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U-Substitution in Quadratic Trinomials

U-Substitution in Quadratic Trinomials

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to use U substitution to simplify expressions involving exponents. It begins by introducing the concept of U substitution, followed by squaring the variable U and rewriting the expression. The tutorial then demonstrates how to factor a quadratic trinomial into binomials and concludes by substituting back to the original variable.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step in solving the given problem using U-substitution?

Factor the expression

Let u equal x to the 1/3

Identify the quadratic trinomial

Solve for x directly

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does u^2 equal when using U-substitution for x to the 1/3?

x to the 1/3

x to the 23

x to the 3/2

x to the 2/3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical operation is used to find u^2 from u?

Addition

Subtraction

Multiplication

Exponentiation

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of raising a power to another power?

You add the exponents

You subtract the exponents

You multiply the exponents

You divide the exponents

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for u in terms of x?

u = x^2

u = x^1/2

u = x^1/3

u = x^3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the expression rewritten using U-substitution?

As a linear equation

As a quadratic trinomial

As a cubic polynomial

As a simple fraction

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for x^2/3 in terms of u?

u^3

u^2

u^1/2

u^1/3

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