0. Review of College Algebra

Basics of Graphing

Textbook Question
For the points P and Q, find (a) the distance d(P, Q)and (b) the coordinates of the midpoint M of line segment PQ. See Examples 1 and 2.P(-5, -6), Q(7, -1)
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Multiple Choice
Graph the equation $y-x^2+3=0$ by choosing points that satisfy the equation.
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Multiple Choice
Graph the equation $y=\sqrt{x}+1$ by choosing points that satisfy the equation. (Hint: Choose positive numbers only)
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Textbook Question
CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence.The point (-1, 3)lies in quadrant ________ in the rectangular coordinate system.
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Textbook Question
CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence.The point (4, ________) lies on the graph of the equation y = 3x - 6.
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Textbook Question
CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence.The midpoint of the segment joining (0, 0)and (4, 4)is ________.
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Textbook Question
CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence.The circle with equation x² + y² = 49has center with coordinates ________ and radius equal to _______.
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Textbook Question
CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence.The circle with center (3, 6)and radius 4 has equation _________.
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Textbook Question
For the points P and Q, find (a) the distance d(P, Q)and (b) the coordinates of the midpoint M of line segment PQ. See Examples 1 and 2.P(8, 2), Q(3, 5)
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Textbook Question
For the points P and Q, find (a) the distance d(P, Q)and (b) the coordinates of the midpoint M of line segment PQ. See Examples 1 and 2.P(-6, -5), Q(6, 10)
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Textbook Question
Concept Check Graph the points on a coordinate system and identify the quadrant or axis for each point.(3, 2)
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Textbook Question
Concept Check Graph the points on a coordinate system and identify the quadrant or axis for each point.(-7, -4)
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Textbook Question
Concept Check Graph the points on a coordinate system and identify the quadrant or axis for each point.(0, 5)
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Textbook Question
Concept Check Graph the points on a coordinate system and identify the quadrant or axis for each point.(4.5, 7)
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Textbook Question
For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 3 and 4.y = ½ x - 2
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