Systems of Linear Equations. Methods for Solving Them.

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Systems of Linear Equations. Methods for Solving Them. Revision Questions

1. . Which of the following equations is linear?

1. x - 3/y = 12
2. 2x - y = 1/x
3. x² = 3 - y
4. x = 3y - 1

Reveal AnswerCorrect Answer: D

2. . Which of the following points is a solution for the linear equation

1. (-1, 1)
2. (-1, -1)
3. (1, -1)
4. (1, 1)

Reveal AnswerCorrect Answer: B

3. . Which of the following pairs of values is a solution set for the system of linear equations

1. (5, 1)
2. (3, -2)
3. (0, -4)
4. (3, 6)

Reveal AnswerCorrect Answer: A

4. . What is the value of m so that the number pair (3, 1) be the solution set for the system of linear equations

1. 1
2. 2
3. 3
4. 4

Reveal AnswerCorrect Answer: B

5. . A 12 m rope is divided into two pieces where the short piece is three times longer than the other. What are the pieces' lengths?

1. 4 cm and 8 cm
2. 2 cm and 10 cm
3. 3 cm and 12 cm
4. 3 cm and 9 cm

Reveal AnswerCorrect Answer: D

6. . What is the equation obtained with one step by eliminating the variable from the system of linear equations

1. 6x = 18
2. 6x - y = 18
3. 2x = 9
4. x = 18

Reveal AnswerCorrect Answer: A

7. . Which of the following is a correct substitution for the system of equations

1. x = 3y + 2
2. y = x + 6
3. x = 6 - y
4. y = x - 2/3

Reveal AnswerCorrect Answer: C

8. . What is the solution set of the system of linear equations shown in the figure?

1. x = 2; y = 3
2. x = 2; y = 1
3. x = 1; y = 2
4. x = 0; y = 2

Reveal AnswerCorrect Answer: B

9. . The solution set of a system of linear equations is (1, 4). Which of the following is the system of equations?

Reveal AnswerCorrect Answer: B

10. . Which of the following systems of linear equations has the number pair (1, - 2) as a solution set?

1. 2x - 3y = 8x - y = -1
2. x - 4y = 94x - y = 2
3. - x - y = 1x - 2y = 5
4. - 2x + 5y = - 12 - x + 4y = 7

Reveal AnswerCorrect Answer: C

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