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Laabri

Formal Formative: System of Equations

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Last updated over 3 years ago
6 Nsɛmmisa
2
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Solve for x and y using either substitution method or elimination method:

2x + 5y = 24 and 4x + 3y = 20

2
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Solve for r and s using either substitution method or elimination method:

5r = 23 - 3s and 4s = 12 - 2r

3
3
5
10
Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Solve for x and y using either substitution method or elimination method:

4x - 0.5y = 12.5 and 3x = 8.2 - 0.8y

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Marcos had 32 coins in nickels and quarters. He had 8 more quarters than nickels. He

wrote a system of equations to represent this situation, letting x represent the number of

nickels and y represent the number of quarters. Then he solved the system by graphing.

What is the solution?

  • Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
  • Paw graph type a ɛfata.
  • Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
  • Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.
Linear a ɛyɛ linearexpand_more
Asemmisa {{asɛmmisaAhyɛnsode}}
5.

You purchase a math textbook (because why not?) and a novel that cost a total of

$75, not including tax. If the price of the math textbook, m, is $15 more than 3 times the price of the novel, n,

1. Which system of linear equations could be used to determine the price of each book?

2. What is the cost of each book?

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

The perimeter of a rectangular marble slab is 100 cm. The slab's length, l, is 10 cm less

than 5 times its width, w.

1. Which system of linear equations can be used to determine the

dimensions, in cm, of the marble deck?

2. What method do you prefer to use?

3. What would the area of the slab be?

4. If a room of area 4000 squared cm needs to be covered in tiles and each tile costs $15, what is the total cost of tiling?