What is the formula for the area of a triangle?

The area of a triangle is given by $$A = \frac{1}{2}bh$$ .

How do you rearrange $$C = 2\pi r$$ to solve for r?

Rearranging gives $$r = \frac{C}{2\pi}$$ .

What does the term 'variable' mean in mathematics?

A variable is a symbol used to represent an unknown value.

What is the importance of understanding how to rearrange formulas?

Understanding how to rearrange formulas is crucial for solving equations and applying mathematical concepts in real-world situations.

What is the general approach to solving for a variable in an equation?

The general approach involves isolating the variable on one side of the equation through addition, subtraction, multiplication, or division.

Rearranging Formulas Flashcards: 15 Cards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Given the formula $A = bh$ , solve for b.

Back

$b = \frac{A}{h}$

2.

FLASHCARD QUESTION

Front

Solve the formula for p: $I = prt$ .

Back

$p = \frac{I}{rt}$

3.

FLASHCARD QUESTION

Front

Carmen's aunt plans to bike 50 miles. Write an equation for t in terms of r.

Back

$t = \frac{50}{r}$

4.

FLASHCARD QUESTION

Front

Solve for s: a + b = s + r.

Back

$s = a + b - r$

5.

FLASHCARD QUESTION

Front

Solve for y: 3x + y = 12.

Back

$y = -3x + 12$

6.

FLASHCARD QUESTION

Front

What is the process of rearranging a formula called?

Back

Rearranging a formula is called 'solving for a variable'.

7.

FLASHCARD QUESTION

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side by itself.

8.

FLASHCARD QUESTION

Front

If you have the equation $y = mx + b$ , what does m represent?

Back

m represents the slope of the line.

9.

FLASHCARD QUESTION

Front

What is the first step in rearranging the formula $F = ma$ to solve for a?

Back

The first step is to divide both sides by m, giving $a = \frac{F}{m}$ .

10.

FLASHCARD QUESTION

Front

In the equation $V = lwh$ , how do you solve for l?

Back

To solve for l, rearrange to get $l = \frac{V}{wh}$ .

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