Gr 9 MATH: Ch 5.2 Expand and Simplify Algebraic Expressions

What is the correct order of operations in an algebraic expression without brackets?

Division, multiplication, addition, subtraction
Multiplication, division, subtraction, addition
Multiplication, division, addition, subtraction (correct)
Addition, subtraction, multiplication, division

What is the term for an algebraic expression with three terms?

Trinomial (correct)
Binomial
Polynomial
Monomial

What is the term for the number multiplying the variable in an algebraic expression?

Constant
Variable
Coefficient (correct)
Exponent

Why are brackets used in algebraic expressions?

To specify the order of operations (C) Signup and view all the answers

What is the first step in simplifying an algebraic expression?

Combine like terms (A) Signup and view all the answers

What is an algebraic expression that has the same numerical value as another expression for any given value of the variable?

Equivalent expression (B) Signup and view all the answers

According to convention, how should a known number be written in a product?

Before the variable (A) Signup and view all the answers

What is the result of applying the distributive property to the expression a(b + c)?

ab + ac (A) Signup and view all the answers

What is the result of multiplying a polynomial by a monomial?

Each term in the polynomial is multiplied by the monomial (C) Signup and view all the answers

What is the result of evaluating the expression (5x)^2?

25x^2 (D) Signup and view all the answers

What is the result of finding the square root of 16x^2?

4x (B) Signup and view all the answers

What is the result of dividing a polynomial by a monomial?

Each term in the polynomial is divided by the monomial (B) Signup and view all the answers

What is the result of applying the distributive property of division to the expression (x + y)/z?

(x/z) + (y/z) (B) Signup and view all the answers

What is the result of multiplying a polynomial by a monomial, if the monomial is 2x and the polynomial is x + 3?

2x^2 + 6x (D) Signup and view all the answers

What is the correct interpretation of the algebraic expression 2x + 5?

Multiply 2 by x, then add 5 (C) Signup and view all the answers

Which of the following expressions is equivalent to 3x^2 + 2x + 1?

x^2(3 + 2x) + 1 (D) Signup and view all the answers

What is the result of combining like terms in the expression 2x^2 + 3x - 4x^2 + x - 2?

-2x^2 + 4x - 2 (B) Signup and view all the answers

What is the correct sequence of operations in the expression 2x + 3(4 - 2x)?

Evaluate the expression inside the brackets, then multiply by 3, and finally add 2x (B) Signup and view all the answers

Which of the following expressions is a monomial?

3x^2 (C) Signup and view all the answers

What is the correct interpretation of the algebraic expression x^2 + 3x - 4?

Square x, then add 3, and finally subtract 4 (A) Signup and view all the answers

What is the result of simplifying the expression 2x + 3x + 4x - 2x?

5x (B) Signup and view all the answers

What is the result of applying the distributive property to the expression 2(x - 3) + 5?

2x - 6 + 5 (C) Signup and view all the answers

What is the result of multiplying the polynomial x^2 + 2x + 1 by the monomial 3x?

3x^3 + 6x^2 + 3x (D) Signup and view all the answers

What is the result of evaluating the expression (2x^2)^3?

8x^6 (C) Signup and view all the answers

What is the result of finding the cube root of 27x^3?

3x (B) Signup and view all the answers

What is the result of dividing the polynomial x^2 + 3x + 2 by the monomial x + 1?

x + 1 (D) Signup and view all the answers

What is the result of applying the distributive property to the expression (x + 2)/3?

x/3 + 2/3 (D) Signup and view all the answers

What is the result of multiplying the polynomial 2x^2 + 3x - 1 by the monomial -2x?

-4x^3 - 6x^2 + 2x (C) Signup and view all the answers

What is the result of evaluating the expression (3x^2)^2?

9x^4 (D) Signup and view all the answers