University:
Winston-Salem Forsyth County Schools
Course:
AP Pre-Calculus
Academic year:

2014
Views:

201

Pages:

2
Author:

Karla Serrano

Algebra I Chapter 4 Section 1, 3, and 4 Quiz Review Guide Solutions Homework problems and class examples are a good resource for studying. The following is a list of the major concepts that are being covered on the quiz and what the students should expect to do on the quiz for each concept. Coordinate Plane: Relations • Identify the coordinates of a point • Represent a relation as a … o Set of ordered pairs • Graph a point on the coordinate plane o Table • Identify the quadrant of a point o Graph o Mapping  x + x 2 y1 + y 2  ,  Midpoint Formula:  1 • Find the Inverse of a relation 2   2 • Identify the Domain and Range • Find the midpoint of two points Find the solution set of an equation given… • Replacement set • Domain • Solve for the dependent variable Practice Problems 1) What quadrant are each of the point located in? o (-5, 5): Quadrant II o (3, 0): No Quadrant o (13, 9): Quadrant I o (0, -4) : No Quadrant 2) What is the midpoint of… o (-5, 5) and (13, 9): Midpoint = (4, 7) o (-5, 7): Quadrant II o (3, -2): Quadrant IV o (3, -4) and (-7, 6): Midpoint = (-2, 1) 3) Starting at the point (2, -3). If you go up 3, left 5, down 7 and right 2, then what point do you end up at? Start (2, -3); Up 3 = (2, 0); Left 5 = (-3, 0); Down 7 (-3, -7); Right 2 (-1, -7) Solution: (-1, -7) 4) For the given relation (set of ordered pairs): {(0,3), (-2,4), (1, 5), (4, -3), (-1, -3)} o Write the relation as TABLE. o Write the relation as a MAPPING. X Y X Y 0 3 0 3 -2 4 1 5 -2 4 4 -3 1 -1 -3 5 4 o What is the DOMAIN and RANGE of the relation? -3 -1 Domain = {0, -2, 1, 4, -1} Range = {3, 4, 5, -3} o What is the INVERSE of the relation? Inverse = {(3,0), (4, -2), (5, 1), (-3, 4), (-3, -1)} 5) Find the SOLUTION SET given the replacement set {(0, -2), (-1, 4), (3, 2), (1, 1), (2, 4)} and equation y = 3x – 2. X Y Equation y = 3x -2 Solution? 0 -2 -2 = 3(0) – 2 Yes -1 4 4 = 3(-1) – 2 No 3 2 2 = 3(3) – 2 No 1 1 1 = 3(1) – 2 Yes 2 4 4 = 3(2) – 2 Yes o Write the SOLUTION SET from as a TABLE. X Y 0 -2 1 1 2 4 o Write the SOLUTION SET from as a MAPPING. X Y 0 1 2 -2 1 4 o Write the INVERSE of the solution set as ordered pairs. Inverse of Solution Set = {(-2, 0), (1, 1), (4, 2)} 6) Solve the equation 4x + 2y = 8 for the given domain = {-3, -1, 0, 2, 4}. X 4x + 2y = 8 or y = 4 – 2x Y -3 4 – 2(-3) 10 -1 4 – 2(-1) 6 0 4 – 2(0) -2 2 4 – 2(2) 2 4 4 – 2(4) 0 o Write the SOLUTION SET from as a set as ordered pairs. Solution Set: (-3, 10), (-1, 6), (0, 4), (2, 0), (4, -4) o Write the INVERSE of the solution set as TABLE. X Y 10 -3 6 -1 4 0 0 2 -4 4 o Write the INVERSE of the solution set as MAPPING. X 10 6 4 0 -4 Y -3 1 0 2 4