March 22 Alg 2 Extra Credit practice

What is the solution to the system of linear equations graphed below?

• No Solution

• Infinitely Many Solutions

• One Solution: (3, 1)

• One Solution: (1, 3)

What is the solution to the system of linear equations graphed below?

• No Solution

• Infinitely Many Solutions

• One Solution: (0, 2)

• One Solution: (2, 6)

What are the steps for graphing a line?

• 1. Plot the y-intercept

  2. use slope to do rise over run to get the second point

  3. Draw the line.

• 1. Make a table

  2. Plot slope and do rise over run

  3. Draw line

• 1. Plot two points

  2. Check the slope

  3. Draw line

• 1. Draw line

  2. Hope it is right

Which two steps should be used first in solving the system of equations by substitution?
 6y − 4x =22
y + 2X = 9

• A. Multiply the first equation by 4 and the second equation by 2.
• B. Substitute 9 for y in the first equation and then solve the other equation for x.
• C. Solve the second equation for y and then substitute this value into the first equation.
• D. Subtract the terms in the second equation from the first equation and then solver for y.

Say you wanted to eliminate x from the system shown. How would you do it?

• Add the equations without doing any multiplication.

• Multiply the first equation by 2 and the second equation by 3, then add the equations.

• Multiply the first equation by negative 2 and the second equation by 3, then add the equations.

• Multiply the first equation by 3 and the second equation by negative 2, then add the equations.

Which of the following could be a correct first step in solving the system shown? Select all that apply.

• Multiply the first equation by 2, then add the result to the third equation.

• Multiply the second equation by 2, then add the result to the third equation.

• Add the first and second equation.

• Add the first and third equation.

• Add the second and third equation.

Does the ordered triplet (2,1,-4) satisfy the system of equations above?

• Yes

• No

• No Clue

x+y+z=12

3x+y=19

5x=25

What would you solve for First?

• Solve for x

• Solve for y

• Solve for z

• (5,3,4)

What if you are solving a system and the variables cancel out and you end up with a statement such as 3=3, what can you conclude about the system?

• the solution is 3

• there are no solutions

• you can't conclude anything

• there are infinite solutions

What is the first step Terri could take to find the solution to the system of equations using the Elimination Method?

• Multiply by -1 through one equation to flip the signs and create opposite y-values.

• Multiply by -1 through one equation to flip the signs and create opposite x-values.

• Multiply by 1 through one equation to flip the signs and create opposite y-values.

• Isolate a variable and substitute the value in the other equation.