Solving Equations

• $\frac{4}{3}$

• $\frac{11}{12}$

• $\frac{19}{12}$

• $\frac{6}{7}$

Solve for w:
-6w + 1 = -11

• 2
• 1.2
• 12
• -2

Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20

• They should have divided by 1 for the last step
• They should add 19 instead of subtracting 19
• I can not find an error
• Instead of adding 3k they should subtract 3k

x + ⅚ = ⅔

• x = -⅙
• x = ⅙
• x = 1½
• x = -1½

Find the Error

What error did the student make when solving the equation:

5x + 6 = 66

5x - 6 = 66 -6

5x = 60

(5)5x= 60(5)

x = 300

• The student subtracted 6 from both sides instead of adding

• Student multiplied by 5 instead of dividing by 5

• Student got the wrong answer when subtracting 66-6

• The student did not correctly eliminate the variable from one side of the equation

The steps in solving 9b - 6 = 33 are:

• Add 6 to both sides and divide both sides by 9

• Add 6 to both sides and multiply both sides by 9

• Subtract 6 from both sides then multiply both sides by 9

• Subtract 6 from both sides then divide both sides by 9

The steps in solving
4b + 4 = 24 are: 

• Add 4 to both sides then divide both sides by 4
• Add 4 to both sides then multiply both sides by 4
• Subtract 4 from both sides then multiply both sides by 4
• Subtract 4 from both sides then divide both sides by 4

The first step in solving 2x+1=5 would be subtracting 1 from each side to get 2x=4.

• True

• False

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

• subtract 10, divide by 7

• divide by 7, subtract 10

• multiply by 7, add 10

• add 10, multiply by 7

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