Algebra 2-Flashcard 3.1-3.7

Front

What is the result of subtracting 4 from 3?

Back

-1

Front

What is the result of subtracting 13 from 8?

Back

-5

Front

Solve the system of equations using substitution: -x + y = 5 and -2x + y = 4. What is the ordered pair (x,y)?

Back

(1, 6)

Front

If two matrices A (3x2) and B (2x1) are multiplied, what is the dimension of the product?

Back

(3 x 1)

Front

Solve the system of equations: 7x + 6y = 12 and -10x - 7y = -14. What is the ordered pair (x,y)?

Back

(0, 2)

Front

Evaluate the determinant of the matrix: | 2 3 | | 4 5 |

Back

-8

Front

What is the definition of a matrix?

Back

A rectangular array of numbers arranged in rows and columns.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, which is then substituted into the other equation.

Front

What does it mean for matrices to be compatible for multiplication?

Back

The number of columns in the first matrix must equal the number of rows in the second matrix.

Front

What is the solution to the equation 2x + 3 = 7?

Back

x = 2