How do you solve the inequality $$2(x-4) \le -4$$ ?

To solve $$2(x-4) \le -4$$ , first divide both sides by 2: $$x-4 \le -2$$ . Then add 4 to both sides: $$x \le 2$$ .

How do you solve the equation $$3x - x + 4 = 4(2x + 1)$$ ?

Combine like terms: $$2x + 4 = 8x + 4$$ . Subtract 4 from both sides: $$2x = 8x$$ . This simplifies to $$0 = 6x$$ , leading to $$x = 0$$ .

What is the solution to the inequality $$6(n + 2)

First, divide both sides by 6: $$n + 2

How do you solve the equation $$-3(n + 8) - 4 = -40 - n$$ ?

Distribute: $$-3n - 24 - 4 = -40 - n$$ . Combine like terms: $$-3n - 28 = -40 - n$$ . Add 3n to both sides: $$-28 = -40 + 2n$$ . Add 40: $$12 = 2n$$ , leading to $$n = 6$$ .

What is the first step in solving a multi-step equation?

The first step is often to simplify both sides of the equation by combining like terms or distributing.

What is the importance of checking your solution in an equation?

Checking your solution ensures that the value satisfies the original equation, confirming that it is correct.

What is the difference between solving equations and inequalities?

Solving equations finds a specific value for the variable, while solving inequalities finds a range of values that satisfy the condition.

What does the symbol '>' mean in an inequality?

The symbol '>' means 'greater than', indicating that the value on the left is larger than the value on the right.

How do you graph an inequality on a number line?

To graph an inequality, use an open circle for ' ' and a closed circle for '≤' or '≥', then shade the appropriate direction.

MultiStep Equations & Inequalities Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Tags

CCSS.8.EE.C.7B

2.

FLASHCARD QUESTION

Front

What is an inequality?

Back

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

Tags

CCSS.6.EE.B.8

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.EE.B.4B

4.

FLASHCARD QUESTION

Front

What does it mean if an equation has one solution?

Back

An equation has one solution if there is exactly one value of the variable that makes the equation true.

Tags

CCSS.7.EE.B.4A

5.

FLASHCARD QUESTION

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions if any value of the variable makes the equation true.

Tags

CCSS.8.EE.C.7A

6.

FLASHCARD QUESTION

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value of the variable that can satisfy the equation.

Tags

CCSS.8.EE.C.7A

7.

FLASHCARD QUESTION

Front

Back

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