7.PFA.2 Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

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.

Front

Translate the phrase 'Twice a number, n, decreased by six' into an algebraic expression.

Back

2n - 6

Front

What is the product of a number and a constant?

Back

The product of a number and a constant is the result of multiplying the number by the constant. For example, if the number is m and the constant is 4, the product is 4m.

Front

Translate the phrase 'Eight less than the product of four and a number, m' into an algebraic expression.

Back

4m - 8

Front

What is the quotient of two numbers?

Back

The quotient of two numbers is the result of dividing one number by another. For example, the quotient of 4 and n is represented as \( \frac{4}{n} \).

Front

How do you represent 'increased by' in an algebraic expression?

Back

'Increased by' indicates addition. For example, 'x increased by 10' is represented as x + 10.

Front

What does 'decreased by' mean in algebraic expressions?

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'Decreased by' indicates subtraction. For example, 'y decreased by 5' is represented as y - 5.

Front

Evaluate the expression (18 - ab) + 4b if a = -2 and b = -5.

Back

-12

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents an unknown value (e.g., x, n), while a constant is a fixed value (e.g., 5, -3).