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Algebra I Remediation. Presenter: Carla Kirkland. Number sense and operations. Objective 1 b. Use matrices to solve mathematical situations and contextual problems. (DOK 2). What is a matrix? How to solve word problems
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Algebra I Remediation Presenter: Carla Kirkland
Number sense and operations
Objective1b Use matrices to solve mathematical situations and contextual problems. (DOK 2)
What is a matrix? • How to solve word problems • How to: Add matrices, Subtract matrices, Perform Scalar Multiplication Understand the Following:
What is a Matrix? • MATRIX: A rectangular arrangement of numbers in rows and columns. • The ORDER of a matrix is the number of the rows and columns. • The ENTRIES are the numbers in the matrix. • The order of this matrix is a 2 × 3. columns rows
Multiplying a Matrix by a Scalar In matrix algebra, a real number is often called a SCALAR. To multiply a matrix by a scalar, you multiply each entry in the matrix by that scalar.
= = =
3. The matrices below show the different numbers of students who participated in three of the sports at two high schools. Which of the following correctly represents the sum of the numbers of students who participated in the three sports at these two high schools? MSATP Alg I, Test 1, 1b
15. Matrix B is the result when matrix A is multiplied by a scalar. MSATP Alg I, Test 1, 1b
43. What values of x, y, z, and w make this matrix equation true? MSATP Alg I, Test 1, 1b
6. Matrices A and B are shown below. MSATP, Alg I, Test 2, 1b
36. Andrew plans to buy 3 T-shirts and 3 sweaters. The price in dollars, including tax, of each T-shirt and sweater is shown in matrix C. The store is offering a 15% discount on all the items. Andrew determined the sale price of each item as shown in the matrix below. Which operation justifies the sale price of each item he plans to buy? MSATP, Alg I, Test 2,1b
24 Matrix R is shown below. Which matrix represents -6R? MSATP Alg I, Test 3, 1B