Mth 60 Exam 2 Outcomesname

Mth 60 Exam 2 OutcomesNAME

After studying, place a checkmark next to those outcomes you feel you understand and/or are proficient with. Place a question mark next to those outcomes which you feel your skills/understanding is questionable. Turn in with your test. You can receive 4 pts extra credit for completeing the check list and the accompanied problems set in a neat and organized fashion.

To be successful on Exam 2 in Mth 60 you should be able to …

Basics

Know the basic vocabulary of mathematics at the pre-algebra level. e.g. radius, numerator, etc
Know the common abbreviations in mathematics at the pre-algebra level. e.g. LCD, ≈, ≠, π, x2, etc
Perform basic calculations ( +, −, ×, ÷, an,| a| ) with real numbers, decimals and fractions.
Solve basic applications involving real numbers, decimals and fractions.
Use order of operations to perform extended calculations with parentheses, exponents, radicals.
Substitute values into formulas and evaluate the expression. e.g. c = ; a = 3, b = 4 → c = 5
Compute the area and perimeter of: circles, triangles, rectangles, trapezoids and parallelograms.
Calculate volumes of simple solids: e.g. spheres, boxes, cylindrical shapes and pyramidal shapes.

Direct Proportion

Find equivalent fractions/ratios. e.g. 3/5 = x/10
Setup and solve direct proportion applications.

Percents

Switch between decimal or fraction and percent notation.
Setup and solve percent applications.

Mathematical Models & Graphing

Plot/read (x, y) coordinates on a graph.
Identify the independent vs. the dependent variable.
Interpret the behavior inherent in a graph.
Plot equations of the form: (a) y = mx + b, y = mx, y = b; Ax + By = C
Give the equation for the graph of a line.
Interpret a mathematical model in algebraic, graphic, tabular or text form (rule of four).
Switch among algebraic, graphic, tabular or text forms (rule of four).

Solving Linear Equations

Apply the distributive property.
Solve linear equations

Mth60 Exam 2 PracticeFranz HelfensteinName

Expect some PEMDAS problems both with and without a calculator.

1)a–p are either True or False. Circle T if always true otherwise circle F.

a)TF|7 – 9| = 2i)TF0 = Ø
b)TF|a – b| = |a| + |b|j)TFa(x·y) = (ax)(ay)
c)TF(–2)4 = 16k)TF2b(a + 3 – b) = 2ab + 6b – 4b
d)TF= x + 4l)TF= 0
e)TF|32 – 44| – 16 = 28m)TF|5 – 15|·20 – 10 = 100
f)TF = n)TF = x + y
g)TF3(2x – y + 1) = 6x − 3y + 1o)TF-(3x − 2y − 5) = −3x + 2y + 5
h)TF10 − 5(x + y) = 5x + 5yp)TF10 − 5(2x − y) = 10 − 10x + 5y
2) Solve for x
9(3x – 7) = -3(13 – 5x) / 3) Solve for x
5 – 2(3x – 5) = 3(5 – 2x) / 4) Solve for y
= –4 / 5) Solve for x
= x – 4
6) Solve for x
+ 4 = x + / 7) Solve for x / 8) Solve for x
= -4 + / 9) Solve for k
4.5(1.8k + 7.2) = 9.6
10) Solve for w
1 + 2w = / 11) Solve for Q
7.2Q + 6.9 = 4.5(2Q – 1.4) / 12) Solve for x
+ = / 13) Solve for x
+ = 12x – 12
Graph the following:
14)y = x + 2
15)y = − 12
16)y = + 8
17) y = 4.5
18)x = 2.5
19)12x + 9y = 54
20)What is the slope of a flat line? / 21)Find the slope for the line through (12, 17) & (-6, 25).
22)Find the slope for the line through (1.2, −1.7) & (-6.9, 2.5) as a single decimal number.
23)What slope associates with an angle of 45° counter clockwise from the positive x-axis?
24)What slope associates with an angle of 45° clockwise from the positive x-axis?
25) What is the slope of a vertical line? / Write the equation for each graph.

26)How can you tell if two slopes are parallel?How can you tell if two slopes are perpendicular?

27)Are y = 2.7 − 0.6x and y =5x/3 + 8 perpendicular?

28)Use the marked points to determine the slope (units required)

The Rule of Four

29)Bob and Judy race each other. Bob (the chauvinist) gives Judy a 50 ft head start. Bob can run 60 yds in 5 sec and Judy can run 60 yds in 6 sec.

(a) We're interested in distance and time variables. Which is the independent variable?

(b) What is Bob's speed in ft/sec?What is Judy's speed in ft/sec?

(d) Make a graph of Bob and Judy's race for 10 seconds.

(e) Give an equation for Bob's running and one for Judy's running.

(f) What will be Bob's distance after 10 seconds?

(g) How much time will it take for Jill to get to 100 yds? Assume she gets the 50' head start.

30)It's time for Betty to clean the 350 gal hot tub. She hooks up a siphon tub and after 10 minutes notices that 15 gal have drained from the tub.

(a) We're interested in gallons and time variables. Which is the independent variable?

(b) What's the drainage rate in gpm (gal/min)?

(d) Make a graph of the tubs gallons for one hour.

(e) Give an equation for the tub's gallons.

(f) How many gallons will remain in the tub in 1 hour?

(g) How much time will it take to completely drain the tub?

31)Billy lost big ($1 thousand) betting on the Colts. He earns $75 a day from his web site.

(a) We're interested in dollars and time variables. Which is the independent variable?

(d) Make a graph of Billy's balance for 1 week.

(e) Give an equation for Billy's balance.

(f) What's Billy's balance after 4 weeks?

(g) How much time will it take to completely pay off the loss and breakeven?

32)Vikki and Allegra are having a contest to see who can sell the most Girl Scout cookies. Allegra had already sold 20 boxes to her grandma when Vikki got her supply. Vikki figures she can sell 5 boxes a day. Allegra figures she can sell 25 boxes a week.

(a) We're interested in boxes and time variables. Which is the independent variable?

(b) What is Allegra's rate of sale per day?

(d) Make a graph of Vikki's and Allegra's sales for 1 week.

(e) Give an equation for Vikki's and Allegra's sales.

(f) How much time will it take before their total sales match?

/ time (sec) / Bob (ft) / Judy (ft)
0 / 0 / 50
1 / 36 / 80
2 / 72 / 110
3 / 108 / 140
4 / 144 / 170
5 / 180 / 200
6 / 216 / 230
/ / time (min) / Tub (gal)
0 / 350
10 / 335
20 / 320
30 / 305
40 / 290
50 / 275
/ time (days) / Billy ($)
0 / -1000
1 / -925
2 / -850
3 / -775
4 / -700
5 / -625
/
time (days) / Vikki (boxes) / Allegra (boxes)
0 / 0 / 20.0
1 / 5 / 23.6
2 / 10 / 27.1
3 / 15 / 30.7
4 / 20 / 34.3
5 / 25 / 37.9