Deck 15: Quadratic and Other Nonlinear Equations and Inequalities
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Deck 15: Quadratic and Other Nonlinear Equations and Inequalities
1
Arrange the quadratic equation in standard form: 
A)
B)
C)
D)

A)

B)

C)

D)


2
Arrange the quadratic equation in standard form: 
A)
B)
C)
D)

A)

B)

C)

D)


3
Arrange the quadratic equation in standard form: 
A)
B)
C)
D)

A)

B)

C)

D)


4
Solve the following quadratic equation:


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5
Identify the equation as pure quadratic, incomplete quadratic, complete quadratic, or not quadratic: 
A)Not quadratic
B)Complete quadratic
C)Pure quadratic
D)Incomplete quadratic

A)Not quadratic
B)Complete quadratic
C)Pure quadratic
D)Incomplete quadratic
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6
Identify the equation as pure quadratic, incomplete quadratic, complete quadratic, or not quadratic: 
A)Complete quadratic
B)Pure quadratic
C)Not quadratic
D)Incomplete quadratic

A)Complete quadratic
B)Pure quadratic
C)Not quadratic
D)Incomplete quadratic
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7
Arrange the quadratic equation is standard form: 
A)
B)
C)
D)

A)

B)

C)

D)

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8
Solve the following quadratic equation:


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9
Solve the following quadratic equation:


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10

A)linear
B)other
C)quadratic
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11
Identify a, b, and c after arranging the equation in standard form: 
A) a=7,b=0,c=-3
B) a=3,b=0,c=7
C) a=3,b=0,c=-7
D) a=3b=-7,c=0

A) a=7,b=0,c=-3
B) a=3,b=0,c=7
C) a=3,b=0,c=-7
D) a=3b=-7,c=0
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12

A)linear
B)other
C)quadratic
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13
Identify a, b, and c after arranging the equation in standard form: 
A) a=-5,b=-2,c=7
B) a=5,b=2,c=-7
C) a=5,b=2,c=7
D)

A) a=-5,b=-2,c=7
B) a=5,b=2,c=-7
C) a=5,b=2,c=7
D)

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14
Identify the equation as pure quadratic, incomplete quadratic, complete quadratic, or not quadratic: 
A)Complete quadratic
B)Pure quadratic
C)Incomplete quadratic
D)Not quadratic

A)Complete quadratic
B)Pure quadratic
C)Incomplete quadratic
D)Not quadratic
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15
Identify a, b, and c after arranging the equation in standard form: 
A)
b=_6x,c=3
B) a=9,b=-6,c=-3
C) a=3b=-9,c=-6
D)a=9,b=-6,c=3

A)

B) a=9,b=-6,c=-3
C) a=3b=-9,c=-6
D)a=9,b=-6,c=3
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16
Identify a, b, and c after arranging the equation in standard form: 
A)a = 2, b = -1, c = 0
B)a = 1, b = -2, c = 0
C)a = 2, b = 0, c = -1
D)a = 1, b = 0, c = -2

A)a = 2, b = -1, c = 0
B)a = 1, b = -2, c = 0
C)a = 2, b = 0, c = -1
D)a = 1, b = 0, c = -2
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17
Identify the equation 2x + y = 6 as linear, quadratic, or other.
A)other
B)quadratic
C)linear
A)other
B)quadratic
C)linear
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18
Arrange the quadratic equation in standard form: 
A)
B)
C)
D)

A)

B)

C)

D)

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19
Write the equation in standard order and identify the coefficients that represent a, b, and c: 

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20
Write the equation in standard order and identify the values that represent a,b, and c:
=Bx + r²
A)
B)
C)
D)

A)

B)

C)

D)

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21
Solve the quadratic equation: 
A)x = 6, -6
B)x = 36
C)x = 36, -36
D)x = 6

A)x = 6, -6
B)x = 36
C)x = 36, -36
D)x = 6
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22
Solve the following quadratic equation:


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23
Solve the following quadratic equation:


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24
Solve the quadratic equation, rounding to thousandths when necessary: 
A)x=4,-4
B)X=2,-2
C)x=16,-16
D)

A)x=4,-4
B)X=2,-2
C)x=16,-16
D)

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25
Solve the following quadratic equation:


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26
Solve the equation with a squared term: 
A)x = ±3
B)x = 6
C)x = ±6
D)x = 3

A)x = ±3
B)x = 6
C)x = ±6
D)x = 3
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27
Solve the following equation (round to the nearest thousandth):


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28
Solve the equation involving a square: 
A)x = ±5
B)x = 12.5
C)x = ±12.5
D)x = 5

A)x = ±5
B)x = 12.5
C)x = ±12.5
D)x = 5
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29
Solve the following quadratic equation:


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30
Solve the quadratic equation, rounding to thousandths when necessary: 
A)x = 0.57, -0.57
B)x = 5.74, -5.74
C)x = 1.75, -1.75
D)x = 1.75

A)x = 0.57, -0.57
B)x = 5.74, -5.74
C)x = 1.75, -1.75
D)x = 1.75
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31
Solve the equation with a squared term: 
A)
B)
C)
D)

A)

B)

C)

D)

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32
Solve the following equation:


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33
Solve the following equation:


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34
Solve the following equation:


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35
Solve the following quadratic equation:


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36
Solve the following equation:


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37
Solve the equation with a squared term: 
A)x = ±7
B)x = 7
C)x = 4.950
D)x = ±8.270

A)x = ±7
B)x = 7
C)x = 4.950
D)x = ±8.270
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38
Solve the following quadratic equation:


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39
Solve the following quadratic using any method:



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40
Solve the equation involving a square: 2a2 - 3= 15
A)x = ±4.24
B)x = ±3
C)x = 4.24
D)x = 3
A)x = ±4.24
B)x = ±3
C)x = 4.24
D)x = 3
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41
Solve the following quadratic equation:


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42
Solve the following quadratic equation:


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43
Solve the following quadratic equation:


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44
Solve the following quadratic equation:


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45
Solve the quadratic equation, rounding to thousandths when necessary: 
A)
B)
C)
D)

A)

B)

C)

D)

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46
Solve the following quadratic equation:


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47
Solve the following quadratic equation:


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48
Solve the equation involving a square: 
A)
B)
C)
D)

A)

B)

C)

D)

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