Solving Linear Equations with Unknowns on One and Both Sides

x + 7 + 2 = 1

• 2

• -2

• -8

• 7

4 = 4m - 2m

• 0

• 2

• -6

• -16

Solve the following equation,
7x - 9 = 33

• x = 24/7

• x = 42

• x = 24

• x = 6

3(5x + 1) = 48

• x = 47/15

• x = 47

• x = 51

• x = 3

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

-16 = -8r - 8r

• 7

• 16

• -15

• 1

x + 2 = x + 4

• all real numbers

• no solution

• x = 0

Solve for x:
5x - 14 = 8x + 4

• x = 6

• x = -6

• x = -18/13

• x = 10/3

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

• 2 hours

• 3 hours

• 4 hours

• 5 hours