Solve

Simplify

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

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

Solve

15

Write the inequality that matches this graph

Solve

X = 1 and x = -2

Simplify

Which of the following numbers are rational and real?

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

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

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

Solve the system using substitution or elimination

(4,3)

How many solutions does the system below have? Explain.

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

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

-15

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

Express in standard form

Write the inequality that matches this graph

What is the x-intercept, y- intercept, and the slope of the line below?

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

Solve the inequality

Which of the following is direct variation?

A

Which of the following is a vertical line?

C

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

Find the equation for the inverse of the function below

Solve. Give exact simplified answers.

Solve the absolute value inequality below.

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

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 ≤5 Objective Function: P = 3x+2y Corner 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.

Create a quartic polynomial in standard form that has a repeated zero of 1 and a zero of

Reduce

Algebraically find the vertex of the quadratic function below

(1, -4)

When is the function increasing?

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

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

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

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

Determine the domain and range of the function below.

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

Sketch a graph of the piecewise function

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 below

No Solution

Solve

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 function a) 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?

 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 function

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

Write the equation of the line in slope-intercept form that goes through these two points: (-7, -1) and (5, 7)

Simplify the expression below

Which property is illustrated by = 0 a) Associative b) Commutative c) Distributive d) Identity e) Inverse

Inverse property of addition

Write the system of inequalities that matches this graph

Put into standard form

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