Mixed Review 1
Mixed Review 2
Mixed Review 3
Mixed Review 4
Mixed Review 5
100

What types of transformations are occuring?

-4f(x+5)

Horizontal shift left 5

Reflection over the x-axis

Vertical Stretch by a factor of 4

100

Find the area of the following triangle.  Round to the nearest hundredth.

16.78 in2

100

Write the equation given the x-intercepts are 3 & 5 with a vertex of (4, 3). 

y = -3(x-3)(x-5) or y = -3x2 + 24x - 45

100

                                               

Find a possible value of x so that 4 < log x < 5. 

NO calculator

                                   


    

x can be any number between 10,000 and 100,000

100

Find the altitude of an equilateral triangle if the side lengths are 20 units. 

 10sqrt3 units

200

Find the missing side lengths

 sqrt2 for both legs

200

Solve the following:  6x2 - 4x = 2 +3x

 x = (7+-sqrt97)/12 

200

Solve:     9(103x+2)=90,000

                                   


    

x =  2/3 

200

Mountain officials want to build a new ski lift from B to C, as shown in the figure below. The distance from A to C is 1520 feet. They measure angle DAC to be 38° and angle DBC to be 25°. What is the distance from A to B? Round your answer to the nearest tenth of a foot.

809.1 ft

200

What is the area of a square with a diagonal length of 24 units. 

Area = 288 units2

300

Factor 5x2 + 15x - 50 

5(x+5)(x-2)

300

Given f(x) = 2x2 - x, write the equation g(x) when the following transformations occur.  Write in terms of x.

Horizontal translation 5 right

Vertical translation 3 down

g(x) = 2(x - 5)2 - (x - 5) - 3

300

Find the angle of depression from the top of a lighthouse that is 200 ft above water level to the waterline of a ship 1191 ft offshore. Round your answer to the nearest tenth of a degree.


9.5 degrees

300

Keiko wants to know the length of a tunnel built through a mountain. To do so, she makes the measurements shown in the figure below. Use these measurements to find the length of the tunnel. Round to the nearest hundredth.


268.11 m

300

10log x  is equal to _______

x

400

You are looking up at the school building and wondering how tall it really is.  You sight the top of it standing on the ground with an angle of elevation of 53 degrees.  You are 47.3 meters from the base of the front of the building.  How tall is the building if you are 1.75 meters tall? 

The total height of the building is about 64.52 meters

400

Solve 4x2 + 7x = 15

x =  5/4  or x = -3

400

Solve  806 = 8(102x-1) + 6

x =  3/2 

400

Write a quadratic equation in standard form if the x-intercept is 4 and the y-intercept is 8.

y = 1/2 x^2 -4x + 8

400

Factor 4x3 - 22x2 - 12x 

2x(2x +1)(x - 6)
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