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Quadratic Equations and Rates Problems

Quadratic Equations and Rates Problems

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSA.CED.A.1, 8.EE.A.2, HSA-SSE.A.1A

+3

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSA.CED.A.1
,
CCSS.8.EE.A.2
,
CCSS.HSA-SSE.A.1A
CCSS.HSA.REI.A.2
,
CCSS.8.EE.C.7B
,
CCSS.HSA-REI.B.4B
,
The video tutorial explains how to determine the time it takes for Skylar to paint a room alone if Ermius is unavailable. It starts by establishing the combined rate of Skylar and Ermius working together, then calculates their individual rates. A rational equation is set up and solved using the quadratic formula to find Skylar's time, which is approximately 13.88 hours.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How long does it take for Skylar and Ermius to paint the room together?

8 hours

5 hours

12 hours

10 hours

Tags

CCSS.HSA.CED.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If Ermius works alone, how many more hours does it take him compared to Skylar?

3 hours

4 hours

5 hours

6 hours

Tags

CCSS.HSA-SSE.A.1A

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is Skylar's rate of painting the room per hour if it takes him T hours?

T/5 of the room per hour

T rooms per hour

1/T of the room per hour

5/T of the room per hour

Tags

CCSS.HSA.CED.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What equation represents the sum of Skylar and Ermius's rates?

1/T + 1/(T+5) = 1/5

1/T + 1/(T+5) = 1/8

1/T + 1/(T+5) = 1/10

1/T + 1/(T+5) = 1/12

Tags

CCSS.HSA.REI.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the least common denominator used to clear the fractions in the equation?

8(T+5)

8T(T+5)

8T

T(T+5)

Tags

CCSS.8.EE.C.7B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of equation is formed after clearing the fractions?

Linear equation

Exponential equation

Quadratic equation

Cubic equation

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to solve the quadratic equation in this problem?

Binomial theorem

Factorial formula

Quadratic formula

Pythagorean theorem

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