Integrated 3 Section 1 Pretest

There are a few major types of problems that will be on the section 1 Test. I will group them and help you solve them on Monday and Tuesday or Wednesday, before your test on Thursday or Friday.

Inequality graphs

The following problems are inequality equations. Please solve them in two ways. First, solve the equation for x and then graph the equations.

^x/15 – 24 > 6	-3x + 10 < 20	6x + 12 ³ 6
4x – 22 £ 18	-^x/12 - 80 ³ 6	-5x – 10 < 20
x + 4 £ 18	15x + 8 > 53	12x – 6 > 18

Dividing It Up

How many twelve foot boards would be needed to create the following shelves: 10 – 6 foot shelves 8 – 8 foot shelves 6 – 3 foot shelves 5 – 2 foot shelves 10 – 9 foot shelves

How many 40 pound packages would you need to ship the following items: 6 – 38 lb packages 4 – 23 lb packages 10 – 12 lb packages 2 – 2 lb packages 8 – 17 lb packages

How many auto-carrying trucks would you need to carry the following vehicles. Each truck will carry eight vehicles: 15 Fords 16 Dodges 18 Chevrolets 3 Lincolns 2 Chryslers

Statistics & Box and whisker Charts

City A has the following monthly temperatures. Draw the box and whisker graph Ja – 57 Jn – 77 No - 64 Fe – 62 Jl – 78 Dc - 58 Mr – 65 Ag - 79 Ap – 68 Se - 77 My – 72 Oc - 71	City B has the following monthly temperatures. Draw the box and whisker graph next to first graph. Ja – 28 Jn – 97 No - 44 Fe – 32 Jl – 108 Dc - 38 Mr – 45 Ag - 108 Ap – 68 Se - 107 My – 92 Oc - 71	Compare the two box and whisker charts. How do the medians compare? How do the whiskers compare?
City A’s post office took in the following daily average number of packages per month. Draw the box and whisker graph Ja – 108 Jn – 77 No - 189 Fe – 156 Jl – 133 Dc - 255 Mr – 116 Ag - 79 Ap – 98 Se - 122 My – 122 Oc - 130	City B’s post office took in the following daily average number of packages per month. Draw the box and whisker graph next to first graph. Ja – 28 Jn – 97 No - 344 Fe – 32 Jl – 108 Dc - 543 Mr – 45 Ag - 108 Ap – 68 Se - 107 My – 92 Oc - 71	Compare the two box and whisker charts. How do the medians compare? How do the whiskers compare?

Break Even Points

The following problems include two graph equations. Please graph both equations. Find the exact location where both values are equat.

A: y = 0.00 + .50x B: y = 5.00 + .45x	A: y = 0 + 10 x B: y = 8 + 8x	A: y = 0.00 + .10 x B: y = 8.00 + .08x
A: y = 4.00 + .05x B: y = 5.00 + .04x	A: y = 4 + 8 x B: y = 8 + 9x	A: y = 4.00 + .085 x B: y = 8.00 + .08x
A: y = 14.00 + .05x B: y = 15.00 + .04x	A: y = 2.00 + .02 x B: y = 10.00 + .09x	A: y = 7.00 + .085 x B: y = 8.00 + .08x

Equations and solving for multiple variables

The following problems include two to three variables. You should be able to solve two variable equations by hand, but will probably need your calculator to sovle the three or four variable equations. If some set cannot be solved, please state so.

3x + 5 y = 19 12x – 2y = 32	4x + 8y = 84 3x + 3y = 33	4x + 8y = 32 3x + 3y = 18
3x + 5 y + 4z = 34 12x – 2y – 8z = -6 2x – 4y + 2z = 12	4x + 8y – z = 34 3x + 3y – 4z = -6 -2x +8y – 4z = 4	4x + 8y + 2z = 18 3x + 3y – 4z = 14 x – 8y + 6z = -6
3x + 5 y + 4z - 2a= 56 12x – 2y – 8z + 2a = 76 2x – 4y + 2z – 4a = 8 4x – 3y – z + 4a = 44	10x + 4y – 3z = -21 3x + 3y – 4z = 2 -2x +8y – 4z = 4	4x + 8y + 2z = 6 3x + 3y – 4z = -4 x – 8y + 6z = -3

Minimum and Maximum

The following problems include one quadratic equation. You should be able to solve this equation to determine a) whether the graph has a minimum or maximum, b) the (x, y) value for the maximum or minimum.

y = x^2 + 2x - 8	y = 4x^2 - 2x + 4	y = -8x^2 + 2x - 8
y = .015x^2 + .1x - 8	y = -.004x^2 - .02x + .4	y = -.005x^2 + .02x - .08
y = 16x^2 - 2x - 8	y = 12x^2 - 21x + 8	y = -4x^2 + 5x - 18

Inequalities and graphing

The following problems include a group of equations. You should be able to graph the equations and shade in all values that apply.

1 ³ a ³ 6 0 ³ b ³ 26 a + b £ 30	0 £ a £ 20 b ³ 0 0.30a + 0.45b £ 8.10	I want to exercise, both using weights and a ski machine. I want to use the ski machine between 30 and 50 minutes. I burn 8 Calories per minute on the ski machine. I burn 3 Calories per minute lifting weights. If I want to burn at least 250 Calories and spend no more than two hours exercising, what would the appearance of the graph be?
0 ³ a ³ 30 0 ³ b ³ 56 4a + b £ 70	0 £ a b ³ 0 0.50a + 0.25b £ 15.00	I have a garden railroad. The quality of the equipment I want is somewhat expensive. The average engine costs $260 each, while box cars cost $40.00 each. If I do not want to spend more than $800 total before sales taxes, show me a graph of what I can buy.
20 ³ a ³ 60 10 ³ b ³ 56 2a + 6b £ 150	0 £ a £ 25 b ³ 0 0.05a + 0.15b £ 5.00	Tarzan works with Jane to help Cheetah feed her cubs. Each agrees to take at least 2 feedings and no more than 16 feedings during an allotted time. Show the interception graph for all of the possible combinations over this period of time.