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Miscellaneous ME
100

Write an absolute or compound inequality for the graph. 

|x - 7| < 2

5<x< 9

x >5 ; x < 9

100

Solve the multistep problem. 

3(7x - 4) + 10 = 10x + 7 + 8x

x =3

100

Simplify the expression and write your final answer in standard form. 

5x^2+3x-2(x - 6)+3x^2

8x^2+ x+12

100

What is the following expression equal to?

i^31

-i

100

What would be the end behavior of the following polynomial?

f(x) = -2x^5 + 3x^4 - 7x^2 - 11

Up/Down

200

Write the equation of the line graphed in slope-intercept form. 

y = 1/2x + 2

200

Solve the absolute value. Remember there are two answers. 

|x - 4| + 3 = 8

x = 9 " & " x = -1

200

Simplify the expression. Write your final answer as 

a + bi

2i(6 + 8i)

-16 + 12i

200

The following are examples of what type of numbers?

pi, sqrt5, 6.37926...

Irrational numbers

200

What are the roots of the polynomial?

f(x) = x(x - 4)(x + 6)(x - 1)^2

x = 0, " " x = 4, " " x = -6, " " x = 1

300

What is the vertex of the quadratic when graphed?

y = -3(x + 7)^2 - 11

 


( -7, -11)

300

Solve the inequality. 

6 - 3y >=2y + 1

y <= 1

300

Write the equation in slope-intercept form.

5x - 2y = 12

y = 5/2x-6

300

Name the parent function for the given equation. 

f(x) = sqrt(x + 3)

Square Root Function 

300

Describe the transformation of the parent function. 

f(x) = -|x - 3| + 6

Absolute Value that is 1st Reflected down, 2nd shifted right 3, 3rd shifted up 6. 

400

What is the solution of the systems given in the graph?

y = 4x + 3 ; y = -x - 2

(-1, -1) or x = -1; y = -1

400

Solve the linear system algebraically. 

y = 3x

2x + 4y = -28


x = -2; " "y = -6; " "(-2, -6)

400

Multiply the binomials. Write your answer in Standard Form. 

(2x + 3)(x - 7)

2x^2 - 11x - 21

400

What is the Quadratic Formula?

x = (-b +- sqrt(b^2 - 4ac)) / (2a)

400

Given:

f(x) = x + 3

g(x) = 5x - 7

Find: 

(f+ g)(2) = 

(f+ g)(2) = 8

500

Graph a sketch of the following graph using its degree and leading coefficient. 

f(x) = -4x^5+3x^2 + 11

Answers vary. One example: 

500

Solve the quadratic equation. 

x^2- 2x-15 = 0

x = 5," " x = -3 

500

Factor the Trinomial. 

x^2+14x+33

(x + 11)(x + 3)

500

Are the following lines Parallel, Perpendicular, or Neither? 

y = 3x - 5

y = 1/3x - 5

Neither

500

x and y have an inverse variation, if when x = 1, y = 10 find y when x = 2?

y = 10/x

y = 10/ 2 = 5