Mathematics Flashcard

Front

Which of the following is an example of a rational number? Options: √50, π, 2/3, -√50

Back

2/3 is a rational number because it can be expressed as a fraction of two integers.

Front

Which property of equality allows you to replace a variable with its equivalent expression? Options: Substitution Property of Equality, Addition Property of Equality, Multiplication Property of Equality, Division Property of Equality

Back

The Substitution Property of Equality allows you to replace a variable with its equivalent expression.

Front

Solve for x in the equation: 7/(x-8) = 3/x. Options: x = 4, x = 7, x = 6, x = 5

Back

x = 4 is the solution to the equation.

Front

Translate the statement: "Five less than the product of a number and 3 is 14." Options: 3x - 5 = 14, 5 - 3x = 14, 3x + 5 = 14, 5x - 3 = 14

Back

The correct translation is 3x - 5 = 14.

Front

Name the property that justifies the statement: 5x + 1 = 1 + 5x. Options: Commutative Property of Addition, Associative Property of Addition, Distributive Property, Identity Property of Addition

Back

The property is the Commutative Property of Addition.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b ≠ 0.

Front

What is the Substitution Property of Equality?

Back

The Substitution Property of Equality states that if two values are equal, one can be substituted for the other in any expression.

Front

How do you solve the equation 7/(x-8) = 3/x?

Back

Cross-multiply to get 7x = 3(x - 8), then solve for x.

Front

Translate the phrase: "The sum of a number and 5 is 20."

Back

The translation is x + 5 = 20.

Front

What does the Commutative Property of Addition state?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum.