Variables on Both Sides and Number of Solutions

Solve for x:

5x - 14 = 8x + 4

• x = 6

• x = -6

• x = -18/13

• x = 10/3

Solve: 3x + 2 = 3x + 4

• all real numbers

• no solution

• x = 0

7w - 15 = 3w +4w - 15

• infinite solutions-all real numbers

• -2

• 2

• -5

Which of the options below would tell you that the equation would have NO SOLUTION?

• 6 = 7

• x = 0

• m = m

• 12 = 12

Which of the following answers would tell you that the equation has INFINITE SOLUTIONS?

• -9 = -9

• k = 1000000000

• 3 = 8

• j = x

6(7x + 7) = 7(6x + 6)

• x = 42

• x = 1

• no solution

• infinite solutions

4x - 9 = 3.5x - 9

• x = 0

• x = 1

• no solution

Which of the following is the best first step to take when solving this equation?

-11b + 8 = -3b

• add 11b to both sides

• add -11b to both sides

• divide both sides by 8

• multiply both sides by -3

Solve the equation:

4x - 5x + 9 = 5x - 9

• x = -3

• x = 9

• x = 3

• x = -9

Solve for x:

2(x + 5 ) - 7 = 3(x - 2 )

• x = 6

• x = -14

• x = 9

• x = 28