50 Questions
What is the correct order of operations in an algebraic expression with no brackets?
Multiplication and division, then addition and subtraction
What is the term for an algebraic expression with one term?
Monomial
What should be calculated first in an algebraic expression with brackets?
Terms inside the brackets
What is the purpose of algebraic language?
To describe sequences of calculations
What is an algebraic expression that has the same numerical value as another expression for any given value of the variable?
Equivalent expression
What is the convention for writing the numerical coefficient in a monomial?
Write the coefficient first, then the variable
What is the term for an algebraic expression with three terms?
Trinomial
What should be performed from left to right in expressions without brackets?
Addition and subtraction
What is the symbol commonly used to represent the variable in an algebraic expression?
x
What is the correct way to write an algebraic expression?
Omit the multiplication sign between terms
What is the correct order of operations when evaluating an algebraic expression?
Expressions in brackets, then multiplication and division, then addition and subtraction
What is the term for an expression with one term, such as 3x^2?
Monomial
What is the result of expanding the product of two binomials (x + a)(x + b)?
x^2 + (a + b)x + ab
What is the result of squaring the binomial (a + b)?
a^2 + 2ab + b^2
What is the purpose of simplifying an algebraic expression?
To combine like terms and eliminate unnecessary variables
What is the result of dividing a polynomial by a monomial?
Each term in the polynomial is divided by the monomial
What is the distributive property of division?
(x + y)/z = (x/z) + (y/z)
What is the result of expanding the product of two binomials (x - y)(x + z)?
x^2 + (z - y)x - yz
What is the purpose of substituting values into algebraic expressions?
To check for equivalence and simplification
What is the correct way to write the product of a number and a variable in an algebraic expression?
Write the number first, then the variable
What is the result of expanding the product of two binomials (x + 2)(x + 3)?
x^2 + 5x + 6
What is the simplified form of the expression 2x + 3x^2 + 5x - 4x^2?
-x^2 + 7x
What is the result of evaluating the expression 2x^2 + 3x - 4 when x = 2?
10
What is the result of dividing the polynomial 6x^2 + 2x - 3 by the monomial 2x?
3x + 1 - 3/2x
What is the result of simplifying the expression 2x^2 + 3x + 4x^2 + 5x?
6x^2 + 8x
What is the result of evaluating the expression x^2 + 2x - 3 when x = -1?
4
Which of the following algebraic expressions has the same numerical value as $2x + 3$ for any given value of $x$?
$(2 + 1)x + 3$
What is the result of expanding the product of two binomials (2x + 3)(x + 2)?
2x^2 + 7x + 6
What is the correct sequence of operations when evaluating the algebraic expression $2 * (3 + 4) - 1$?
Add 3 and 4, then multiply by 2, and finally subtract 1
Which of the following is a correct convention for writing algebraic expressions?
Always write the known number first in a product
What is the simplified form of the expression 3x^2 + 2x + 5x^2 - 3x?
8x^2 - x
What is the result of evaluating the expression 3x^2 + 2x - 4 when x = 1?
1
What is the term for an algebraic expression that consists of a sum of two monomials?
Binomial
Which of the following algebraic expressions is not a monomial?
$2x + 3$
What is the result of dividing the polynomial 3x^2 + 2x - 4 by the monomial x?
3x + 2 - 4/x
What is the correct way to evaluate the algebraic expression $3x + 2 + 5 - 2$?
Add 3x, 2, and 5, then subtract 2
Which of the following is a correct description of the variable term in an algebraic expression?
The variable term is the part of the expression that is not a number
What is the correct way to evaluate the algebraic expression $2x * 3 + 4$?
Multiply 2x and 3, then add 4
Which of the following algebraic expressions is equivalent to $(x + 2)(x + 3)$?
$x^2 + 5x + 6$
What is the correct way to describe the sequence of operations in the algebraic expression $(2x + 1) + 3$?
Evaluate the expression within the brackets first, then add 3
What is the result of expanding the product of two binomials $(x + 2y)(x - 3y)$?
$x^2 - 5y^2 + 2xy$
What is the result of simplifying the expression $2x^2 + 3x + 4x^2 + 5x - 3x^2$?
$3x^2 + 8x$
What is the result of dividing the polynomial $6x^2 + 2x - 3$ by the monomial $2x$?
$3x + 1 - \frac{3}{2x}$
What is the result of evaluating the expression $(2x + 3)(x + 2)$ when $x = 1$?
$13$
What is the result of simplifying the expression $3x^2 + 2x + 5x^2 - 3x$?
$8x^2 - x$
What is the result of expanding the product of two binomials (x + 1)(x + 2)?
x^2 + 4x + 2
Simplify the expression 2x + 3x^2 + 5x - 4x^2.
-x^2 + 7x
What is the result of evaluating the expression x^2 + 2x - 3 when x = 4?
21
What is the result of dividing the polynomial 3x^2 + 2x - 4 by the monomial x?
3x + 2 - 4/x
What is the result of expanding the product of two binomials (2x + 3)(x + 2)?
2x^2 + 7x + 6
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