Algebraic Expressions

What is the purpose of simplifying an algebraic expression?

• To make the expression easier to work with and understand.

• To make the expression more complex and difficult to analyze.

• To eliminate all variables from the expression.

• To convert the expression into a graphical representation.

What does the term 'coefficient' refer to in algebra?

• A coefficient is a numerical factor in a term of an algebraic expression.

• A coefficient is a variable that represents an unknown value.

• A coefficient is a constant that does not change in an equation.

• A coefficient is a type of algebraic expression that contains no variables.

What does it mean to evaluate an expression?

• To find the value of an expression by substituting numbers for the variables.

• To simplify an expression without calculating its value.

• To rewrite an expression in a different form without changing its value.

• To compare the values of two different expressions.

What is the result of 2x + 3x?

• 4x

• 5x

• 6x

• x

What is the difference between a term and a polynomial?

• A term is a single mathematical expression, while a polynomial is a sum of two or more terms.

• A term can only be a number, while a polynomial can include variables.

• A term is always a constant, while a polynomial is always a variable.

• A term is a sum of multiple expressions, while a polynomial is a single expression.

What is the term for the highest power of a variable in a polynomial?

• The coefficient of the polynomial.

• The constant term of the polynomial.

• The degree of the polynomial.

• The leading term of the polynomial.

How do you combine like terms in an expression?

• By multiplying the coefficients of terms that have the same variable raised to the same power.

• By adding or subtracting the coefficients of terms that have the same variable raised to the same power.

• By dividing the coefficients of terms that have different variables.

• By ignoring the coefficients and only focusing on the variables.

Which verbal expression represents 3(4-x)?

• Three times the quantity x less than four.

• Three times four minus x.

• Three times the difference of four and x.

• Three times four plus x.

Evaluate (y + z)² when y=5 and z=2.

• 36

• 49

• 64

• 25

Calculate (3+4) x (3+5).

• 42

• 56

• 48

• 36