Solving two equations in two variables, one is of first degree and the other is of second degree

Solving two equations in two variables, one is of first degree and the other is of second degree

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains how to determine the dimensions of a triangular piece of cheese using its perimeter and the Pythagorean theorem. The problem is set up by forming two equations: one linear and one quadratic. By solving these equations, the dimensions of the triangle are found to be 18 and 24 centimeters.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of triangle did Pac-Man learn about?

Equilateral

Isosceles

Right Angle

Scalene

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the length of the hypotenuse of the triangle?

30 centimeters

42 centimeters

72 centimeters

18 centimeters

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What equation did Pac-Man derive from the perimeter of the triangle?

X + y + 30 = 72

X^2 + y^2 = 900

X + y = 30

X^2 + y = 72

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What values did Pac-Man find for X after solving the equations?

18 and 24

30 and 42

24 and 30

18 and 30

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How did Pac-Man find the value of y after determining X?

By substitution

By addition

By multiplication

By division