Algebra State Test

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

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

True or False:
The domain of a quadratic is all real numbers.

• False

• True

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

Enterprise charges to rent compact cars for a fixed amount per day plus a fixed amount for each mile driven. Batman rented a car for 6 days, drove it 550 miles and spent $337. Superman rented the same car for 3 days, drove for 350 miles and spent $185. Set up the system. Let "d" represent the fixed charge per day and "m" represent the cost per mile.

• 6d + 550m = 337
  3d + 350m = 185

• 6d + 550m = 185
  3d + 350m = 337

• 6m + 550d = 337
  3m + 350d = 185

• 6m + 550d = 185
  3m + 350d = 337

You and a friend went to Los Tios for lunch. You order 2 tacos and 2 enchiladas. Your friend ordered 3 tacos and 1 enchilada. Your friend's bill was $4.00. You paid $4.80. Let "t" represent the price per taco and "e" represent the price per enchilada.

• 2t + 2e = 4.80
  3t + e = 4.00

• 2t + 2e = 4.00
  3t + e = 4.80

• 2e + 2t = 4.80
  3e + t = 4.00

• 2e + 2t = 4.00
  3e + t = 4.80

The area of a playground is 504 square yards.  The length of the playground is (x +8) and the width is (x – 2).  Find the length and width.

• 20

• -26 and 20

• 18 and 28

• 14 and 36

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec.  This can be modeled with the function h(t) = -16t² + 96t.  When does the maximum height occur?

• 6 seconds

• 3 seconds

• 145 seconds

• 160 seconds

What is point-slope form?

• Ax + By = C

• y = mx + b

• y - y₁ = m(x - x₁)

• y = ax² + bx + c

When do you flip the sign when solving an inequality?

• Every time

• Never

• When you subtract or divide

• When you multiply or divide by a negative number

Solve:

• A

• B

• C

• D