Scalar and Matrix Multiplication — Unit test Answers

What are the values of x and y in the matrix equation below?

James bought two shirts and three pairs of pants for $87. Matthew bought two pairs of pants and one shirt for $53. Assuming each pair of pants costs the same amount and each shirt costs the same amount, how much does one pair of pants cost?

Ines created a coefficient matrix to represent the system of linear equations below.Which type of matrix did Ines create?

A store sells almonds for $7 per pound, cashews for $10 per pound, and walnuts for $12 per pound. A customer buys 12 pounds of mixed nuts consisting of almonds, cashews, and walnuts for $118. The customer buys 2 more pounds of walnuts than cashews. The matrix below represents this situation.If the reduced row echelon form of this matrix represents the amount of each type of nut the customer buys, which statement is a possible interpretation of the results?

Matrix P is shown below. Given that Matrix P equals Matrix Q, what is the value of

Given , , and .What is Y if ?

A basketball player scored 33 points during a game by shooting 1-point free throws, 2-point field goals, and 3-point field goals. The player scored 17 times. She scored 3 more 2-point field goals than 1-point free throws. The system of equations below represents the situation, where x is the number of 1-point free throws, y is the number of 2-point field goals, and z is the number of 3-point field goals. x + y + z = 17x + 2y + 3z = 33y – x = 3Which matrix and solution represents the number of 1-point free throws, 2-point field goals, and 3-point field goals the player scored?

What is the area of a triangle with vertices at (–3, 3), (2, 3), and (4, 7)?

Which value of D would make the equation true?

Which equation can be used to solve for y-value of the solution in the system of linear equations below?

The table below shows the number of different types of faucets sold over three months and the total selling price of the items. Number of Faucets Sold and Total Selling Price Kitchen SinkBathroom SinkShowerTotal Selling PriceJanuary1587$2,830February17128$3,450March242521$6,680The company makes a profit of 15% on every faucet sold. What is the profit on one shower faucet?

The matrix below represents a system of equations.Which of the following describes the solution to this system of equations?

A row operation is performed on a matrix as shown below.What is the value of x?

The linear system below represents the sales of large and small popcorn servings at a movie theater for two consecutive days.What is the size of the augmented matrix for this system?

Matrix X is shown below.If matrices X and Y are equal, what is the value of