Algebraic Expressions

What does it mean to combine like terms?

• To multiply different variables together to create a new term.

• To simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

• To separate terms in an expression into distinct groups.

• To change the coefficients of the terms in an expression.

What is an algebraic expression?

• A mathematical phrase that contains at least one variable, a constant, and an operation (like addition or multiplication).

• A number that can be divided by another number without a remainder.

• A fixed numerical value that does not change.

• A statement that shows the relationship between two quantities.

What is the difference between an equation and an expression?

• An equation is a statement that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.

• An equation is a mathematical statement that includes an equality sign, while an expression does not include any variables.

• An equation is a type of expression that can only contain numbers, while an expression can contain both numbers and variables.

• An equation is always true, while an expression can be either true or false.

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.

What is the result of the expression 2(x + 3) when x = 4?

• 10

• 12

• 14

• 16

What is a variable in algebra?

• A constant value that does not change.

• A symbol (often a letter) that represents an unknown value in an expression or equation.

• A type of equation that has no solution.

• A numerical coefficient in a polynomial.

Combine like terms: 11g - 9g + 8g.

• 8g

• 9g

• 10g

• 12g

What is the coefficient in the expression 5x + 3?

• 3

• 5

• 7

• 10

What is the result of simplifying the expression 4a + 2a?

• 4a

• 2a

• 6a

• 8a

Evaluate the expression: 3m – 5t when m = 7 and t = 2.

• 9

• 10

• 11

• 12