Chapter 7 Test: Algebra

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What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 2 is an algebraic expression.

Front

Define a variable in algebra.

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 2x + 3, 'x' is the variable.

Front

What is the purpose of solving an equation?

Back

The purpose of solving an equation is to find the value of the variable that makes the equation true.

Front

What does it mean to round a number?

Back

Rounding a number means adjusting it to a nearby specified value, often to make it simpler or easier to work with. For example, rounding 4.789 to the nearest cent gives 4.79.

Front

What is a function in algebra?

Back

A function is a relation that assigns exactly one output for each input. For example, f(x) = 2x + 3 is a function.

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What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.

Front

How do you find the total amount in a word problem?

Back

To find the total amount, identify the quantities involved, perform the necessary calculations (addition, multiplication, etc.), and round if required.

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What is a sequence in mathematics?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule. For example, 2, 4, 6, 8 is a sequence of even numbers.

Front

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

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables. A positive slope means the line rises, while a negative slope means it falls.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with specific numbers.