December Break Assignment Algebra 1

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What is interval notation?

Back

Interval notation is a way of representing a range of numbers on a number line. It uses brackets and parentheses to indicate whether endpoints are included or excluded.

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What does the notation [-5, ∞) represent?

Back

The notation [-5, ∞) represents all real numbers greater than or equal to -5.

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How do you solve a system of equations?

Back

To solve a system of equations, you can use methods such as substitution, elimination, or graphing to find the values of the variables that satisfy all equations in the system.

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What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

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How can you determine if a relation is a function?

Back

To determine if a relation is a function, check if any x-value is paired with more than one y-value. If it is, then it is not a function.

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What does cross-multiplication mean in solving equations?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other and setting the two products equal to each other.

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What is the formula for finding the total value of coins?

Back

The total value of coins can be found using the formula: (number of dimes × 0.10) + (number of nickels × 0.05) = total value.

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What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that can be solved together.

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What does it mean for a ticket sales problem to be represented by equations?

Back

It means that the relationships between the number of tickets sold and the total revenue can be expressed mathematically using equations.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients in a linear equation represent the rate of change or slope of the line, indicating how much the dependent variable changes for a unit change in the independent variable.