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.

An equation is a mathematical statement that asserts the equality of two expressions, typically written in the form $$A = B$$ .

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

To solve, isolate x: $$-\frac{x}{4} = -10$$ , then multiply by -4 to get $$x = 40$$ .

How do you solve the equation $$\frac{c}{3} - 4 = 11$$ ?

To solve, add 4 to both sides: $$\frac{c}{3} = 15$$ , then multiply by 3 to get $$c = 45$$ .

How do you solve the inequality $$-\frac{x}{2} - 1 > 1$$ ?

First, add 1 to both sides: $$-\frac{x}{2} > 2$$ , then multiply by -2 (reversing the sign) to get $$x

How do you solve the equation $$-10p - 15 = 25$$ ?

To solve, add 15 to both sides: $$-10p = 40$$ , then divide by -10 to get $$p = -4$$ .

How do you solve the equation $$5a - 8 = 2a + 4$$ ?

To solve, first subtract 2a from both sides: $$3a - 8 = 4$$ , then add 8 to both sides: $$3a = 12$$ , and divide by 3 to get $$a = 4$$ .

What is the purpose of using variables in equations?

Variables represent unknown values in equations, allowing us to express relationships and solve for those unknowns.

What is the difference between a proper fraction and an improper fraction?

A proper fraction has a numerator smaller than its denominator (e.g., $$\frac{3}{4}$$ ), while an improper fraction has a numerator larger than or equal to its denominator (e.g., $$\frac{5}{4}$$ ).

What does it mean to simplify a fraction?

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common divisor.

What is a mixed number?

A mixed number is a whole number combined with a proper fraction (e.g., $$2 \frac{1}{2}$$ ).

What is the importance of understanding equations and inequalities in real life?

Understanding equations and inequalities helps in solving real-world problems, making informed decisions, and analyzing relationships between quantities.

Fractions, Integers, Equations and Inequalities Flashcards

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15 questions

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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

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, using symbols like >, <, ≥, or ≤.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What happens to the inequality when you multiply both sides by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.

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