Unit Test Answers

Using Cramer’s Rule, what is the value of y for the solution to the system of linear equations below?

What is the value of x in the matrix equation below?

Use matrices to determine the coordinates of the vertices of the reflected figure. Then graph the pre-image and the image on the same coordinate grid. with vertices reflected over the y-axis.a.c.b.d.

Use matrices to determine the coordinates of the vertices of the rotated figure. Then graph the pre-image and the image of the same coordinate grid.for with vertices a.c.b.d.

What is the solution to the system of linear equations represented by the matrix equations below?

Using Cramer’s Rule, what are the values of x and y in the solution to the system of linear equations below?

Jim’s family is choosing whether to go to a restaurant for lunch or for dinner. The cost of a salad is $7 at lunch and $9 at dinner. The cost of a steak is $10 at lunch and $12 at dinner. Each person will choose either a salad or a steak regardless of the mealtime. Jim calculates the food bill to be $41 if they go during lunch and $51 if they go during dinner. How many people will choose a salad?

On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the test?

Which value of x makes the two matrices inverses of each other?

Suppose matrix D is the inverse of matrix C. Which of the following is equal to D?

The matrix below represents a system of equations.What is the solution to this system of equations?

Ming drew a triangle. The sum of the angles of the triangle is 180º. In Ming’s triangle, B is twice the measure of A, and angle C is 5º greater than four times A. The system of equations below can be used to find the measure of the three angles, where a represents the measure of A, b represents the measure of B, and c represents the measure of C.a + b + c = 180 2a = b 4a + 5 = cWhich matrix represents the measure of each angle in Ming’s triangle?

Use scalar multiplication to determine the coordinates of the vertices of the dilated figure. Then graph the pre-image and the image of the same coordinate grid.Quadrilateral ABCD with vertex matrix with scale factor .a.c.b.d.

Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?

The wind was blowing quite strongly when Jenny was baby-sitting. She was outside with the children, and they were throwing their large plastic ball up into the air. The wind blew the ball so that it landed approximately 3 feet east and 4 feet north of where it was thrown into the air.If represents the original location of the ball, write a matrix that represents the location of the translated ball.a.c.b.d.

The tables below show running hours of three printers that produce greeting cards and the total number of greeting cards produced over three weeks. Number of Hours Machine Is Running Printer APrinter BPrinter CWeek 1405045Week 2455035Week 3504050 Total Cards ProducedWeek 17,950Week 27,350Week 38,700Printer B uses $15 in ink every hour. What is the ink cost for each card coming from printer B?

Use scalar multiplication to determine the coordinates of the dilated figure. Then graph the pre-image and the image on the same coordinate grid.Quadrilateral STUV with vertex matrix with scale factor .a.c.b.d.

What is the value of element 1,1 in matrix X?

Which operation properly transforms matrix I to matrix II?

Using Cramer’s Rule, what is the value of x in the solution to the system of equations below?

Matrix C is a transformation of matrix B, and matrix B is a transformation of matrix A, as shown below.Which matrix represents matrix C?

The table below shows the number of times the dishwasher was used in three different houses over three days. Dishwasher Use House AHouse BHouse CFriday122Saturday234Sunday223On Friday, 17.5 total gallons of water were used. On Saturday, 31.5 total gallons were used. On Sunday, 24.75 total gallons were used. What is the difference between the water use per load of the dishwasher that uses the most water and the dishwasher that uses the least water?

Raj encoded a secret phrase using matrix multiplication. Using A = 1, B = 2, C = 3, and so on, he multiplied the clear text code for each letter by the matrix to get a matrix that represents the encoded text. The matrix representing the encoded text is . What is the secret phrase? Determine the location of spaces after you decode the text.

Given , , .What is the value of matrix B if A + B = C?

If C and D are matrices and C is the inverse of D, which of the following is true?