Algebra Problems

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Questions and Answers

Simplify the expression: $4(x + 2) - (3x - 1)$

  • $x + 7$
  • $7x + 7$
  • $x + 9$ (correct)
  • $7x + 9$

Solve for $x$ in the equation: $\frac{2x}{3} + 5 = 9$

  • $x = 4$
  • $x = 12$
  • $x = 6$ (correct)
  • $x = 8$

Which of the following equations represents a linear equation?

  • $y = x^2 + 3x - 1$
  • $y = 2^x + 5$
  • $y = 3x + 2$ (correct)
  • $y = \frac{1}{x} - 4$

Solve the following system of equations: $x + y = 5$ $x - y = 1$

<p>$x = 3, y = 2$ (B)</p> Signup and view all the answers

Solve the inequality: $-3x + 6 \le 12$

<p>$x \ge -2$ (B)</p> Signup and view all the answers

Which of the following is a quadratic polynomial?

<p>$x^2 - 4x + 3$ (A)</p> Signup and view all the answers

Factor the quadratic equation: $x^2 - 5x + 6 = 0$

<p>$(x - 2)(x - 3) = 0$ (A)</p> Signup and view all the answers

Simplify: $\frac{x^5 * x^{-2}}{x^2}$

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

Simplify the rational expression: $\frac{x^2 - 4}{x - 2}$

<p>$x + 2$ (A)</p> Signup and view all the answers

Given the function $f(x) = 2x - 3$, find the value of $f(4)$:

<p>$5$ (C)</p> Signup and view all the answers

Flashcards

What is Algebra?

A branch of mathematics that uses symbols and rules to manipulate them.

What are Like Terms?

Terms that contain the same variable raised to the same power.

What is an Equation?

A statement that two algebraic expressions are equal.

What are Inverse Operations?

Using opposite operations to get the variable alone on one side.

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What is a Linear Equation?

An equation where the highest power of the variable is 1.

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What is a System of Equations?

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

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What is an Inequality?

A comparison of two algebraic expressions using symbols like <, >, ≤, or ≥.

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What is a Polynomial?

An expression with variables, coefficients, and non-negative integer exponents.

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What is Factoring?

Rewriting a polynomial as a product of two or more factors.

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What are Rational Expressions?

A fraction where the numerator and denominator are polynomials.

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