Show All of Your Work on a Separate Piece of Paper and Box Your Answer

Integrated Math 3Unit 1 Review

Show all of your work on a separate piece of paper and box your answer.

Factor.

1) 2) 3)

4) 5) 6)

7) 8) 9)

10) 11) 12)

Identify the parent graph.

13) 14) 15) 16)

(a) Identify the parent function. (b) Give the domain and range.

17) 18) 19)

Solve by square roots.Solve by factoring.

20) 21) 22) 23)

Solve by completing the square.Solve by quadratic formula.

24) 25) 26) 27)

Simplify.

28) 29) 30) 31)

32) 33) 34) 35)

36) 37) 38) 39)

Convert from standard form to vertex form.Graph. Label the vertex and y-intercept.

40) 41)

Graph and find the following characteristics: (a) opens, (b) axis of symmetry, (c) vertex, (d) y-intercept, (e) x-intercepts, (f) max or min value, (g) domain and range

42) 43)

Use for the following questions.

44) A soccer ball is kicked from ground level with an initial vertical velocity of 64 ft/s. When does the ball hit the ground? What is its maximum height?

45) A rocket is shot from ground level withan initial vertical velocity of 96 ft/s. When does the ball hit the ground? What is its maximum height?

46) Using the graphing calculator. A ball is kick from the roof of a 10 foot tall building with an initial vertical velocity of 54 ft/s. When does the ball hit the ground? What is its maximum height?

47) Derive the quadratic formula: (start with standard form and complete the square)

Solve they system using the given method.

48) Graphing49) Substitution50) Elimination