1. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
Pg. 815 # Odd and 33, 40, 42

2. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination. 1
𝟐𝟑.
𝑥+3𝑦=0 𝑥+𝑦+𝑧=1 3𝑥−𝑦−𝑧=11 1 1 1 1 1

3. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination.
𝟐𝟑.
𝑥+3𝑦=0 𝑥+𝑦+𝑧=1 3𝑥−𝑦−𝑧=11 1
𝑥+3𝑦=0 𝑦+ − 1 2 𝑧= − 𝑧=−1

4. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination.
𝟐𝟓.
2𝑥−𝑦−𝑧=4 𝑥+𝑦−5𝑧=−4 𝑥 −2𝑦=4
𝑅 1 ↔ 𝑅 2 1 1 1 1 1

5. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination.
𝟐𝟓.
2𝑥−𝑦−𝑧=4 𝑥+𝑦−5𝑧=−4 𝑥 −2𝑦=4 1
𝑥+𝑦−5𝑧=− 𝑦−𝑧=− 𝑧=1

6. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination.
𝟐𝟕.
𝑥+𝑦+𝑧=4 𝑥−𝑦−𝑧=0 𝑥−𝑦+𝑦=2 1 1 1 1 1

7. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination.
𝟐𝟕. 1
𝑥+𝑦+𝑧=4 𝑥−𝑦−𝑧=0 𝑥−𝑦+𝑦=2

8. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination.
29.
𝑥+2𝑦−𝑧=−1 𝑥−𝑦+𝑧=4 𝑥−𝑦−3𝑧=−2 1 1 1
−𝑹 𝟑 ↔ 𝑹 𝟐 1 1

9. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination. 1
29.
𝑥+2𝑦−𝑧=−1 𝑥−𝑦+𝑧=4 𝑥−𝑦−3𝑧=−2
𝑥+2𝑦−𝑧=− 𝑦+2𝑧= 𝑧=1

10. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination.
𝟑𝟑.
2𝑥+2𝑦+7𝑧=− 𝑥+𝑦+2𝑧=0 4𝑥+6𝑦−𝑧=15
−1 −1 0 15
−1 −1 0 15
𝟏 −1 −
𝟏 𝟎 −1 −5 4 6 −1 −
𝟏 𝟎 −1 −5 𝟎 2 −13 −

11. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination.
𝟑𝟑.
𝟏 𝟎 −1 −5 𝟎 2 −13 −
2𝑥+2𝑦+7𝑧=− 𝑥+𝑦+2𝑧=0 4𝑥+6𝑦−𝑧=15
𝟏 𝟎 𝟏 5 𝟎 2 −13 − −3 17
𝟏 𝟎 𝟏 5 𝟎 2 −13 − −3 17
𝟏 𝟎 𝟏 5 𝟎 𝟎 −23 − −3 23
𝟏 𝟎 𝟏 5 𝟎 𝟎 𝟏 − −3 −1

12. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
Solve each system of equations using matrices. Use the Gaussian elimination with back-substitution or Gauss-Jordan elimination.
𝟑𝟑.
𝟏 𝟎 𝟏 5 𝟎 𝟎 𝟏 − −3 −1
𝑥+𝑦 =− 𝑦+5𝑧=− 𝑧=−1
2𝑥+2𝑦+7𝑧=− 𝑥+𝑦+2𝑧=0 4𝑥+6𝑦−𝑧=15

13. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
40. Find the quadratic function 𝑓 𝑥 =𝑎 𝑥 2 +𝑏𝑥+𝑐 for which 𝑓 −1 =5, 𝑓 1 =3, and 𝑓 2 =5.
𝑎−𝑏+𝑐=5 𝑎+𝑏+𝑐=3 4𝑎+2𝑏+𝑐=5
1 −

14. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
42. Find the quadratic function 𝑓 𝑥 =𝑎 𝑥 2 +𝑏𝑥+𝑐 for which 𝑓 −1 =3, 𝑓 1 =1, 𝑓 2 =6 and 𝑓 3 =7.

15. International Studies Charter School
Mrs. Rivas
International Studies Charter School
Worksheet Practice 8-1
42. Find the quadratic function 𝑓 𝑥 =𝑎 𝑥 2 +𝑏𝑥+𝑐 for which 𝑓 −1 =3, 𝑓 1 =1, 𝑓 2 =6 and 𝑓 3 =7.