What is the first step in solving the equation $$h = vt - 16t^2$$ for $$v$$ ?

The first step is to add $$16t^2$$ to both sides to isolate the term containing $$v$$ : $$h + 16t^2 = vt$$ .

How do you solve for $$v$$ in the equation $$h = vt - 16t^2$$ ?

Rearranging gives $$v = \frac{h + 16t^2}{t}$$ .

How do you solve for $$h$$ in the volume formula $$V = \frac{1}{3}Bh$$ ?

To solve for $$h$$ , rearrange the formula to get $$h = \frac{3V}{B}$$ .

What is the relationship between variables in the equation $$S = 3F - 24$$ ?

In this equation, $$S$$ is expressed in terms of $$F$$ . To find $$F$$ , you can rearrange the equation.

How do you solve for $$F$$ in the equation $$S = 3F - 24$$ ?

Rearranging gives $$F = \frac{S + 24}{3}$$ .

What is the significance of isolating a variable in an equation?

Isolating a variable allows you to express it in terms of other known quantities, making it easier to solve problems.

What does the term 'inverse operations' mean in algebra?

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

How do you solve for $$x$$ in the equation $$x = by - v$$ ?

In this equation, $$x$$ is already isolated. To express it in terms of $$y$$ and $$v$$ , you can rearrange it as $$x = by + v$$ .

What is the process of rearranging an equation called?

The process of rearranging an equation to isolate a variable is called 'solving for the variable'.

What is an example of a multi-variable equation?

An example of a multi-variable equation is $$x + 2y = 12$$ , where $$x$$ and $$y$$ are the variables.

Solving Multi-Variable Equations Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a multi-variable equation?

Back

Tags

CCSS.6.EE.A.4

2.

FLASHCARD QUESTION

Front

How do you isolate a variable in an equation?

Back

Tags

CCSS.HSA.REI.B.3

3.

FLASHCARD QUESTION

Front

What is the formula for solving for a variable in a linear equation?

Back

Tags

CCSS.7.EE.B.4A

4.

FLASHCARD QUESTION

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to manipulate an equation to express that variable in terms of other variables or constants.

Tags

CCSS.HSA.CED.A.4

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.REI.B.3

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.CED.A.4

7.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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