Solving for Unknowns

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

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

• x = 6

• x = -6

• x = -18/13

• x = 10/3

Solve for f:
f - 4 = 6f + 26

• f = -5

• f = 5

• f = 6

• f = -6

Solve: 5x - 14 = 8x + 4

• 6

• -6

• -18/13

• 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

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12

• 12 + 8t = 1500

• 1500 + 8t = 12t

• 8t = 12t + 1500

Fill in the blank: In the equation X + 87 = 362, the value of X is ____.

• 275

• 276

• 277

• 278