Systems of Equations Error Analysis

Is there a mistake on the equation solved? If so where was the mistake made?

• This equation is solved correctly.

• The mistake was made on the second step doing the distributive property on the right side.

• The mistake was made on the third step of moving the variables.

• The mistake was made on the fourth step of determining true/false statement as infinite vs no solution.

• The mistake was made on the first step doing the distributive property on the left side.

Describe the error in solving the system of linear equations.

• The y-term was multiplied by -5 instead of 5.

• The y-term was multiplied by 5 instead of -5.

Problem b, your friend

RAFFLE TICKETS: You and your friend are selling raffle tickets for a new laptop. You sell 14 more tickets than your friend sells. Together, you and your friend sell 58 tickets.

b. How many tickets do each of you sell?

your friend sells ___ tickets

Mathematical Equivalence

ON

Problem #22

ERROR ANALYSIS: Correct the error in solving the system of linear equations.

• (-3, 4)

• (-3, -4)

• (4, -3)

• (3, -4)

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Problem #14 a

RAFFLE TICKETS: You and your friend are selling raffle tickets for a new laptop. You sell 14 more tickets than your friend sells. Together, you and your friend sell 58 tickets.

a. Write a system of linear equations that represents this situation. (Select all that apply.)

Problem #14

ERROR ANALYSIS: Correct the error in solving the system of linear equations.

• one solution

• no solution

• infinitely many solutions

Problem #14

ERROR ANALYSIS: Describe the error in solving the system of linear equations.

• The lines have different y-intercepts, so the lines are parallel.

• The lines have different slopes.

• The lines have the same slope and the same y-intercept.

One equation in a system of linear equations has a slope of − 3. The other equation has a slope of 4. How many solutions does the system have?

• one solution

• no solution

• infinitely many solutions

Problem #16

REASONING: One equation in a system of linear equations has a slope of − 3. The other equation has a slope of 4. How many solutions does the system have? Explain.

• The lines have different y-intercepts, so the lines are parallel.

• The lines have different slopes, they will intersect in one point.