Advanced Algebra Chapter 3 Review: Solving Systems of Equations, Exercises of Calculus

A review of chapter 3 in advanced algebra, focusing on solving systems of equations through graphing, substitution, and elimination. It includes 30 problems for practice.

Typology: Exercises

2012/2013

Uploaded on 01/31/2013

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Advanced Algebra Ch. 3 Name_________________________
Chapter 3 Review
Do not use a graphing calculator for problems 1-30.
Solve the following systems of equations by graphing.
1.
3x 4y 8
2yx6
+=
=
2.
3x 2y 10
4x y 6
−=
+=
3. When would a system with two equations have no solution?
Solve the systems of equations by substitution.
4.
2x y 4
3x 2y 1
+=
+=
5.
x 3y 7
3x y 1
−=
+=
Solve the systems of equations by elimination.
6.
21
x y 15
33
6x 2y 10
+=
−=
7.
2x y 7
3
3x y 9
+=
−=
pf3
pf4
pf5

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Advanced Algebra Ch. 3 Name_________________________ Chapter 3 Review

Do not use a graphing calculator for problems 1-30. Solve the following systems of equations by graphing.

  1. 3x 4y 8 2y x 6
  1. 3x 2y 10 4x y 6
  1. When would a system with two equations have no solution?

Solve the systems of equations by substitution.

  1. (^) 2x y 4 3x 2y 1
  1. (^) x 3y 7 3x y 1

Solve the systems of equations by elimination.

  1. 2 x 1 y 15 3 3 6x 2y 10
  1. 2x^ y^7 3 3x y 9

Solve the systems of equations by substitution or elimination.

  1. 8x 3y 5 6y 10x 13 0
  1. 9x y 30 6x 15 y

Solve each system by graphing.

  1. y 4 x y 3x 1
  1. y 3 x x y 2
  1. y x 2 3

y x 2

  1. x 2y 6 y x 3

Write & solve a system of equations.

  1. The sum of three numbers is 6. The third number is the sum of the first and second numbers. The first number is one more than the third number. Find the numbers.
  2. Alissa, Jake, and Dylan are siblings. They have lived a total of 61 years combined. Alissa has lived two more years than Dylan. Jake and Dylan combined have lived 17 years longer than Alissa. Find the age of each sibling.
  3. Meg, Katy, and Chris are keeping track of how far they run each day. At the end of the week, they combined their distances and found that they ran 82 miles in total. Katy ran twice as far as Meg, and Chris ran 2 more miles than Meg. How far did each person run?

ANSWERS

  1. (4, -1)
  2. (2, -2)
  3. Same slope / parallel lines
  4. (7, -10)
  5. (1, -2)
  6. (10, 25)
  7. (6, 9)
  8. 1 , 3 2
  1. (3, 3)

  2. (^) y 1 x 3 2

  1. (-3, -2, -5)
  2. (-20, 12, 7)
  3. (-2, -3, 1)
  4. (15, -1, 5)
  5. (4, -1, 3)
  6. A=22, D=20, J=
  7. C=22, K=40, M=