Create Two Step Equations

First step?

• Add 10x to both sides

• Distribute 2 to 3x and 1

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450

• 3x + 2y = 450
  2x + 4y = 315

• 2x + 2y = 315
  3x + 4y = 450

Tags

CCSS.HSA.CED.A.3

Solve the equation 2x + 8 =18. What is x?

• 7

• 6

• 8

• 5

Answer explanation

To solve the equation 2x + 8 = 18, first subtract 8 from both sides to get 2x = 10. Then divide by 2 to find x = 5. Therefore, x = 5 is the correct answer.

Tags

CCSS.7.EE.B.4A

Which of the following solutions is correct for the equation 4x+6=18?

• x=1

• x=4

• x=3

• x=2

Answer explanation

To solve the equation 4x+6=18, first subtract 6 from both sides to get 4x=12. Then divide by 4 to find x=3. Therefore, the correct solution is x=3.

Tags

CCSS.6.EE.B.5

If you were to create a two step equation where the value of x =4 what would the equation look like?

• 2x+4=11

• 2x+3=11

• 3x+2=11

• 3x+3=11

Answer explanation

The correct equation for x=4 would be 2x+3=11. Plugging in x=4 gives 2(4)+3=11, which simplifies to 8+3=11.

3c + 5 = 23

• c = 3

• c = 6

• c = 7

• c = 18

Tags

CCSS.7.EE.B.4A

Solve 2x - 3 = 1

• 3

• 2

• 1

• -2

Tags

CCSS.7.EE.B.4A

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

Tags

CCSS.7.EE.B.4A

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15

• 2x + 5=15

• x + 2(5) = 15

• 2(x + 5) = 15

Solve for x.
x+2=-10

• x=-12

• x=6

• x=-8

• x=2

Tags

CCSS.6.EE.B.7