G08 MATH

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

• Multiply the first equation by 1/5.

• Subtract the 2 equations.

• Multiply the second equation by 3.

•    Add the 2 equations.

1. What do you call the process of solving one of the equations for one variable and replacing the resulting expression to the other equation to solve for the other variable without changing the value of the original expression? 

• substitution

• transformation

• elimination

• graphing

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

•   There is not enough data given to solve the system.

• No, (2,0) is not a solution.

• Yes, (2, 0) completely satisfies the system.

• The given is NOT a system of linear equation.

1. Determine which coordinates satisfy the system, eq 1. 5𝑥 +𝑦 = 14; eq 2. 4𝑥 −𝑦 =4

•    (6,4)

•    (2,4)

• (4,−2)

• (−4, 6) 

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

•   substitution

• cancellation

• elimination

• graphing

1. The system of linear equation 3𝑥 +12𝑦 = −12; 𝑥 −3𝑦 =10 is to be solved using elimination method. What should be the first step to solve this system?

• Multiply the second equation by 4

• Multiply the first equation by −4

• Subtract the equations.

• Add the two equations.

1. Which of the following equations can best be solved using elimination by addition?

•   𝑥−3𝑦 =5; 3 +𝑥 =−2𝑦

•   2𝑥 +𝑦 =10; 2𝑥 +𝑦 =8

•   𝑥+𝑦 =5; 𝑥 −𝑦=7

• 𝑥+𝑦 =10; 2𝑥 +𝑦 =8

1. Which method is best to apply to solve the system 𝑦 = 3𝑥 −2; 2𝑥 +𝑦 =8?

• substitution

• graphical

• elimination

• algebraic

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

• -3

• 3

• -2

• 2

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

• graphing

• cancellation

• elimination

• substitution