Exam Prep Graphs Chapter 2 - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.
College Algebra, 5e (Young)
Chapter 2 Graphs
2.4 Circles
1) Find the equation of the circle with radius 4 and center (-6, -3) in standard form.
A) 
+ 
= 16
B) 
+ 
= 4
C) + = 16
D) + = 4
Diff: 1 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Identify the center and radius of a circle from the standard equation.
2) Find the equation of the circle with radius 8 and center (-5, 6) in standard form.
A) 
+ 
= 64
B) + 
= 64
C) + = 8
D) 
+ = 64
Diff: 1 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Identify the center and radius of a circle from the standard equation.
3) Find the equation of the circle with radius 6
and center (20, -1) in standard form.
A) 
+ 
= 468
B) 
+ 
= 468
C) + = 6
D) + = 78
Diff: 2 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Identify the center and radius of a circle from the standard equation.
4) Find the equation of the circle with radius 2
and center (0, 0) in standard form.
A) x + y = 2
B) 
+ 
= 6
C) + = 12
D) + = 2
Diff: 2 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Identify the center and radius of a circle from the standard equation.
5) Find the center and radius of the circle with equation 
+ 
= 2.
A) center = (13, -4), r = 4
B) center = (13, -4), r = 2
C) center = (-13, 4), r = 2
D) center = (-13, 4), r = 4
Diff: 1 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Identify the center and radius of a circle from the standard equation.
6) Find the center and radius of the circle with equation 
+ 
= 175.
A) center = (9, -18), r = 175
B) center = (9, -18), r = 5
C) center = (-9, 18), r = 175
D) center = (-9, 18), r = 5
Diff: 2 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Identify the center and radius of a circle from the standard equation.
7) Find the center and radius of the circle with equation + - 12 = 0.
A) center (0, 0), r = 6
B) center (0, 0), r = 0
C) center (0, 0), r = 4
D) center (0, 0), r = 12
Diff: 2 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Identify the center and radius of a circle from the standard equation.
8) Find the center and radius of the circle with equation + 
= 64.
A) center (0, -2), r = 64
B) center (0, 2), r = 64
C) center (0, 2), r = 8
D) center (0, -2), r = 8
Diff: 1 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Identify the center and radius of a circle from the standard equation.
9) Find the center and radius of the circle with equation 
+ = 12.
A) center = (-4, 0), r = 12
B) center = (-4, 0), r = 2
C) center = (4, 0), r = 12
D) center = (4, 0), r = 2
Diff: 2 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Identify the center and radius of a circle from the standard equation.
10) The point (4, 0) lies on a circle centered at (-2, 3). Find the equation of the circle in standard form.
A) 
+ = 45
B) + = 36
C) 
+ = 45
D) + = 36
Diff: 2 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Graph a circle.
11) The point (4, -5) lies on a circle centered at (0, 2). Find the equation in standard form.
A) + 
= 65
B) + = 65
C) + = 65
D) + = 65
Diff: 2 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Graph a circle.
12) The point (-5, -1) lies on a circle centered at (3, 2). Find the equation of the circle in standard form.
A) 
+ = 73
B) 
+ = 73
C) + = 3
D) + = 73
Diff: 2 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Graph a circle.
13) Find the equation of the circle with radius 7 and center (17, -3) in standard form.
Diff: 1 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Identify the center and radius of a circle from the standard equation.
14) Find the center and radius of the circle with equation + = 1.
Diff: 1 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Identify the center and radius of a circle from the standard equation.
15) Transform the equation + + 20x + 10y + 121 = 0 into standard form by completing the square. State the center and radius.
Diff: 3 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Transform equations of circles to the standard form by completing the square.
16) If a cellular phone tower has a reception radius of 230 miles and you live 20 miles south and 100 miles west of the tower, can you use your cell phone while at home?
Diff: 2 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Graph a circle.
17) State the center and radius of the equation + + 16x - 10y + 85 = 0.
Diff: 3 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Transform equations of circles to the standard form by completing the square.
18) State the center and radius of the equation + + 6x + 14y + 22 = 0.
Diff: 3 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Transform equations of circles to the standard form by completing the square.
19) Express the equation + + 10x + 6y + 25 = 0 in standard form.
Diff: 3 Var: 1
Chapter/Section: Ch 02, Sec 04
Learning Objective: Transform equations of circles to the standard form by completing the square.
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