[PDF] 3-4 Skills Practice - Systems of Equations in Three Variables





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Glencoe Algebra 2 3-4 Skills Practice Systems of Equations in Three Variables Solve each system of equations 1 2a + c = –10 2 x + y + z = 3



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  • How hard is Algebra 2?

    In addition, Algebra 2 is the first math class in a student's math career that introduces topics that are more complex and less concrete, like complex numbers or logarithms, which makes Algebra 2 harder to grasp than other math classes whose concepts are more straight forward and easier to visualize.
  • What grade level is Algebra 2?

    Students typically learn Algebra II in 11th grade. An Algebra II curriculum usually builds on knowledge and skills that are gained in Algebra I and reinforced in Geometry, including relationships between quantities through equations and inequalities, graphing of functions, and trigonometry.
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    Consider forming a study group. Working with your fellow students to solve problems and going over algebraic concepts is a great way to succeed in an Algebra 2 class. You can also find out if your school offers a math study lab or tutors. Taking advantage of these resources can make passing Algebra 2 a lot easier.
  • Essential Skills for Algebra 2. Simplify radicals (without a calculator)Working with square roots.Operations with fractions (without a calculator)Adding fractions with unlike denominators.

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 3 27 Glencoe Algebra 2

3-4 Skills Practice

Systems of Equations in Three Variables

Solve each system of equations.

1. 2a + c = 10 2. x + y + z = 3

b c = 15 13x + 2z = 2 a 2b + c = 5 x 5z = 5

3. 2x + 5y + 2z = 6 4. x + 4y z = 1

5x 7y = 29 3x y + 8z = 0

z = 1 x + 4y z = 10

5. 2z = 6 6. 3x 2y + 2z = 2

2x + 3y z = 2 x + 6y 2z = 2

x + 2y + 3z = 9 x + 2y = 0

7. x 5z = 5 8.

3x + 2z = 1

y 3x = 0 4x + y 2z = 6

13x + 2z = 2 x + y + 4z = 3

9. x y + 3z = 3 10. 5x + 3y + z = 4

2x + 2y 6z = 6 3x + 2y = 0

y 5z = 3 2x y + 3z = 8

11. 2x + 2y + 2z = 2

12. x + 2y z = 4

2x + 3y + 2z = 4 3x y + 2z = 3

x + y + z = 1 x + 3y + z = 6

13. 3x 2y + z = 1 14. 3x 5y + 2z = 12

x + y z = 2 x + 4y 2z = 8

5x + 2y + 10z = 39 3x + 5y 2z = 12

15. 2x + y + 3z = 2 16. 2x 4y + 3z = 0

x y z = 3 x 2y 5z = 13

3x 2y + 3z = 12 5x + 3y 2z = 19

17. 2x + y + 2z = 2 18. x 2y + 2z = 1

3x + 3y + z = 0 x + 2y

z = 6 x + y + z = 2 3x + 6y 6z = 3

19. The sum of three numbers is 18. The sum of the first and second numbers is 15, and the first number is 3 times the

third number. Find the numbers. (5, 5, 20) (0, 2, 1) (3, 2, 1) no solution (2, 1, 3) (2, 1, 3) (0, 0, 1) (1, 6, 2) no solution (2, 3, 5) infinitely many (1, 2, 1) (5, 7, 0) infinitely many (1, 3, 1) (3, 0, 2) (1, 2, 3) infinitely many

9, 6, 3

quotesdbs_dbs14.pdfusesText_20
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