Deck 2: Equations, Inequalities, and Mathematical Modeling
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Deck 2: Equations, Inequalities, and Mathematical Modeling
1
Write the standard form of the equation of the circle with the given characteristics. center:
; solution point: 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)


2
Find the center and radius of the circle
.
A) center:
, radius: 4
B) center:
, radius: 4
C) center:
, radius: 6
D) center:
, radius: 6
E) center:
, radius: 6

A) center:

B) center:

C) center:

D) center:

E) center:

center:
, radius: 6

3
Solve the equation
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


4
Determine whether the equation
is an identity or a conditional equation. If conditional, indicate the condition.
A) conditional with
satisfying the equation
B) conditional with
satisfying the equation
C) identity
D) conditional with no solution
E) conditional with
satisfying the equation

A) conditional with

B) conditional with

C) identity
D) conditional with no solution
E) conditional with

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5
Write the standard form of the equation of the circle with the given characteristics. center:
; radius: 4
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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6
Determine whether the equation
is an identity or a conditional equation. If conditional, indicate the condition.
A) conditional with
satisfying the equation
B) conditional with
satisfying the equation
C) identity
D) conditional with
satisfying the equation
E) conditional with no solution

A) conditional with

B) conditional with

C) identity
D) conditional with

E) conditional with no solution
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7
Determine whether the equation
is an identity or a conditional equation. If conditional, indicate the condition.
A) conditional with
satisfying the equation
B) conditional with
satisfying the equation
C) conditional with
satisfying the equation
D) conditional with no solution
E) identity

A) conditional with

B) conditional with

C) conditional with

D) conditional with no solution
E) identity
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8
Determine which point does not lie on the graph of the equation
.
A) (-14, -22)
B) (-16, -24)
C) (-5, -13)
D) (-8, -13)
E) (-12, -20)

A) (-14, -22)
B) (-16, -24)
C) (-5, -13)
D) (-8, -13)
E) (-12, -20)
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9
Find the x- and y-intercepts of the graph of the equation
.
A) x-intercept: (7, 0) y-intercept: (0, -7)
B) x-intercept: (49, 0) y-intercept: (0, 7)
C) x-intercept: (-7, 0) y-intercept: (0, -49)
D) x-intercept: (49, 0) y-intercept: (0, 49)
E) x-intercept: (7, 0) y-intercept: (0, 49)

A) x-intercept: (7, 0) y-intercept: (0, -7)
B) x-intercept: (49, 0) y-intercept: (0, 7)
C) x-intercept: (-7, 0) y-intercept: (0, -49)
D) x-intercept: (49, 0) y-intercept: (0, 49)
E) x-intercept: (7, 0) y-intercept: (0, 49)
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10
Use algebraic tests to check the following for symmetry with respect to the axes and the origin. 
A) Symmetric with respect to the origin.
B) No symmetry.
C) Symmetric with respect to the y-axis.
D) Symmetric with respect to the x-axis.

A) Symmetric with respect to the origin.
B) No symmetry.
C) Symmetric with respect to the y-axis.
D) Symmetric with respect to the x-axis.
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11
Assume the graph has the indicated type of symmetry. Sketch the complete graph.
symmetric with respect to the origin
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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12
Find the x- and y-intercepts of the graph of the equation
.
A) x-intercept:
y-intercept: none
B) x-intercept:
y-intercept: 
C) x-intercept:
y-intercept: none
D) x-intercept:
y-intercept: 
E) x-intercept:
y-intercept: none

A) x-intercept:

B) x-intercept:


C) x-intercept:

D) x-intercept:


E) x-intercept:

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13
Write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter:
, 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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14
Use algebraic tests to check the following for symmetry with respect to the axes and the origin. 
A) No symmetry.
B) Symmetric with respect to the y-axis.
C) Symmetric with respect to the origin.
D) Symmetric with respect to the x-axis.

A) No symmetry.
B) Symmetric with respect to the y-axis.
C) Symmetric with respect to the origin.
D) Symmetric with respect to the x-axis.
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15
Find the center and radius of the circle
.
A) center:
, radius 7
B) center:
, radius 49
C) center:
, radius 7
D) center:
, radius 49
E) center:
, radius 7

A) center:

B) center:

C) center:

D) center:

E) center:

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16
Create and complete a table to find the x and y coordinates of points that lie on the graph of the equation below. Plot at least 5 points along with the graph of the equation.

A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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17
Determine which point lies on the graph of the equation
.
A) (1, 6)
B) (2, 6)
C) (1, 4)
D) (3, 5)
E) (2, 4)

A) (1, 6)
B) (2, 6)
C) (1, 4)
D) (3, 5)
E) (2, 4)
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18
You purchase a jet ski for $10,000. The depreciated value, y, after x years is given by
. Sketch the graph of the equation given
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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19
Find the x- and y-intercepts of the graph of the equation
.
A) x-intercept:
y-intercept: 
B) x-intercept:
y-intercept: 
C) x-intercept:
y-intercept: 
D) x-intercept:
y-intercept: 
E) x-intercept:
y-intercept: none

A) x-intercept:


B) x-intercept:


C) x-intercept:


D) x-intercept:


E) x-intercept:

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20
Find the x- and y-intercepts of the graph of the equation
.
A) x-intercept:
y-intercept: 
B) x-intercept:
y-intercept: 
C) x-intercept:
y-intercept: 
D) x-intercept:
y-intercept: 
E) x-intercept:
y-intercept: 

A) x-intercept:


B) x-intercept:


C) x-intercept:


D) x-intercept:


E) x-intercept:


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21
Solve the equation
.
A) 6
B) 5.25
C) 21
D) 10.5
E) 2.625

A) 6
B) 5.25
C) 21
D) 10.5
E) 2.625
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22
Use the Quadratic Formula to solve the equation
(Round your answer to three decimal places.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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23
Solve the equation
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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24
Solve the equation
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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25
Write the following quadratic equation in standard form. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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26
Solve the equation 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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27
Solve the equation
by extracting square roots.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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28
Solve the equation
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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29
Solve the equation
by extracting square roots.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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30
Use the Quadratic Formula to solve
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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31
Solve the equation
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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32
Use the Quadratic Formula to solve
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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33
Solve the equation 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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34
Use the Quadratic Formula to solve
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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35
Solve the equation
by extracting square roots.
A)
B)
C)
D) no solution
E)

A)

B)

C)

D) no solution
E)

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36
Write the following quadratic equation in standard form. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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37
Write the following quadratic equation in standard form. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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38
Solve the following quadratic equation by factoring. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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39
Solve the following quadratic equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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40
Solve the following quadratic equation by completing the square. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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41
Solve the following quadratic equation using any convenient method. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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42
Find all solutions to the following equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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43
Find all solutions to the following equation.

A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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44
Find all solutions to the following equation. 
A) no solution
B)
C)
D)
E)

A) no solution
B)

C)

D)

E)

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45
Find all solutions to the following equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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46
Find all solutions to the equation
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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47
Solve the equation and write complex solutions in standard form. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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48
Find all solutions to the following equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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49
Solve the following quadratic equation using any convenient method. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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50
Find all solutions to the equation
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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51
Find all solutions to the following equation. 
A)
B) no solution
C)
D)
E)

A)

B) no solution
C)

D)

E)

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52
Find all solutions to the following equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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53
Solve the equation and write complex solutions in standard form. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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54
Use the Quadratic Formula to solve the equation
(Round your answer to three decimal places.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
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