# Wiley Edge Equations Quiz-1

Question 1

Time: 00:00:00
A cyclist travels from Town X to Town Y at a speed of 20 km/h and returns to Town X at a speed of 30 km/h. If the total travel time is 5 hours, what is the distance between the two towns?

900 km

900 km

600 km

600 km

705 km

705 km

810 km

810 km

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Question 2

Time: 00:00:00
Simplify the expression: 3(2x - 4) + 5x = 20.

x = 3

x = 3

x = 4

x = 4

x = 5

x = 5

x = 6

x = 6

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Question 3

Time: 00:00:00
If $3y^{2}$ - 12 = 0, what is the value of $y^{2}$?

4

4

3

3

2

2

6

6

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Question 4

Time: 00:00:00
A boat travels downstream from Point A to Point B in 2 hours. The same boat, when traveling upstream from Point B to Point A, takes 3 hours. If the speed of the stream is 5 km/h, what is the speed of the boat in still water?

10 km/h

10 km/h

12 km/h

12 km/h

15 km/h

15 km/h

20 km/h

20 km/h

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Question 5

Time: 00:00:00
Solve for x in the equation:
$2x^{2}+5x-3=0$

x=1 and x=-1.5

x=1 and x=-1.5

x = 2 and x = -1.5

x = 2 and x = -1.5

x= -3 and x= 0.5

x= -3 and x= 0.5

x= 3 and x=-1

x= 3 and x=-1

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Question 6

Time: 00:00:00
Solve for $x: √(2x + 5) + 3 = 2x - 1$.

x = 2.45

x = 2.45

x = 3.81

x = 3.81

x = 4.63

x = 4.63

x = 5

x = 5

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Question 7

Time: 00:00:00
If $3e^{(2x)} + 5 = 17$, what is the value of x?

$x = \frac{\ln4 }{2}$

$x = \frac{\ln4 }{2}$

$x = \frac{\ln4 }{3}$

$x = \frac{\ln4 }{3}$

x = -1

x = -1

x = 2

x = 2

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Question 8

Time: 00:00:00
Solve for in the equation:
$log_{2}(x+3)+log_{2}(-1)=3$

$x= -1-4{\sqrt{3}}$

$x= -1-4{\sqrt{3}}$

$x= -1-2{\sqrt{3}}$

$x= -1-2{\sqrt{3}}$

$x= -1-3{\sqrt{3}}$

$x= -1-3{\sqrt{3}}$

$x= 1-2{\sqrt{3}}$

$x= 1-2{\sqrt{3}}$

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Question 9

Time: 00:00:00
Solve for $y: log_{2}(y + 3) + log_{y} = 4$.

y=4

y=4

y=5

y=5

y=6

y=6

y=7

y=7

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Question 10

Time: 00:00:00
If $2^{(x + 1)} + 2^{(x)} = 24$, what is the value of x?

x=2

x=2

x=3

x=3

x=4

x=4

x=5

x=5

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