Writing Equation and Inequalties

Multiple Choice

Peppy Pets charges a flat fee of $25 plus $2.75 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $30 plus $0.75 per hour. For how many hours is the total fee charged by the companies the same?

• 0.4 hours

• 2.5 hours

• 7 hours

• -2.5 hours

Multiple Choice

Which of the following scenarios best represents the following inequality? 30 + 4x  $$>$$  70 + 2x 

• There are two limo companies that charge based on the number of people, x, that they carry.  Limo A charges $30 plus $4 per person.  Limo B charges $70 plus $2 per person.  Write an inequality showing when Limo B will be a better deal.

• Company A charges a one time installation fee of $30 and $4 per month.  Company B charges a one time installation fee of $70 and the $2 per month.  After how many months will will you save money by using Company A? 

• Company A charges a one time installation fee of $30 and $4 per month.  Company B charges a one time installation fee of $2 and the $70 per month.  After how many months will will you save money by using Company A? 

• Company A charges a one time installation fee of $4 and $30 per month.  Company B charges a one time installation fee of $70 and the $2 per month.  After how many months will will you save money by using Company B? 

Multiple Choice

Which situation can be represented by 15x + 8 = 10x

• John went to two different carnivals. The first carnival charged $15 per hour and gave a 8% discount with a coupon. The second carnival charged $10 per hour. What is the number of hours that John can stay at each carnival to have to pay the same amount?

• John was training for a bike race. On the first day her traveled 8 miles per hour and started 15 miles from his house. On the second day he started from his house and rode 10 miles per hour. What is the number of hours that John would have to ride his bicycle to travel the same distance on both days?

• John and Jennifer were playing a video game. John scored started the game with 8 points and scored 15 points per minute. Jennifer started the game with no points and scored 10 points per minute. After how many minutes would they each have the same score?

• John payed $8 for each pizza and a $15 delivery fee. Jennifer paid $10 for each pizza and had no delivery fee. How many pizzas can each of them order using the same amount of money?

Multiple Choice

Solve the equation:
7x - 4 = 3 + 8x

• x = 7
• x = -7
• x = 2/7
• x = 11

Multiple Choice

2x = x + 3

• 6
• 3
• 2
• x

Multiple Choice

The price of stock A at 9 AM is $12.73.  Since then, the price has been increasing at the rate of $0.06 each hour.  At noon the price of stock B was $13.48.  It begins to decrease at the rate of $0.14 each hour.  If the two rates continue, in how many hours stock B be less than stock A?

• 12.73x + .06 < 13.48x - 0.14
• 12.73 + .06x > 13.48 - 0.14x
• 12.73 - .06x > 13.48 - 0.14x
• 12.73 + .06x < 13.48 + 0.14x

Multiple Choice

How would you write 0.0005 in scientific notation?

• 50 x 10⁵
• 5 x 10^-4
• 5 x 10^-3
• .5 x 10³

Multiple Choice

Which is the correct standard notation for 9.04 x 10^6?

• 9,040,000

• 904,000

• 0.000000904

• 904,000.000

Multiple Choice

Write these numbers in ascending order

-0.567, 2/3, -9/20, 0.05

• 0.05, 2/3, -9/20, -0.567

• 2/3, 0.05, -9/20, -0.567

• -9/20, -0.567, 0.05, 2/3

• -0.567, -9/20, 0.05, 2/3

Multiple Choice

which equation is represented by the model?
circles represent x's
squares represent the units

• 2x + 4 = 3x +5
• 5x +8 = 4x +11
• 3x + 3=1x + 7
• 5x +10= 10x + 2

Multiple Choice

solve for x

• -1

• 1

• 6

• -3

Multiple Choice

Solve for x

8x + 1 = -2x -1

• -0.2

• 0.2

• 5

• -5

Multiple Choice

solve for x

7x + 5 = -9x - 3

• -0.5

• 0.5

• 2

• -2

Multiple Choice

Town A's population is 14,000, and it is increasing by 160 people every year. Town B has a population of 24,000, and it is decreasing by 200 people every year.  In about how many years will the Town A's population be Greater than town B?

• 14,000 + 160y > 24,000 - 200y
• 14,000 + 160y < 24,000 + 200y
• 14,000y + 160 < 24,000 - 200y
• 14,000 - 160y > 24,000 - 200y

Multiple Choice

Joey needs to cut a square piece of wood with an area of 56 square inches. How long should the side of the square be, rounded to the nearest tenth of an inch?

• 14

• 7.5

• 28

• 3.2

Fill in the Blanks

I Tunes allows you to download songs for $.75 each, but you pay a signup fee of $15. Napster allows you to download songs for 0.99 per song. Write an equation to so how many songs do you need to purchase from Napster to make I Tunes and Napster the same cost.