Question bank: System of Equations

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Question 1:

Medium

System of Equations

Question 2:

Medium

What is the representation of a system of first-degree equations with two unknowns in the Cartesian plane?

System of Equations

Question 3:

Medium

System of Equations

Basic Calculus

Question 4:

Medium

At a charity event at their school, the students decided to sell t-shirts and caps to raise funds. The price of each t-shirt is R$10.00 and the price of each cap is R$7.00. Two buying lines were formed, with the first line raising a total of R$112.00 with 15 items sold and the second line raising a total of R$87.00 with 10 items sold. a) Considering the t-shirt values as 'c' and the cap values as 'b', write two 1st degree equations with two unknowns that represent the situation. b) Solve the system of equations using the method of your choice and find the quantity of t-shirts and caps sold in each line. c) Make a graphical representation of the system of equations using the Cartesian plane and identify the intersection point of the lines.

System of Equations

Question 5:

Medium

João and Maria are saving money to buy a gift for their mother. They decide to save part of their weekly allowances to reach the necessary amount. João saves R$ x per week and Maria saves R$ y per week. At the end of three weeks, João saved R$ 60 and Maria saved R$ 45 after two weeks. Set up the system of equations that represents this situation and find the values of x and y.

System of Equations

IARA TIP

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