solve simplify write the equation of the line that goes through (4,5) and is perpendicular to

Solve 15 1 3 7

2x x

211

x

Simplify34

0 92

2x y x yy

12

12

8xy

Write the equation of the line that goes through

(4,5) and is perpendicular to 8 17x y

8 27y x

y varies directly with x and y is -3 when x is 6.

Write the equation.

12

y x

Solve2 7 33x

15

Write the inequality that matches this graph

1x

Solve

10 5 7 8x

X = 1 and x = -2

Simplify

2 03 4 9 7a b a b

6

8

ab

Which of the following numbers are rational and

real?2 0.61 153

0.72159..... 9 4i

2 0.61 93

Let f(x) and g(x) be the functions below and find (g-f)(x) in standard form

2

( ) 3 4

( ) 2 3

f x x

g x x x

22 4x

Let f(x) and g(x) be the functions below and find f(g(x))in standard form

2

( ) 3 4

( ) 2 3

f x x

g x x x

26 9 4x x

Let f(x) and g(x) be the functions below and find g(f(x))in standard form

2

10

( ) 2 5

f x x

g x x

22 40 195x x

Solve the system using substitution or elimination

7 5 132 3 17x yx y

(4,3)

How many solutions does the system below have?

Explain.3 2 66 4 8x yx y

None. Show the lines are parallel (same slope and different y-intercept) or

attempt to solve the system and show you get nonsense.

Rewrite the equation below to solve for C

32

A BC D

6D ACB

Determine the value of f(-3) for the function

22f x x x

-15

For what value(s) of x is the function defined? In other words, what is the domain of the function

below?

2

249

xf xx

7x

Express in standard form

2 5 6i i

12 10i

Write the inequality that matches this graph

2 4y x

What is the x-intercept, y-intercept, and the slope of

the line below?

2 4 16x y

X-intercept: (8,0)Y-intercept: (0,4)Slope = m = -½

Solve the inequality

4 2 1 3x

52

x

Which of the following is direct variation?

) 4) 7) 5

1) 32

A y xB yC x

D y x

A

Which of the following is a vertical line?

) 4) 7) 5

1) 32

A y xB yC x

D y x

C

Solve the proportion below. Please give an exact simplified answer.

2 1 14x

x

1 334

Find the equation for the inverse of the function below

1 62

f x x

1 2 6 2 12f x x x

Solve. Give exact simplified answers.

21 2 103x

4 2x

Solve the absolute value inequality below.

2 3 1 6x

Make sure you can also graph the solution on a number line

1 4x

It takes 4 hours to make an X and it costs $1. It takes 6 hours to make a Y an it costs $1. You have up to 24 hours available and up to $5 to spend on materials. You make a profit of $3 off an X and $2 off a Y. Your goal is to maximize profit

Write the constraints, graph the feasible region, write the objective function, and determine what will maximize profit.

Constraints: x≥0, y ≥0, 4x+6y≤24, x+y ≤5Objective Function: P = 3x+2yCorner Points: (0, 0) (0, 4) (5, 0) (3, 2)Profit is maximized when x = 5 and y = 0

Given the polynomial below and its given zero, determine

ALL of the zeros. 3 23 27 9

13

f x x x x

zero of x

3x i

Create a quartic polynomial in standard

form that has a repeated zero of 1 and a zero of

4 i

4 3 26 2 26 17f x x x x x

Reduce

11i

i

Algebraically find the vertex of the quadratic function below

3 1f x x x

(1, -4)

When is the function increasing?

2

0

xandx

Algebraically create the equation in standard form that matches this graph.

3 23 4f x x x

You are using 300 ft of fencing to create a pen for your horse on the side of your barn. The barn acts as one of the sides so you only fence on three sides. If x is the width of the pen, determine the following

The length in terms of x The area in terms of x How large x should be in order to

maximize the area for the horse

2

300 2

2 30075

l x

A x xx ft

If (-3, 5) is a point of f(x) then what point must be on ) ( 1) 7) 4 ( )a f xb f x

a)(-4, -2)b)(3, 20)

Determine the domain and range of the function below.

2 3 4y x

Domain: {all real numbers}Range: { y≥4}

Sketch a graph of the piecewise function

1 11 1

x if xf x

x if x

A test has twenty questions worth 100 points.  The test consists of True/False

questions worth 3 points each and multiple choice questions worth 11

points each.  How many multiple choice questions and how many True/False questions are on the test? Assign

variables, write a system, and solve using substitution or elimination.

5 multiple choice 15 True/False

Solve the absolute value inequality below2 7 9 1x

No Solution

Solve3 28 4 2x x x

1 50,4

x

If a parabola contains the point (4, 7) and has an axis of

symmetry at x = 1, then based on symmetry what

other point must be on the parabola?

(-2,7)

Consider the functiona)Does it open up or down?b)Does it have a max or a min?c)What is the axis of symmetry?d)What is the vertex?e)What is the y-intercept?

22 1 3f x x

Up Minimum x = 1 (1, 3) (0, 5) You should also be able to sketch the graph!

Explain why the expression below is not a polynomial

function2 775 4 19.2y x ix x

x

There is a non-real coefficient of 4i and there is a negative

power on the variable since 7 divided by x is equal

to 17x

Write the equation of the line in slope-intercept form that

goes through these two points:

(-7, -1) and (5, 7)

2 113 3

y x

Simplify the expression below

21 2 3 2 4 65x y z x y z

4

25x

Which property is illustrated by-4 + 4 = 0

a) Associativeb) Commutative

c) Distributived) Identitye) Inverse

Inverse property of addition

Write the system of inequalities that matches this graph

2 253 32

y x

y x

Put into standard form4 71ii

11 32 2

i

Put into standard form 24 5 10 11 5 30i i i

Good luck on your midyear exam. In addition to the review sheets, please spend time redoing your quizzes and

tests from first semester.

6 21i