6 Questions
What property or process should be applied to simplify an expression that involves combining like terms and multiplying terms?
Distributive property
To solve a single-variable equation that includes both rational expressions and quadratics, which method should be used?
Factoring quadratics
When dealing with radicals (square roots) in expressions, which property can be utilized?
Raising a power to a power
What should be done when faced with writing an equation for the line that passes through two given points?
Graphing the points and finding the line
Which method is primarily used to solve a system of linear equations or inequalities in the coordinate plane?
Graphing inequalities on a number line
In which scenarios would knowing and applying the formula for the volume of a rectangular prism be essential?
Calculating three-dimensional shapes
Study Notes
Simplifying Expressions
- Apply the distributive property to simplify expressions
- Combine like terms to simplify expressions
- Multiply terms and binomials to simplify expressions
- Raise a power to a power to simplify expressions
Rational Expressions
- Subtract rational expressions
- Multiply rational expressions
- Divide a polynomial by a monomial to simplify rational expressions
Radical Expressions
- Simplify radical expressions
- Factor polynomials to simplify radical expressions
Solving Equations and Inequalities
- Solve single-variable equations that include variables on both sides
- Solve single-variable equations with rational expressions
- Solve quadratic equations by factoring and using the Zero Product Property
- Solve equations with absolute values
- Solve equations with radicals (square roots)
- Solve one-variable inequalities, including those with absolute value
Systems of Equations
- Solve multiple-variable equations algebraically (not using graphing)
Graphing and Lines
- Graph inequalities on a number line
- Graph a linear equation in the coordinate plane, recognizing and using slope/intercept
- Graph a system of linear equations or inequalities in the coordinate plane
- Recognize perpendicular and parallel lines from their equations
- Write an equation of a line passing through two points
Word Problems
- Write a mathematical expression for a word phrase
- Write mathematical equations (one or a system) to represent word problems and solve
Formulas
- Apply the formula for the area of a circle
- Apply the formula for the area of a square
- Apply the formula for the volume of a rectangular prism
This quiz covers simplifying expressions using various properties, such as the distributive property and combining like terms, as well as solving equations with variables on both sides and rational expressions. You will also practice multiplying, dividing, and factoring polynomial expressions.
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