Solving Equations Multiple Choice

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold? What of the following systems represent this situation?

• S + A = 530

  3S + 4A = 1740

• S + A = 530

  4S + 3A = 1740

• S + A = 1740

  3S + 4A = 530

• S + A = 1740

  4S + 3A = 530

Which method would be best (quickest) for solving the system below:

• Making trials

• Elimination

• Graphing

• None of these

Which method would be best (quickest) for solving the system below:
3x - 4y = -2
y = 2x + 1

• Substitution

• Elimination

• Graphing

• None

What would be the first step in finding the solution using elimination?

• you cannot solve this using elimination

• cross out the 2x and 3x

• Add the like terms. The y terms will cancel out.

• change to slope intercept form and graph

________________ are two or more equations that have the same variables and work together.

• graphing lines

• elimination method

• system of equations

• table

What is an important step in solving a system by Substitution?

• Make sure both equations are in standard form.

• Make sure at least one equation is solved for one variable.

• Make sure both equations are the same.

• Make sure both equations can be solved.

What would be the first step to solve this system by elimination?

2x+9y= -7

6x-3y= 9

• Add the equations

• Subtract the equations

• Write each equation in slope intercept form.

• Multiple the first equation by 3 or -3

Which strategy is the best choice for solving this system?

4x − 4y = 10

4x + 4y = 0

• Elimination

• Making trials

• Substitution

• Graphing

Which strategy is the best choice for solving this system?

• Elimination

• Elimination with multiplication

• Substitution

• Graphing

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• same lines