Algebraic Expressions: Parts and Properties
Explore the fundamental components and properties of algebraic expressions at a Grade 11 level, including terms, coefficients, variables, constants, and operations.
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Algebraic Expressions: Parts and Properties
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Read each question carefully and provide the best answer. Show all your work where applicable.
1. In the expression 5x² + 3x - 7, the number 5 is called the of x².
2. The letter 'x' in an algebraic expression is known as a .
3. A term in an expression that does not contain any variables is called a .
4. The expression 2x + 3y - 4z has terms.
5. Which of the following is the constant term in the expression 4y - 9 + 2x?
4y
-9
2x
y
6. What is the coefficient of the term 'm' in the expression 7n + m - 12?
7
-12
1
None of the above
7. The expression x² + y² is an example of a monomial.
True
False
8. Like terms must have the same variable(s) raised to the same power(s).
True
False
9. Identify all the terms, coefficients, variables, and constants in the expression: 3a² - 2ab + 5b - 10
10. Explain the difference between an algebraic expression and an algebraic equation.
Match each term with its correct definition.
11. Variable
a. A number multiplied by a variable.
12. Coefficient
b. A single number or product of numbers and variables.
13. Constant
c. A symbol (usually a letter) representing an unknown value.
14. Term
d. A term without a variable.
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