Deck 2: Equations and Inequalities
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Deck 2: Equations and Inequalities
1
Solve. Express your answer using interval notation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


2
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


3
Find all real solutions. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


4
Data from the Apollo 11 moon mission in July Error in evaluating expression: helpvar2 showed temperature readings on the lunar surface varying over the interval
on the Celsius scale. What is the corresponding interval on the Fahrenheit scale? (Round the numbers you obtain to the nearest integers.) Express your answer using interval notation.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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5
Solve. Express your answer using interval notation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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6
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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7
Find a quadratic equation with the roots of
. Write the answer in the form
where a, b, and c are integers and
.
A) x 2 + 4x + 1 = 0
B) x 2 - x-1 = 0
C) x 2 - 2x-1 = 0
D) x 2 + x-2 = 0
E) x 2 + 2x -1 = 0



A) x 2 + 4x + 1 = 0
B) x 2 - x-1 = 0
C) x 2 - 2x-1 = 0
D) x 2 + x-2 = 0
E) x 2 + 2x -1 = 0
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8
Solve. Express your answer using interval notation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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9
Find all real solutions. x 4 + x 2 - 4 = 0
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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10
Use the graph to solve the inequality.

A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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11
Solve the equation. 
A)
B)
C)
D)
E) The equation has no real roots.

A)

B)

C)

D)

E) The equation has no real roots.
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12
Solve the equation. 
A)
B)
C)
D)
E) The equation has no real roots.

A)

B)

C)

D)

E) The equation has no real roots.
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13
Find all real solutions. 3y 2 = 4 - y 4
A) y = - 3, 4, 1
B) y = - 4, - 1
C) y = 1, - 1
D) y = 3, 1
E) y = 3, - 4
A) y = - 3, 4, 1
B) y = - 4, - 1
C) y = 1, - 1
D) y = 3, 1
E) y = 3, - 4
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14
Solve. Express your answer using interval notation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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15
Solve. Express your answer using interval notation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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16
Solve. Express your answer using interval notation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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17
Solve. Express your answer using interval notation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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18
Solve. Express your answer using interval notation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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19
Solve. Express your answer using interval notation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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20
A ball is thrown straight upward. Suppose that the height of the ball at time t is given by the formula h = - 18t 2 + 126t, where h is in feet and t is in seconds, with t = 0 corresponding to the instant that the ball is first tossed. At what time(s) does the ball reach a height of 108 ft?
A) 1 sec, 6sec
B) 4 sec
C) 3 sec
D) 8 sec
E) 3 sec, 8sec
A) 1 sec, 6sec
B) 4 sec
C) 3 sec
D) 8 sec
E) 3 sec, 8sec
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21
Solve the inequality. Express your answer in interval form. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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22
Solve the inequality. Express your answer in interval form. 
A)
B)
C)
D)
E) no solution

A)

B)

C)

D)

E) no solution
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23
Solve the inequality. Express your answer in interval form. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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24
Solve the inequality. Express your answer in interval form. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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