Linear Functions, Linear Equations, Systems and Inequalities

Solve for x:

7 - 2(10x + 1) = 25

• 2/5

• 2

• 1

• -1

Solve for x:
6(2x + 1) = 18

• 3
• 17/12
• 1
• 2

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

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

Solve the equation

• 14
• -14
• 4
• -2

-35 ≤ -9n - 8

• n ≤ -5
• n ≥ -5
• n ≤ 3
• n ≥ 3

Solve for n:
2m - n = 8

• n = 2m - 8
• n = -2m - 8
• n = 2m + 8
• n = -2m + 8

Solve for y:
8x + 4y = 12

• y = -x + 3
• y = 2x - 3
• y = -2x + 3
• y = -2x - 3

In the expression 3m + 8, the number 3 is called the ____________.

• variable

• constant

• coefficient

• answer