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7th Math 3.EOM Inequalities/Volume/Composite Shapes Reteach 22-23

Last updated over 2 years ago

11 questions

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4

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Question 1

1.

a) Solve and graph the solution set to the inequality.

-3 - 2x > 7

You may copy and paste the symbols here into the answer box: <, >, ≥, ≤

Your answer for auto-grading should be the final line of work with one space between each term, for example:
x ≥ 10

CFS:
#1: Accurately solves with inverse operations
#2: Accurately reverses symbol when necessary
#3: Accurately graphs on the number line

Question 2

2.

b) Solve and graph the solution set to the inequality.

-2x + \frac{3}{1}x - 9 ≥ 1

You may copy and paste the symbols here into the answer box: <, >, ≥, ≤

Your answer for auto-grading should be the final line of work with one space between each term, for example:
x ≥ 10

CFS:
#1: Accurately solves with inverse operations
#2: Accurately reverses symbol when necessary
#3: Accurately graphs on the number line

Question 3

3.

c) Solve and graph the solution set to the inequality.

\frac{-5}{4} + \frac{1}{4} + 2x > 3

You may copy and paste the symbols here into the answer box: <, >, ≥, ≤

Your answer for auto-grading should be the final line of work with one space between each term, for example:
x ≥ 10

CFS:
#1: Accurately solves with inverse operations
#2: Accurately reverses symbol when necessary
#3: Accurately graphs on the number line

Question 4

4.

4. New Garden—Jose is planning to build a planter box for his new plant collection. What is the volume of the rectangular prism?

Question 5

5.

5. Filling Up—A water bottle company is considering using triangular water bottle design as it may benefit packing and shipping companies. Solve for the volume of the triangular prism.

Question 6

6.

6. Building blocks—A children’s toy set has many different shapes available. What is the volume of their triangular shapes?

Question 7

7.

RETAKE--Solve and graph the solution set to the inequality.

-5x+2\leq22

You may copy and paste the symbols here into the answer box: <, >, ≥, ≤

Your answer for auto-grading should be the final line of work with one space between each term, for example:
x ≥ 10

CFS:
#1: Accurately solves with inverse operations
#2: Accurately reverses symbol when necessary
#3: Accurately graphs on the number line

Question 8

8.

Mr. Kovalik is trying to make a stand for his surfboards. On the internet he has seen many models that use rectangular or triangular shapes. Due to the fact that he lives in a small apartment he needs one that takes up less space/volume.

Solve for the volume of the shapes below and let Mr. Kovalik know which is a better option for him.

Composite Shapes

Question 9

9.

Tool Time--Mr. Kovalik is building a piece of furniture for a home DIY project. The plank of wood is a square and he wants to drill out a circle. What is the area of wood leftover in the corners (the grey shaded areas)?

You can use 3.14 or leave in terms of π.

CFS:
#1: Determines which simple shapes are in the figure
#2: Uses appropriate area formulas and operations

Question 10

10.

Circular Challenge--A scientist wanted to create an image to represent a lunar eclipse for his new textbook. It is represented by one larger circle and one smaller circle. What is the area of the shaded region?

You can use 3.14 or leave in terms of π.

CFS:
#1: Determines which simple shapes are in the figure
#2: Uses appropriate area formulas and operations

Question 11

11.

RETAKE--A new type of frisbee is being sold at Big 10 Sporting Goods. It has a hole cut out of it to improve how it flies in the air.

An employee wants to know how the area of the frisbee that is made of plastic (the grey shaded region).
Calculate this area and use 3.14 to approximate π.

CFS:
#1: Determines which simple shapes are in the figure
#2: Uses appropriate area formulas and operations