Algebra 1 Unit 1 Concepts Flashcards

What is the difference between an equation and an expression?

How many terms are in the expression: 2x - 3 + 7y + 4?

What are the constants in the expression: 2x - 3 + 7y + 4?

What are the variables in the expression: 2x - 3 + 7y + 4?

What are the coefficients in the expression: 2x - 3 + 7y + 4?

What operations are taking place in the expression: 2x - 3 + 7y + 4?

What is the exponent in the expression: 2x - 3 + 7y + 4?

What are the like terms in the expression: 2x - 3 + 7y + 4 + 3y?

What are the variable terms in the expression: 2x - 3 + 7y + 4 + 3y?

What does PEMDAS stand for?

In the expression 2 - 4 + 12 - 4, would you add or subtract first?

Simplify the expression: 4 x 5 - 10 - 2(1-2) + 5.

Evaluate the variable expression for x = -4: 3x + 5.

What are 3 things that automatically make an equation NONlinear?

Is the following equation linear: 4x + 3y = 15?

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 + 4 contains 4 terms: 2x, -3, 7y, and 4.
Constants in this expression are -3 and 4.
Variables identified in the expression are x and y.
Coefficients of the variables are 2 (for x) and 7 (for y).

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 are 3y and 7y, which can be combined.
The variable terms are 2x, 7y, and 3y.

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 is 17.
Evaluating the expression 3x + 5 for x = -4 yields -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 = 15 is classified as linear.

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!