Vocabulary for Solving Equation

What are "like terms" in an algebraic expression?

• Terms that have the same variable raised to the same power

• Terms that have different variables

• Terms that have the same coefficients

• Terms that are constants

Answer explanation

'Like terms' are terms that have the same variable raised to the same power, allowing them to be combined in algebraic expressions. The other options do not accurately define like terms.

Which of the following is an inverse operation of addition?

• Multiplication

• Subtraction

• Division

• Exponentiation

Answer explanation

Subtraction is the inverse operation of addition because it undoes the effect of adding a number. For example, if you add 5 to 3 (resulting in 8), subtracting 5 from 8 returns you to 3.

Which of the following is an inverse operation of subtraction?

• Addition

• Multiplication

• Division

• Exponentiation

Answer explanation

Addition is the inverse operation of subtraction because it reverses the effect of subtracting a number. For example, if you subtract 3 from 5 (5 - 3 = 2), adding 3 back to 2 (2 + 3 = 5) returns you to the original number.

Which of the following is an inverse operation of multiplication?

• Addition

• Subtraction

• Division

• Exponentiation

Answer explanation

The inverse operation of multiplication is division. While multiplication combines numbers, division separates them, effectively undoing the multiplication process.

What is a coefficient ?

• A variable

• a constant

• The number in from of the variable

• An Equation

Which of the following is an inverse operation of division?

• Addition

• Subtraction

• Multiplication

• Exponentiation

Answer explanation

Multiplication is the inverse operation of division because it reverses the effect of dividing a number. For example, if you divide 10 by 2 to get 5, multiplying 5 by 2 returns you to 10.

What is an equation?

• A mathematical statement that shows the relationship between different quantities

• A number without a variable

• A collection of numbers and variables

• A mathematical operation like addition or subtraction

Answer explanation

An equation is defined as a mathematical statement that shows the relationship between different quantities, making the first choice the correct answer. The other options do not accurately describe what an equation is.

What does "isolation" mean in the context of solving equations?

• Combining like terms

• Getting the variable alone on one side of the equation

• Adding numbers to both sides

• Multiplying both sides by the same number

Answer explanation

In solving equations, 'isolation' refers to getting the variable alone on one side of the equation. This is essential for finding the value of the variable, making it the correct choice among the options provided.

Which of the following is a pair of like terms

Answer explanation

Like terms have the same variable parts. Here, -5xy and 7yx are like terms because 7yx can be rewritten as 7xy, matching the variable part of -5xy. The other pairs have different variable components.

_______________ have exactly the same variables and the same exponents.

• Variables

• Like Terms

• Coefficients

• Rational Numbers

Answer explanation

Like terms are terms that have exactly the same variables raised to the same exponents. This means they can be combined in algebraic expressions, unlike unlike terms which differ in either variables or exponents.