Questions and Answers
What is the difference between an equation and an expression?
An expression does NOT have an equals sign, while an equation DOES.
How many terms are in the expression: 2x - 3 + 7y + 4?
4
What are the constants in the expression: 2x - 3 + 7y + 4?
-3 and 4
What are the variables in the expression: 2x - 3 + 7y + 4?
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What are the coefficients in the expression: 2x - 3 + 7y + 4?
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What operations are taking place in the expression: 2x - 3 + 7y + 4?
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What is the exponent in the expression: 2x - 3 + 7y + 4?
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What are the like terms in the expression: 2x - 3 + 7y + 4 + 3y?
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What are the variable terms in the expression: 2x - 3 + 7y + 4 + 3y?
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What does PEMDAS stand for?
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In the expression 2 - 4 + 12 - 4, would you add or subtract first?
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Simplify the expression: 4 x 5 - 10 - 2(1-2) + 5.
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Evaluate the variable expression for x = -4: 3x + 5.
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What are 3 things that automatically make an equation NONlinear?
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Is the following equation linear: 4x + 3y = 15?
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Study Notes
Key Definitions
- An expression does not contain an equals sign; an equation does.
- Terms in an expression refer to the components separated by addition or subtraction.
- Constants are fixed numerical values within an expression.
Components of Expressions
- The expression
2x - 3 + 7y + 4contains 4 terms:2x,-3,7y, and4. -
Constants in this expression are
-3and4. - Variables identified in the expression are
xandy. -
Coefficients of the variables are
2(forx) and7(fory).
Operations and Structures
- The operations performed in the expression are subtraction and addition.
- The given expression has no exponent present; this is an intentional trick question.
- In the extended expression
2x - 3 + 7y + 4 + 3y, the like terms are3yand7y, which can be combined. - The variable terms are
2x,7y, and3y.
Mathematical Principles
- PEMDAS stands for: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
- For the expression
2 - 4 + 12 - 4, subtraction is performed first, following the left-to-right rule.
Simplification and Evaluation
- After simplifying
4 x 5 - 10 - 2(1-2) + 5, the result is17. - Evaluating the expression
3x + 5forx = -4yields-7.
Characteristics of Equations
- An equation is considered nonlinear if it contains:
- Negative exponents
- Exponents larger than 1
- Fractional exponents (like square roots)
- The equation
4x + 3y = 15is classified as linear.
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Description
Test your understanding of the fundamental concepts in Algebra 1 with this flashcard quiz. Covering key differences between equations and expressions, as well as identifying terms, constants, and variables. Perfect for students starting their algebra journey!
