Worksheet

Multiply matrices, simplify matrix expressions and solve A + X = B

Grade 11 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. Row 1: 3, 12; row 2: -6, -15. Kira solves 3X = B for the matrix X. What is the entry in row 1, column 2 of X?

  2. Row 1: 2, -8; row 2: 10, -4. Luz's matrix puzzle says -2X = B. What is the entry in row 2, column 1 of X?

  3. Row 1: -7, -8; row 2: 5, 6. Matrix B: row 1: 3, -2; row 2: 15, 14. Milo needs X, where 2X + A = B. What is the entry in row 2, column 2 of X?

  4. Row 1: 3, -7; row 2: -6, 4. Matrix B: row 1: -12, 8; row 2: 6, 13. For 3X + A = B, what is the entry in row 1, column 1 of X, the matrix Noah wants?

  5. Read this first

    Matrix A

    Row 1: -3, 2; row 2: -2, 4. Matrix B: row 1: 3, 5; row 2: 4, 2. Matrix C: row 1: -3, 3; row 2: -6, -1.

  6. Pia simplifies AB + C. What is the entry in row 1, column 2?

  7. Matrix A

    Row 1: 1, -1; row 2: 4, 4. Matrix B: row 1: -3, 5; row 2: -2, -4. Matrix C: row 1: 6, -3; row 2: -2, -2.

  8. What is the entry in row 2, column 1 of AB − C, which Ren is finding?

  9. Matrix A

    Row 1: 4, -4; row 2: 1, -4. Matrix B: row 1: 3, -2; row 2: 4, -4. Matrix C: row 1: 6, 2; row 2: -5, 4.

  10. Zee needs one entry of A(B − C). What is the entry in row 1, column 1?

  11. Matrix Q (rows Friday, Saturday; columns cookies, juices)

    Row 1: 35, 49; row 2: 35, 38. Matrix P (rows cookies, juices; columns price, cost to make, in dollars): row 1: $1, $0.40; row 2: $1.50, $0.60.

  12. An adult runs the snack table. Matrix Q counts snacks sold, and matrix P gives each snack's price and cost to make. Ari finds QP. What were Saturday's sales in dollars?

  13. Use this

    Matrix Q (rows first game, second game; columns popcorn bags, lemonades): row 1: 60, 58; row 2: 55, 45. Matrix P (rows popcorn bags, lemonades; columns price, cost to make, in dollars): row 1: $2, $0.75; row 2: $1.50, $0.50.

  14. An adult runs the snack table. Matrix Q counts snacks sold, and matrix P gives each snack's price and cost to make. Esme finds QP. What were the first game's sales in dollars?

  15. Matrix Q (rows Monday, Tuesday; columns apples, waters)

    Row 1: 44, 29; row 2: 13, 29. Matrix P (rows apples, waters; columns price, cost to make, in dollars): row 1: $0.50, $0.20; row 2: $1, $0.25.

  16. An adult runs the snack table. Matrix Q counts snacks sold, and matrix P gives each snack's price and cost to make. Jun finds QP. What did Tuesday's snacks cost to make, in dollars?

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Multiply matrices, simplify matrix expressions and solve A + X = B

Answer Key - Grade 11 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. Row 1: 3, 12; row 2: -6, -15. Kira solves 3X = B for the matrix X. What is the entry in row 1, column 2 of X?

    4

  2. Row 1: 2, -8; row 2: 10, -4. Luz's matrix puzzle says -2X = B. What is the entry in row 2, column 1 of X?

    -5

  3. Row 1: -7, -8; row 2: 5, 6. Matrix B: row 1: 3, -2; row 2: 15, 14. Milo needs X, where 2X + A = B. What is the entry in row 2, column 2 of X?

    4

  4. Row 1: 3, -7; row 2: -6, 4. Matrix B: row 1: -12, 8; row 2: 6, 13. For 3X + A = B, what is the entry in row 1, column 1 of X, the matrix Noah wants?

    -5

  5. Read this first

    Matrix A

    Row 1: -3, 2; row 2: -2, 4. Matrix B: row 1: 3, 5; row 2: 4, 2. Matrix C: row 1: -3, 3; row 2: -6, -1.

  6. Pia simplifies AB + C. What is the entry in row 1, column 2?

    -8

  7. Matrix A

    Row 1: 1, -1; row 2: 4, 4. Matrix B: row 1: -3, 5; row 2: -2, -4. Matrix C: row 1: 6, -3; row 2: -2, -2.

  8. What is the entry in row 2, column 1 of AB − C, which Ren is finding?

    -18

  9. Matrix A

    Row 1: 4, -4; row 2: 1, -4. Matrix B: row 1: 3, -2; row 2: 4, -4. Matrix C: row 1: 6, 2; row 2: -5, 4.

  10. Zee needs one entry of A(B − C). What is the entry in row 1, column 1?

    -48

  11. Matrix Q (rows Friday, Saturday; columns cookies, juices)

    Row 1: 35, 49; row 2: 35, 38. Matrix P (rows cookies, juices; columns price, cost to make, in dollars): row 1: $1, $0.40; row 2: $1.50, $0.60.

  12. An adult runs the snack table. Matrix Q counts snacks sold, and matrix P gives each snack's price and cost to make. Ari finds QP. What were Saturday's sales in dollars?

    $92

  13. Use this

    Matrix Q (rows first game, second game; columns popcorn bags, lemonades): row 1: 60, 58; row 2: 55, 45. Matrix P (rows popcorn bags, lemonades; columns price, cost to make, in dollars): row 1: $2, $0.75; row 2: $1.50, $0.50.

  14. An adult runs the snack table. Matrix Q counts snacks sold, and matrix P gives each snack's price and cost to make. Esme finds QP. What were the first game's sales in dollars?

    $207

  15. Matrix Q (rows Monday, Tuesday; columns apples, waters)

    Row 1: 44, 29; row 2: 13, 29. Matrix P (rows apples, waters; columns price, cost to make, in dollars): row 1: $0.50, $0.20; row 2: $1, $0.25.

  16. An adult runs the snack table. Matrix Q counts snacks sold, and matrix P gives each snack's price and cost to make. Jun finds QP. What did Tuesday's snacks cost to make, in dollars?

    $9.85