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Simplifying Polynomials
Multiplying Binomials
Evaluating Functions
Solving Proportions
100

Simplify log24096 - 2/3 (Write your answer as decimal, improper fraction, and mixed number)

11.333...

34/3

11 1/3

100

What is the value of 3(x+2) - 6

3x

100

Simplify:

(x+3)(x-7)

x2 - 4x - 21

100

If f(x) = -8x2 , What is f(-3)?

-72

100

For what value of x is the equation  9/x  = 6/10 true?

15

200

Simplify:

5- 4 * ((3+2)2 / 5)

105

200

What is the result of 

x2 + 4x - 7 +3x- 2x + 5

4x2 + 2x - 2

200

(2x + 5)(x - 3) = ?

2x2 - x - 15

200

If f(x) = 3x2 - 2x + 5, then find f(-3) + f(1).

44

200

At a small smoothie business, 6 liters of smoothie are used to fill 8 bottles of the same size. On a busy day, the owner needs to prepare 18 bottles. Using the same ratio, how many liters of smoothie should be prepared?

13 1/2 or 27/2

300

Simplify (Write your answer as decimal, improper fraction, and mixed number.):

45 - 3 * (-1/4)2 + 4  2/5

49.2125

3937/80

49 17/80

300

For all real values of y,  3 - 2(4-y) = ?

2y - 5

or -5 + 2y

300

(4x - 1)(x + 6) = ?

4x2 + 23x - 6

300

If f(x) = 3x - 7 and g(x) = 3x/2x , find g(f(6))

3/2 or 1.5

300

To make a light purple paint, a blend of 3 parts blue paint to 7 parts white paint is used. If an artist uses 12 parts blue paint, how many parts white paint will she need to maintain the same color ratio?

28

400

Simplify:

122 - 3  4/5 * |-12+2| /  1/2 - |-7|

61

400

What is the result of:

6(b-3) - 2(4b+1)

-2b - 20

400

(5x+2)(2x-3) = ?

10x2 - 11x - 6

400

If f(t) = t3 - 1 and g(t) = 5t + 2, find g(f(-2))

-43

400

A student notices that a 6-foot metal pole casts a 4-foot shadow in the afternoon sun. At the same time, a flagpole nearby casts a 10-foot shadow. If the triangles formed are similar due to the same angle of sunlight, what is the height of the flagpole?

15

500

What is the solution to 2 - 3/x = x/x+4   ? (There may be more than 1!)

1.772

-6.772

500

What is the value of  -3(2x - 4) +2(x+5) ?

-4x + 22

or 22 - 4x

500

If (5x-2)2 is written as ax2 + bx + c, what is the value of a + b - c? 

1

500

If f(x) = 5x + 2 and g(x) = x2 - 3, find f(g(x))

5x2 - 13

500

The length of corresponding sides of two similar right triangles are in the ratio 3:7. If the hypotenuse of the larger triangle is 13 inches, what is the length of the hypotenuse of the full-size version?

5 4/7

39/7

5.57

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