Math Multiple Step Equations

Solve:

2(2x + 3) = -6(x + 9)

• x = -2

• x = 6

• x = -6

• x = 2

How many solutions does this equation have?

• No Solution

• Infinite Solutions

• One Solution

Solve: 5x - 14 = 8x + 4

• 6

• -6

• 9

• -9

How many solutions does 3(2x - 3) = 6x + 12

• One Solution

• No Solutions

• Infinite Solutions

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.

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.

Solve the following systems of equations using substitution:

5x - 2y = 3

y = 2x

• (6, 3)

• (1, 2)

• (3, 6)

• (2, 1)

Solve the system of equations using substitution:

2x+8y=4

4x+16y=-4

• (-2, 1)

• (1, 2)

• Infinite Solutions

• No solutions

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

Solve this system by elimination

• (0,2)

• no solution

• (2,0)