MATHEMATICS 7: ACT 2 2ND

1. What do you call the process of adding the equations to eliminate either 𝑥 or 𝑦 from the system of linear equations?

• cancellation
• elimination
• graphing

2. Determine which coordinates satisfy the system 5𝑥 + 𝑦 = 14 and 4𝑥 − 𝑦 = 4 .

• ( -4, 6 )
• ( 2, 4 )
• ( 4, -2 )

3. Is the ordered pair (2, 0) a solution to the system of linear equations 𝑥 + 2𝑦 = 2 and 2𝑥 − 𝑦 = 4 ?

• A. No, (2, 0) is not a solution.
• B. Yes, (2, 0) completely satisfies the system.
• C. The given is NOT a system of linear equation.

4. What do you call the process of adding the equations to eliminate either 𝑥 or 𝑦 from the system of linear equations?

• substitution
• elimination
• graphing

5. What is the first step to solve this system of linear equations 5𝑥 − 3𝑦 = −2 and 4𝑥 + 3𝑦 = 20 by elimination?

• Add the 2 equations.
• Subtract the 2 equations
• Multiply the second equation by 3.

6. Which of the following is the most efficient method to use in solving the system of linear equations 4𝑥 + 𝑦 = 5 and 2𝑥 − 𝑦 = 1 ?

• substitution
• elimination
• graphing

7. What is the value of 𝑦 in the system of linear equations 𝑥 + 3𝑦 = 2 and 2𝑥 + 2𝑦 = 8 ?

• -5
• -1
• 1

8. Using the elimination method, what is the value of variable 𝑥 in this system of linear equations 𝑥 − 2𝑦 = 6 and 𝑥 + 2𝑦 = 12 ?

• x = -6
• x = 3
• x = 9

9. In this system of linear equations 3𝑥 + 6𝑦 = 6 and 6𝑥 − 12𝑦 = 24, what should we multiply to equation 1 so that the coefficients of 𝑥 in both equations will become opposites?

• -2
• -3
• 2

10. Four years ago, Luna was 6 times as old as her cousin, six years ago, her age was 2 years more than eight times her cousin’s age. How old is Luna?

• 20 years old
• 40 years old
• 30 years old