Parts of an Expression - Grade 12 Algebra

Parts of an Expression - Grade 12 Algebra

Read each question carefully and provide the best answer. Show all your work where applicable.

For the expression: \( 5x^2 - 7xy + 3y - 12 \)

1. Identify all the terms in the expression.

2. List the coefficients.

3. What are the variables present?

4. State the constant term.

Complete the sentences below with the correct terminology.

1. In the term \( -8a^3b \), the number -8 is called the  .

2. A letter used to represent an unknown value in an expression is known as a  .

3. Parts of an expression separated by addition or subtraction signs are called  .

4. A number in an expression that does not change its value is a  .

Determine if each statement is True (T) or False (F).

1. The expression \( 3x + 2y - 5 \) has three terms.

2. In the term \( \frac{x}{4} \), the coefficient of x is 4.

Choose the best answer for each question.

1. Which of the following is a constant term in the expression \( 2p^2 + q - 10pq + 15 \)?

2. How many terms are in the expression \( 7(x+y) - z^2 \)?

Consider the expression: \( \frac{3}{4}m^3n - \sqrt{5}m + (k-2)n^2 + 7.5 \)

1. What is the coefficient of the term containing \( m^3n \)?

2. Identify the coefficient of \( m \).

3. What is the coefficient of \( n^2 \)?

4. List all the variables in the expression.