Course 3 Lecture Notes Flashcards

Flashcards based on selected answers from CPM Educational Program, focusing on key concepts and problem-solving techniques.

What is the value of 'a' in question 10-12a and is it rational or irrational?

12, rational

What is the value of 'b' in question 10-12b and is it rational or irrational?

3.78, irrational

What is the value of 'c' in question 10-12c and is it rational or irrational?

0.5, rational

What is the answer to question 10-13a?

5 inches

What is the answer to question 10-13b?

150 sq. inches

What are the areas of the triangle and rectangle and the total area and perimeter in question 10-14?

Triangle = 38 m^2, rectangle = 161.5 m^2, total area = 199.5 m^2, perimeter = 72.66 m

What is 72/100 simplified?

18/25

What is 72/99 simplified?

8/11

What is 175/1000 simplified?

7/40

What is 175/999 simplified?

175/999

In question 10-16, if 6p + 28 = 80, where p = packs of plants, how many packs are needed?

9 packs

What is the equation in question 10-17a?

y = 1.5x – 6.5

What is the x value in question 10-17b?

x = 14

What is the x value in question 10-17c?

x = 114

What is the equation in question 10-17d?

y = 85/90 * x = 0.94x

What are the approximate area and volume in question 10-26a?

A ≈ 78.54 cm^2, V ≈ 785.4 cm^3

What are the approximate area and volume in question 10-26b?

A ≈ 36.32, V ≈ 326.88 cm^3

What is the volume in question 10-27?

744 in.^3

What is the value of 'a' in question 10-28a and is it rational or irrational?

12, rational

What is the value of 'b' in question 10-28b and is it rational or irrational?

≈ 6.71, irrational

What is the value of 'c' in question 10-28c and is it rational or irrational?

8, rational

What is 1/5^6 expressed with a negative exponent?

5^(-6)

Simplify a/(3b)

a/(3b)

Simplify 8^3/x

8^3/x = 8^3/x^(-1)

Simplify 1/(6^2)

1/(6^2)

What is the answer to question 10-30a?

6

What is the answer to question 10-30b?

8

What is the answer to question 10-30c?

24

What is the answer to question 10-30d?

-24

What is the answer to question 10-30e?

0

What is the answer to question 10-30f?

4

What is the answer to question 10-31a?

$3000

What is the answer to question 10-31b?

$2938.66

What is the answer to question 10-31c?

The simple interest account.

What is the volume in question 10-41?

96π ≈ 301.59 in.^3

What is the volume of the prism and its relation to the pyramid in question 10-42?

936 cubic feet. Volume of the prism = 3 times the volume of the pyramid.

Which table in question 10-43 is proportional and why?

Table (b) is proportional because it is the only one that could contain (0, 0) and grows using a Giant One.

What is the volume in question 10-44?

660 mm^3

What is the answer to question 10-45a?

16 units

What are the coordinates in question 10-45b?

(1, 6), (5, 3), and (1, 0)

What is the answer to question 10-45c?

It is still 16 units.

What are the key properties of the rule in question 10-46?

Undefined for x = -1. Non-linear growth. Yes, it is a function.

What is the answer to question 10-55a?

500/3 * π ≈ 523.6 cm^3

What is the answer to question 10-55b?

4.5π ≈ 14.14 feet^3

If 4/3πr^3 = 113.04, what is the approximate value of r in question 10-56?

r ≈ 3 ft

What is the answer to question 10-57a?

1260 m^3

What is the answer to question 10-57b?

1584 cm^3

What are the characteristics of the graph in 10-58c?

Non-linear, function

Describe the segments of the graph in 10-59b

Linear increasing, constant, linear decreasing

How many cups are there in 10-60a?

24 cups

How many cups are there in 10-60b?

40 cups

What is the function in 10-60c?

c = 4t

What is the x value in 10-61a?

x = 128º

What is the x value in 10-61b?

x = 98º

Simplify 10-65

9.98 × 10^17

What is the answer to question 10-66?

1280π/3 ≈ 1340.41 in.^3

What is the perimeter and is it rational in 10-67?

12 + 2√5 or approximately 16.47 units, irrational

Simplify 10-68a

25x/6

Simplify 10-68b

2/(3ab)

Simplify 10-68c

6m^4 n^6

What similarity theorem applies and what is x in 10-69b?

Similar by AA, x = 9 1/3 ≈ 9.33

What is the answer to question 10-70?

≈ 6.37 in.