Two Step Equations Multiple Choice

Joey has to solve the system of equations using substitution. He has completed the work shown. What should be his next step?

• Nothing. He is done.

• He needs to write his solution as an ordered pair (0, 2).

• He needs to plug back in to one of the equations to find x.

• He needs to check his work to make sure he made no mistakes.

Solve the following systems of equations using substitution:

5x - 2y = 3

y = 2x

• (6, 3)

• (1, 2)

• (3, 6)

• (2, 1)

Solve this system by elimination

• (0,2)

• no solution

• (2,0)

Adult tickets to a play cost $22. Tickets for children cost $15. Tickets for a group of 11 people cost a total of $228. Which systems of equations below show the number of adult tickets, a, and the number of children tickets, c, that were sold?

• a + c = 228

  22a + 15c = 11

• a + c = 11

  22a + 15c = 228

• a + c = 11

  15a + 22c = 228

• a + c = 228

  15a + 22c = 228

A snack bar sells two sizes of snack packs. A large snack pack, x, is $5, and a small snack pack, y, is $3. In one day, the snack bar sold 60 snack packs for a total of $220. Which answer choice below shows the number of $5 snack packs and the number of $3 snack packs that were sold?

• 10 large snack packs, 50 small snack packs

• 15 large snack packs, 45 small snack packs

• 20 large snack packs, 40 small snack packs

• 25 large snack packs, 35 small snack packs

Sierra has to solve this system of equations using elimination. What should be her FIRST step?

• Isolate the x in the second equation so that she can substitute into the first equation.

• Solve both equations for y so that she can easily fraph the equations and find the point of intersection.

• Multiply the second equation by 3 so that the x's have the same coefficient to then add the two equations together.

• Multiply the second equation by -3 so that the x's have opposite coefficients to then add the two equations together.

To eliminate the y variable, . . .

• multiply the top equation by 1

• multiply the bottom equation by 3

• multiply the bottom equation by -3

• multiply the top equation by 4

Marcos is solving the system of equations using elimination. His work is shown. What should be his next step?

• He is done and has solved the system correctly.

What is the solution to this system?
y= 4x + 3
2x - 3y = 21

• (3,-9)

• (-3,-9)

• (-3,9)

• (0,1)

Which variable will be eliminated first?

• x

• y