Introduction to Algebra

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Questions and Answers

What is a variable in algebra?

  • An operation such as addition or subtraction
  • The equals sign
  • A symbol representing an unknown quantity (correct)
  • A fixed numerical value

Which of the following is an example of a constant?

  • a
  • y
  • x
  • 5 (correct)

What is the coefficient in the expression 4y?

  • y
  • 4y
  • 4 (correct)
  • 0

Which of the following is an example of an algebraic expression?

<p>x + 5 (B)</p> Signup and view all the answers

What does 'PEMDAS' stand for?

<p>Parentheses, Exponents, Multiplication, Division, Addition, Subtraction (D)</p> Signup and view all the answers

What are like terms?

<p>Terms that have the same variable(s) raised to the same power (A)</p> Signup and view all the answers

What is the inverse operation of addition?

<p>Subtraction (C)</p> Signup and view all the answers

Which of the following is a linear equation?

<p>2x + 3 = 7 (D)</p> Signup and view all the answers

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Flashcards

Variables

Symbols representing unknown or changeable values.

Constants

Fixed numerical values that do not change.

Coefficients

Numerical factors that multiply a variable.

Expressions

Combinations of variables, constants, and operations.

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Equations

Statements showing that two expressions are equal.

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Terms

Parts of an algebraic expression separated by + or -.

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Like Terms

Terms with the same variable(s) raised to the same power.

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Order of Operations

Following PEMDAS/BODMAS to simplify expressions.

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Inequality

Comparing two expressions using symbols like <, >, ≤, or ≥.

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Solving Inequalities

Same as solving equations, but flip the sign when multiplying/dividing by a negative number.

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System of Equations

A set of two or more equations with the same variables.

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Degree of a Polynomial

Highest degree of any term in the polynomial.

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Adding/Subtracting Polynomials

Combining like terms in polynomials.

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Factoring Polynomials

Expressing a polynomial as a product of simpler polynomials or monomials.

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Rational Expression

An expression written as a fraction with polynomials in the numerator and denominator.

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Radical

A symbol (√) indicating the root of a number.

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Quadratic Equation

An equation of the form ax^2 + bx + c = 0, where a ≠ 0.

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Range of a Function

The set of all possible output values for a function.

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Study Notes

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