What is the process of isolating a variable in an equation called?

The process is called 'solving for a variable'.

What is the general form of a linear equation?

The general form is $$Ax + By + C = 0$$ .

What does the term 'variable' mean in mathematics?

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

What is the importance of solving equations in algebra?

Solving equations allows us to find unknown values and understand relationships between variables.

Solving for a Variable Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Define 'solving for a variable'.

Back

Solving for a variable involves isolating the variable on one side of an equation to find its value in terms of other variables or constants.

2.

FLASHCARD QUESTION

Front

What is the first step in solving the equation $A = 5xy$ for y?

Back

To solve for y, divide both sides of the equation by 5x.

3.

FLASHCARD QUESTION

Front

Solve for y: $A = 5xy$

Back

$y = \frac{A}{5x}$

4.

FLASHCARD QUESTION

Front

What is the formula for the area of a circle in terms of radius?

Back

The area of a circle is given by $A = \pi r^2$ .

5.

FLASHCARD QUESTION

Front

Solve for r in the equation $A = 2\pi r - h$ .

Back

$r = \frac{A + h}{2\pi}$ .

6.

FLASHCARD QUESTION

Front

What does it mean to rewrite an equation in slope-intercept form?

Back

Rewriting in slope-intercept form means expressing the equation as $y = mx + b$ , where m is the slope and b is the y-intercept.

7.

FLASHCARD QUESTION

Front

Rewrite the equation $2x + y + 1 = 0$ in slope-intercept form.

Back

$y = -2x - 1$ .

8.

FLASHCARD QUESTION

Front

What is the slope of the line represented by the equation $y = 4x - 4$ ?

Back

The slope is 4.

9.

FLASHCARD QUESTION

Front

What is the y-intercept of the equation $y = 4x - 4$ ?

Back

The y-intercept is -4.

10.

FLASHCARD QUESTION

Front

Solve for x: $x = by - v$

Back

$x = by + v$ .

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