Algebra EOC Questions Unit 8

Sonia has $40 in her lunch account and pays $2 each day to eat lunch.
How long till her account has no money left?

• 40 + 2x, 20 days
• 40 - 2x, 20 days
• 2 + 40x, 10 days
• 2 - 40x, 15 days

Write an expression for the following. Jerry has $20 and makes $7 per hour.

• 7x + 20
• 7 + 20x
• 20 + 7

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

• 15x + 3x = 99    and 6 movies
• 15x + 3 = 99 and 6 movies
• 3x + 15 = 99 and 28 movies
• 3x + 99 = 15 and 28 movies

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? Let "c" represent the # of people who ordered chicken and "s" represent those who ordered steak.

• c + s = 6
  14.80c + 17s = 91
• c + s = 91
  14.80c + 17s = 6
• c + s = 6
  14.80s + 17c = 91
• c + s = 91
  14.80s+ 17c = 6

#7) A beach ball has a surface area of 2,827 square inches.  What is the radius of the beach ball?  Use the formula A=4πr², where A is the surface area, and r is the radius of the sphere.

• 10 in
• 15 in
• 20 in
• 25 in

#10) The area of a floor is represented by the expression 2x² + 2x – 24.  If the length of the floor is (2x – 6), what is the width?

• (x + 4)
• (x - 4)
• (2x + 4)
• (2x - 4)

#9) A raft is dropped from a helicopter 256 feet in the air above the ocean.  Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256.  How many seconds did it take the raft to hit the water? 

• -4
• 2
• 4
• 8

Find the vertex of 
f(x) = -x² - 4x + 12

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x
• y=1.09(1400)^x
• y=1400(.91)^x
• y=1.09^x