Translate and Solve Equations

Front

What does it mean to translate a verbal expression into an algebraic equation?

Back

Translating a verbal expression into an algebraic equation involves converting words describing a mathematical relationship into symbols and numbers that represent that relationship mathematically.

Front

How do you represent 'the product of 4 and a number' in algebraic form?

Back

It is represented as 4n, where n is the variable representing the unknown number.

Front

What is the algebraic representation of 'increased by' in an equation?

Back

'Increased by' indicates addition. For example, 'a number increased by 10' is represented as n + 10.

Front

How do you express 'the quotient of a number and -9' in algebraic terms?

Back

It is expressed as n / -9, where n is the variable.

Front

What does 'twice a number' mean in algebra?

Back

'Twice a number' means to multiply the number by 2, represented as 2n.

Front

How do you translate 'seven less than twice a number' into an equation?

Back

It is translated as 2n - 7.

Front

What does 'is' signify in an equation?

Back

'Is' signifies equality and is represented by the equals sign (=). For example, 'x is 5' is written as x = 5.

Front

How do you solve the equation 4n + 17 = 5 for n?

Back

To solve for n, subtract 17 from both sides to get 4n = -12, then divide by 4 to find n = -3.

Front

What is the first step in solving the equation n / -9 + 10 = 11?

Back

The first step is to isolate the term with n by subtracting 10 from both sides, resulting in n / -9 = 1.

Front

How do you solve the equation 2n - 5 = 7 for n?

Back

Add 5 to both sides to get 2n = 12, then divide by 2 to find n = 6.