Quadratic Expressions
Find the value of c that makes the expression x2+18x+c a perfect square trinomial.
What is 81?
Solve for x in the equation √3x = 6.
What is 12?
Given point A(-2,4) is translated up 3 and left 5, what is the new coordinates for A'?
What is (-7, 7)?
Given a ladder is leaning against a building that is 50 feet tall at an angle of elevation of 60. How far away is the base of the ladder from the building?
What is 28.9 feet?
Find the value(s) of x in the equation (x+3)2 = 9
What are 0 and -6?
Factor the expression x2 - 2x - 48.
What is (x-8)(x+6)?
Use the equation r = 270/t, where r is the rate (speed) of a car in miles per hour during a road trip, and t is the time in hours. If the average speed of the car is 60 mph, how long did the trip take?
What is 4.5 hours?
Given B(1, 4) is reflected over the x-axis, find the new coordinates of B'.
What is (1, -4)?
Given a man sights a boat in the water from the top of a lighthouse at an angle of depression of 40. If the boat is 70 feet away from the lighthouse, how tall is the lighthouse?
What is 58.7 feet?
Find the value(s) of x in the equation x2+5x-24=0
What are -8 and 3?
Write the expression x2+10x+32 in vertex form by completing the square
What is (x+5)2+7?
In the formula v = 20√[273+t], find the value of t when v = 340.
What is 16?
Given H(-4, -6) is rotated 90 clockwise about the origin. Find the new coordinates for H'.
What is (-6, 4)?
Given a person is flying a kite and the length of the string is 50 feet. If the kite is 35 feet in the air, what is the angle of elevation the kite string makes with the ground?
What is 44?
Use the discriminant to determine the number of solutions to the equation 2x2+6x+17=0
What are 2 imaginary solutions?
Factor 3x2+10x+8.
What is (3x+4)(x+2)?
If it takes 7 hours for 4 bakers to bake cookies, how many people are needed to bake the same amount of cookies in 3 hours and 45 minutes?
What is 8 people?
Given F(5, -3) is reflected across the line y=x, find the new coordinates for F'.
What is (-3,5)?
What is 100.7 feet?
Find the value(s) of x in the equation x2+5x-12=0
What is (-5 ± √73) ÷ 2?
Given the equation y = 2x2 - 4x + 10, find h and k in the vertex form equation y = 2(x-h)2 +k. You must complete the square.
What is h = 1 and k = 8?
If taxes on a $250,000 house are $2800, how much would a person with a house that cost $70,000 have to pay in taxes?
What is $784?
Given J(3, -7) is reflected over the y-axis and then rotated 90 counterclockwise. Find the new coordinates for J'.
What is (7,-3)?
Given a tree broke off at a point 12 feet up from the bottom of its base. The top of the tree made a 27 angle with the ground. How far was the top of the tree from its base and how tall was the tree before it broke off?
What is 23.6 feet from the base and what is 38.4 feet tall?
Find the value(s) of x in the equation 2x2-4x+20=0
What is 1 ± 3i?