Solving Equations with Fractions and Decimals

What is the purpose of solving equations?

• To find the value of the variable that makes the equation true.

• To simplify the equation without finding any values.

• To create new equations from existing ones.

• To determine the number of solutions an equation can have.

What is the least common denominator (LCD)?

• The largest multiple that is common to the denominators of two or more fractions.

• The smallest multiple that is common to the denominators of two or more fractions.

• The sum of the denominators of two or more fractions.

• The difference between the denominators of two or more fractions.

What is an inverse operation?

• An operation that adds two numbers together.

• An operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.

• An operation that multiplies two numbers together.

• An operation that finds the square root of a number.

Solve the equation: 1.25x - 0.5 = 3.5

• x = 2.5

• x = 3.0

• x = 3.6

• x = 4.0

What is a decimal?

• A way of expressing whole numbers only.

• A method to represent numbers using a point to separate whole and fractional parts.

• A type of fraction that cannot be expressed as a whole number.

• A mathematical operation involving addition and subtraction.

What does it mean to simplify an expression?

• To reduce an expression to its simplest form by combining like terms and eliminating unnecessary elements.

• To make an expression longer and more complex.

• To change the variables in an expression to different values.

• To convert an expression into a graphical representation.

What is a fraction?

• A fraction is a whole number.

• A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

• A fraction is a type of decimal number.

• A fraction is a mathematical operation involving addition.

How do you isolate a variable in an equation?

• By adding the same number to both sides of the equation until the variable is alone on one side.

• By performing inverse operations to both sides of the equation until the variable is alone on one side.

• By multiplying both sides of the equation by the variable's coefficient.

• By dividing both sides of the equation by the variable's exponent.

What is the first step in solving a multi-step equation?

• To simplify both sides of the equation, which may include combining like terms and eliminating fractions or decimals.

• To isolate the variable on one side of the equation.

• To multiply both sides of the equation by a common denominator.

• To add or subtract terms from both sides of the equation.

If f ÷ 0.8 = 7, what is f?

• 5.6

• 6.4

• 7.2

• 8.0