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Linear Equations and Constant Rates

Linear Equations and Constant Rates

Assessment

Interactive Video

•

Mathematics

•

6th - 7th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers the concept of constant rate, using examples like lawn mowing, water flow, typing speed, painting rate, and walking speed. It explains how to set up proportions, solve for unknowns using cross-multiplication, and derive linear equations. The tutorial also includes exercises for practice and demonstrates graphing results to visualize relationships.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If Paulie mows 35 square feet in 2.5 minutes, how much can she mow in 10 minutes?

150 square feet

120 square feet

140 square feet

130 square feet

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the linear equation derived from the mowing example?

y = T/35

y = 2.5/35 * T

y = 35 * T

y = 35/2.5 * T

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the water flow example, what is the constant rate of water flow in gallons per minute?

2.5 gallons/min

5.5 gallons/min

4.5 gallons/min

3.5 gallons/min

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many pages can Juan type in 10 minutes if he types at a constant rate of 1 page in 3.5 minutes?

3.5 pages

2.9 pages

2.5 pages

3.0 pages

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How long would it take Juan to type a 5-page paper?

17.5 minutes

15 minutes

18.5 minutes

20 minutes

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the linear equation for Emily's painting speed if she paints 32 square feet in 5 minutes?

a = 32 * T

a = 32/5 * T

a = 5/32 * T

a = T/32

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If Emily paints at a constant rate, how many square feet can she paint in 2.5 minutes?

14 square feet

16 square feet

20 square feet

18 square feet

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