Solving Equations

What is the first step to solve this equation:

- 3x -11 = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

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

Solve for x:

2x - 3 + 4x = 27

• x = 12

• x = 4

• x = 5

• x = 15

Solve for b:
-11 + 3(b + 5) = 7

• b = 1
• b = -1
• b = 3
• b = -3

Solve for a:

-8(-4+a) + 3(2a+1) = -19

• a = 27

• a = -27

• a = 3.86

• a = 1.67

Solve for k:

38 + 7k = 8(k + 4)

• k = 6

• k = 8

• k = -6

• k = 1

Which step is incorrect?

2(1-5n) = -30 - 2n

Step 1: 2 - 7n = -30 - 2n

Step 2: 2 = -30 + 8n

Step 3: 32 = 8n

Step 4: 4 = n

• step 1

• step 3

• correct answer

• step 2

Which step is incorrect?

2(1-5n) = -30 - 2n

Step 1: 2 - 7n = -30 - 2n

Step 2: 2 = -30 + 5n

Step 3: 32 = 5n

Step 4: 6.2 = n

• step 1

• step 2

• step 3

• problem is correct

Solve for x.

 $\frac{1}{2}\left(\frac{1}{2}x+6\right)=\frac{5}{4}\left(x-6\right)$  

•  $10\ \frac{1}{2}$  

•  $-10\ \frac{1}{2}$  

•  $10\ \frac{1}{4}$  

•  $-10\ \frac{1}{4}$  

Solve for x.

 $-\frac{2}{3}\left(-x-\frac{1}{2}\right)=\frac{1}{6}\left(x-3\right)$  

•  $\frac{5}{6}$  

•  $-\frac{5}{6}$  

•  $\frac{5}{3}$  

•  $-\frac{5}{3}$