Learn how to solve a proportion by applying the cross product ex 15, 15/(x+7) = 45/(x+21)

Learn how to solve a proportion by applying the cross product ex 15, 15/(x+7) = 45/(x+21)

Assessment

Interactive Video

Mathematics, Business

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains the process of using cross multiplication to solve equations with different denominators. It begins by identifying when cross multiplication is appropriate, then sets up the equation using the cross product. The tutorial emphasizes the importance of parentheses and the distributive property. It proceeds to solve the equation step by step, using a calculator for multiplication, and concludes by simplifying the equation to find the solution.

Read more

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why might cross multiplication be preferred over multiplying by the least common denominator?

It is always faster.

It avoids dealing with common factors.

It requires fewer steps.

It is more accurate.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the importance of using parentheses in cross multiplication?

To separate different terms.

To ensure the distributive property is applied correctly.

To simplify the equation.

To make the equation look neat.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying 15 by 21 in the example?

315

345

300

330

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after applying cross multiplication in solving the equation?

Multiply both sides by a constant.

Subtract the variables from both sides.

Add the variables to both sides.

Divide both sides by a constant.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution for X in the given proportion?

X = -1

X = 2

X = 0

X = 1