Solving Systems: Introduction to Linear Combinations — Quiz Answers

Mira picked two numbers from a bowl. The difference of the two numbers was 4 , and the sum of one-half of each number was 18 The system that represents Mira’s numbers is shown. x minus y is equal to 4; 1 half x plus 1 half y is equal to 18 Which two numbers did Mira pick?

What is the solution to this system of linear equations? 2 x plus 3 y is equal to 3; 7 x minus 3 y is equal to 24

Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of 24 point 0 0 dollars Last week they ordered one strawberry smoothie and four protein shakes for a total of 25 point 5 0 dollars The system that represents their purchases is shown. x plus 4 y is equal to 25 point 5 0; 3 x plus 2 y is equal to 24 point 0 0 What is the price of a protein shake?

Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic titles. Let x represent the number of contemporary titles and y represent the number of classic titles. The system of equations models the given information for both types of DVDs. x plus y is equal to 3,500; x minus y is equal to 2,342 Solve the system of equations. How many contemporary titles does Jarred have?

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs 3 point 5 0 dollars , while the 16 oz. box costs 5 point 0 0 dollars At the end of one week, she collected 97 point 5 0 dollars , selling a total of 24 boxes. The system of equations that models her sales is shown. x plus y is equal to 24; 3 point 5 0 x plus 5 point 0 0 y is equal to 97 point 5 0 Solve the system of equations. How many 10 oz. boxes were sold?

What is the solution to this system of linear equations? 2 x plus y is equal to 1; 3 x minus y is equal to negative 6

What is the solution a comma b to this system of linear equations? 3 a plus 6 b is equal to 45; 2 a minus 2 b is equal to negative 12

Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference of the two grades is 16 The sum of one-eighth of the higher grade and one-half of the lower grade is 52 The system that represents his scores is shown. x minus y is equal to 16; 1 eighth x plus 1 half y is equal to 52 What is the higher grade of Jose’s two tests?

What is the solution to this system of linear equations? x minus 3 y is equal to negative 2; x plus 3 y is equal to 16

What is the solution q comma r to this system of linear equations? 12 q plus 3 r is equal to 15; negative 4 q minus 4 r is equal to negative 44