

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?

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

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?

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

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?

Asemmisa {{asɛmmisaAhyɛnsode}}
7.
Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Show ALL work on paper!

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

4x+5y=1

y=3-x

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Show ALL work on paper!

Find the sum of x and y in the solution to the system:

y=2x-5

y=3x+7

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Show ALL work on paper!

Find the product of x and y in the solution of

2x-y=6

y=5x-3

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Solve the system:

x=6

y=4

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

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

y>-4

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

What scenario could be modeled by the graph below?

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

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?

Asemmisa {{asɛmmisaAhyɛnsode}}
16.
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17.
Asemmisa {{asɛmmisaAhyɛnsode}}
18.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

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.