Tools test: You will have about 15 minutes to do about 15 problems, so plan on no more than a minute for each. About half will be from Cluster 3 of Chapter 1 and the other half will be review. If you are struggling to remember, write ‘don’t remember’ for the problem and move on. You can come back if you have time. You have 2 practice tests for week 3 under this same tab. Review them and check your answers under the answer tab. You have the Week 3 quiz and answers also. Below are some similar questions that might be included:
1. Make a relation using 4 points in table format for something that is NOT a function. Tell why.
2. If you have a point on the graph for a line at (0,3), and you know the slope of the line is -3/4, give the equation for this line
3. What does the verticle line test do and why does it work?
4. What is the slope of a line?
5. If f(x) = (3/2)x – 4, what is f(10)?
6. Your height is a function of your age. Express this using function notation
7. What is the practical domain for #6 above?
8. What is -2(-3)(-1) – (-4) + (-8)/2 + (-5)
9. If you have a 15 sided dice, a regular 6 sided dice, and a deck of cards, how many combinations of ‘codes’ can you have.. ie 11 (dice 1), 3 (dice 2), and Jack of Hearts (card) would be one ‘code’
10. How many ‘codes could you have with an even number for the 15 sided dice, an odd number for the 6 sided dice, and a 3 for the card (any suit)?
New: Tools Cluster 3
1. If you have 2 linear equations, describe how you could solve them using the graphing method and graph paper.
2. Solve the following for y: 3y/2 + 3x – 4 = y + x -7 Check on mathway.com Try other examples you make up
3. Make an equation f(months) = cost of the following: It costs you $500 deposit to get into your apartment, and then $650 per month
4. Solve these 2 equations for x and y: y = 2x + 1 and y = x + 5
5. What does it mean for a 3×3 system of equations to be ‘inconsistent’?
6. What happens to an inequality when you multiply both sides by a negative number?
7. Solve for x: -2 < x/3 + 1 < 5
8. Solve for x: 5 – x < 2(x-3) + 5
9. y = x when x is less than 5 but y=2x when x is bigger or equal to 5. Write this using piecewise function notation
10. Solve |x – 8 | = 6
11. Sketch a quick graph of | x – 2 | = y
In addition, at the end of class this Thursday we will have a 2-3 question quiz involving a problem solving activity, multi-step problem, or story problem. We will review some of these during class. Here are a few more examples. You have a couple more on the To Do list, Part 2 for Week 3. This quiz will be worth 20 points:
1. The sum of 3 numbers is 10. The first number plus the second number equals the third number. The third number equals three times the second number minus 2 times the first number. Find each number.
2. Painter A charges $200 to start a job, and then $2 for every square foot he paints. Painter B does not have a fee to start, but charges $2.75 per square foot she paints. How big does your house need to be before Painter B is a better value? How much would it cost to paint the house at this size?
3. If the tolerance of a machine part must be less than .01 centimeters, and the designed part is 9.2 centimeters, solve for the acceptable size of the part, expressed as in inequality, and graph your solution.
4. A realtor charges a flat rate of $5000 if the house sells for less than $100K. If the house sells between 100K and 200K, they charge $5000 plus 3 percent (o3) of the sales price. If it sells for over 200K, the commission is $8000 plus 5 percent of the sales price. Write this as a piecewise function.
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