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Modify Formal Formative: System of Equations

Last updated almost 3 years ago

6 questions

2

Question 1

1.

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

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

2

3

3

5

10

Question 2

2.

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

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

Question 3

3.

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

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

Question 4

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? You can use DESMOS for this question.

Question 5

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?

Question 6

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?