Solving Equations and Functions

Solving Equations and Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to rewrite equations with multiple variables in terms of one variable, focusing on function rules. It covers solving for g(b) in terms of b, f(x) in terms of x, and g(u) in terms of u, providing step-by-step instructions for each case.

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video tutorial?

Understanding calculus concepts

Graphing linear equations

Solving quadratic equations

Rewriting equations with multiple variables in terms of one variable

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When rewriting an equation in terms of one variable, what should you do with the other variables?

Add them to the constant

Move them to the other side of the equation

Ignore them

Multiply them by zero

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example with variables a and b, what is the function g of b equal to?

b - 7

3b + 13

a + 7

3a + b

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation for a specific variable?

Add all terms to one side

Divide by the constant

Isolate the variable

Multiply all terms by zero

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example with variables x and y, what is the function f of x equal to?

5x - 8

4x + y

x/4 - 2

-5x/4 + 2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of dividing by negative 4 in the example with x and y?

To simplify the equation

To eliminate the x variable

To isolate the y variable

To find the constant

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example with variables u and v, what is the simplified form of the function g of u?

-3u/2 + 1/4

12u + 2

u/4 - 3

8v + 1

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