Algebra Assessments

User Generated

Nylffn1997

Mathematics

Unformatted Attachment Preview

Algebra 2 Unit: Systems of Equations and Inequalities Section: Matrices and Determinants Review Worksheet 1) Organize the following data into a matrix: Sue Joe Number of Peak Minutes Used 251 402 Number of Off Peak Minutes Used 337 107 2) Use the following matrices to perform the given operations. ⎡ 1 −7 ⎤ A=⎢ ⎥ ⎣0 4 ⎦ a. A + B b. B – A c. A + C d. 3C e. AB f. BC 2⎤ ⎡6 B=⎢ ⎥ ⎣ −9 −3 ⎦ ⎡3 −2⎤ ⎢ ⎥ C = ⎢0 4 ⎥ ⎢⎣5 11⎥⎦ ⎡ 5 −2 3 ⎤ D=⎢ ⎥ ⎣ 1 −5 0 ⎦ g. AD h. Find the determinant of A. Does this matrix have an inverse? i. Find the determinant of B. Does this matrix have an inverse? Algebra Writing Assignment: Matrices Each problem is worth 5 points Answer each of the following problems. Show all your work. ⎡2 3⎤ ⎡− 1 7 ⎤ 1) Evaluate ⎢ ⎥+⎢ ⎥. ⎣5 1⎦ ⎣ 9 8 ⎦ ⎡6 10 ⎤ ⎡ 1 ⎥ ⎢ ⎢ 2 0⎥ ⎢ 5 2) Evaluate ⎢ − ⎢0 5 ⎥ ⎢ 1 ⎥ ⎢ ⎢ ⎣ 1 7 ⎦ ⎣− 10 9⎤ ⎥ 9⎥ . 3⎥ ⎥ 0⎦ ⎡2 4 ⎤ ⎡ 1⎤ 3) Evaluate ⎢ ⎥+⎢ ⎥. ⎣ 1 − 6⎦ ⎣0⎦ 4) Evaluate 5[1 9 2 − 6] . ⎡6 2 ⎤ ⎡ 1 5⎤ 5) Evaluate 2 ⎢ ⎥. ⎥ − 5⎢ ⎣ 1 8⎦ ⎣6 0 ⎦ 6) Is the following operation possible? Why or why not? ⎡ 1 2⎤ ⎡ 1⎤ ⎥⎢ ⎥ ⎢ ⎣3 7 ⎦ ⎣5 ⎦ 7) Is the following operation possible? Why or why not? [5 ⎡2⎤ 6 0]⎢ ⎥ ⎣− 1⎦ ⎡ 1 − 6⎤ ⎡ 1 4⎤ 8) Evaluate ⎢ ⎥. ⎥⎢ ⎣2 0 ⎦ ⎣9 8 ⎦ ⎡ 1⎤ ⎢ ⎥ 9) Evaluate ⎢7⎥[2 − 1 5] . ⎢⎣3⎥⎦ ⎡5 6 ⎤ 10) What is the determinant of ⎢ ⎥? ⎣1 9⎦ Algebra 2 Writing Assignment: Systems of Equations Each problem is worth 5 Points Total Points: 50 Solve each system of equations. Show your work. 1. -2x + 3y = 8 3x – y = -5 2. 4x - y = 8 -8x + 2y = -5 3. 5x + y = 13 3x = 15 – 3y 4. 2x + 4y = 36 10y = 5 5. 2x – 4y = 12 3x – 6y = 21 6. 2x – 9y = 32 4x + y = -12 7. y = 3x + 1 4y = 12x + 4 8. –x + 2y = -4 2x – 3y = 8 9. 2x – 5y = -3 -x + 2y = 3 10. 3x + 4y =8 -2x + 5y = 3
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer


Anonymous
Awesome! Perfect study aid.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags