Algebra II 5.2, 5.3 and 5.5 Review Please give exact simplified answers unless you are instructed to round!

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Presentation transcript:

Algebra II 5.2, 5.3 and 5.5 Review Please give exact simplified answers unless you are instructed to round!

Question #1 Simplify:

Answer #1

Solve by isolating the squared term and taking square roots: Question #2 Solve by isolating the squared term and taking square roots:

Answer #2

Question #3 In the right triangle below, find x. Please round to the nearest hundredth 4 8.2 x

Answer #3 7.16

Question #4 Factor

Answer #4

Question #5 Factor

Answer #5

Question #6 Solve by factoring method:

Answer #6 x = 9 ; x =5

Question #7 Solve by factoring:

x = 0; x = -3/4 Note: x =-0.75 would be accepted as well! Answer #7 x = 0; x = -3/4 Note: x =-0.75 would be accepted as well!

Question #8 Molly’s height above the water is at any time (t) in seconds is modeled by the equation below. When will Molly hit the water? Round to two decimals:

Answer #8 x = 2.42 seconds When she hits the water, her height above the water is zero so set the equation equal to zero and solve. The square root method is the fastest!

Question #9 Factor completely:

Answer #9

Question #10 Solve:

Answer #10

Question #11 Simplify:

Answer #11

Question #12 Solve by factoring:

Answer #12

Solve using the quadratic formula. Be sure to simplify! Question #13 Solve using the quadratic formula. Be sure to simplify!

Answer #13

Solve using the quadratic formula. Be sure to simplify! Question #14 Solve using the quadratic formula. Be sure to simplify!

Answer #14

Determine the zero(s) of the function below. Question #15 Determine the zero(s) of the function below.

Answer #15 x = 7 Double Root!

Question #16 Use your graphing calculator to approximate the zeros of the function below. Round your answer(s) to the nearest thousandths.

Answer #16 -3.178 and 0.378