A fraction represents a part of a whole and is expressed as $$\frac{a}{b}$$ , where 'a' is the numerator and 'b' is the denominator.

How do you solve the equation $$-\frac{x}{3}+5=-7$$ ?

To solve for x, first isolate $$x$$ : 1. Subtract 5 from both sides: $$-\frac{x}{3} = -12$$ . 2. Multiply both sides by -3: $$x = 36$$ .

How do you solve the equation $$-\frac{x}{4}+3=-7$$ ?

To solve for x, first isolate $$x$$ : 1. Subtract 3 from both sides: $$-\frac{x}{4} = -10$$ . 2. Multiply both sides by -4: $$x = 40$$ .

How do you solve the equation $$10c-9=11$$ ?

To solve for c, first isolate $$c$$ : 1. Add 9 to both sides: $$10c = 20$$ . 2. Divide both sides by 10: $$c = 2$$ .

How do you solve the equation $$-5p-1=9$$ ?

To solve for p, first isolate $$p$$ : 1. Add 1 to both sides: $$-5p = 10$$ . 2. Divide both sides by -5: $$p = -2$$ .

How do you solve the equation $$5x + 2 = 3x + 20$$ ?

To solve for x, first isolate $$x$$ : 1. Subtract 3x from both sides: $$2x + 2 = 20$$ . 2. Subtract 2 from both sides: $$2x = 18$$ . 3. Divide both sides by 2: $$x = 9$$ .

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

Isolating a variable helps to find its value by getting it alone on one side of the equation.

What does it mean to balance an equation?

Balancing an equation means ensuring that both sides of the equation remain equal after performing operations.

What is the difference between an equation and an inequality?

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

What is a solution to an equation?

A solution to an equation is a value that, when substituted for the variable, makes the equation true.

What is a variable in mathematics?

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

What is the significance of the numerator and denominator in a fraction?

The numerator indicates how many parts are being considered, while the denominator indicates the total number of equal parts in the whole.

Fractions, Integers, Equations and Inequalities Flashcards

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1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

2.

FLASHCARD QUESTION

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

3.

FLASHCARD QUESTION

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

4.

FLASHCARD QUESTION

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

5.

FLASHCARD QUESTION

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Back

6.

FLASHCARD QUESTION

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7.

FLASHCARD QUESTION

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