Linear Equations

Solve the equation with fractions: 1/2x = 3

• x = 6

• x = 2/3

• x = 1/6

• x = 3

Solve the equation with fractions: 3/4y + 2 = 5

• 1/2

• 7

• 3/5

• 2

• In Step 6, Blake should have divided both sides by +10, not -10.

• In Step 1, Blake should have added 6n and -8n to get -2n, not 14n.

• Blake's steps and solution are all correct.

Solve:
3(x - 2) = 18

• 6.7

• 4

• 8

• -4

Construct linear equation for the following statement: Two numbers are in the ratio 5 : 7 and sum of the numbers is 120

• 5x + 7x = 120

• 5x - 7x =120

• x ⁄ 5 + x ⁄ 7 = 120

• None of the above

The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?

• 84 , 36

• 36,72

• 12,40

• 20,40

x + 12 = 20

• x = 32

• x = -32

• x = 8

• x = -8

Solve the equation
3x = 27. 

• x = 24

• x = 81

• x = 9

• x = 3

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side. 

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 3