Solving Multi-Step Equations and Inequalities Review

Flashcard
•
Mathematics
•
9th Grade
•
Hard
Wayground Content
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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. It often involves combining like terms, using the distributive property, and isolating the variable.
2.
FLASHCARD QUESTION
Front
What is the distributive property?
Back
The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.
3.
FLASHCARD QUESTION
Front
How do you solve the equation 3(2e + 5) + 8(1 - e) = 1?
Back
First, distribute: 6e + 15 + 8 - 8e = 1. Combine like terms: -2e + 23 = 1. Subtract 23 from both sides: -2e = -22. Divide by -2: e = 11.
4.
FLASHCARD QUESTION
Front
What does it mean to solve an inequality?
Back
Solving an inequality involves finding the values of the variable that make the inequality true. The solution is often expressed in interval notation or on a number line.
5.
FLASHCARD QUESTION
Front
How do you solve the inequality -4x + 14 ≤ 54?
Back
Subtract 14 from both sides: -4x ≤ 40. Divide by -4: x ≥ -10.
6.
FLASHCARD QUESTION
Front
What is the solution to the inequality -3 - 6(4x + 6) > -111?
Back
Distribute: -3 - 24x - 36 > -111. Combine like terms: -24x - 39 > -111. Add 39: -24x > -72. Divide by -24: x < 3.
7.
FLASHCARD QUESTION
Front
What is the difference between an equation and an inequality?
Back
An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.
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