Unit 1-4 Regents Questions

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve the equation: 3(x + 2) = 21. What property is used?

Back

Distributive Property: 3x + 6 = 21.

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped does not change their sum or product. For example, (a + b) + c = a + (b + c).

Front

Solve the equation: 4(x + 2) = 28. What property is used?

Back

Distributive Property: 4x + 8 = 28.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change the sum or product. For example, a + b = b + a.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number. For example, a + 0 = a.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying any number by one does not change the number. For example, a × 1 = a.

Front

Solve the equation: 2(6x² – 3) = 11x² – x. What property is used?

Back

Distributive Property of Multiplication over Subtraction.

Front

What is the Subtraction Property of Equality?

Back

The Subtraction Property of Equality states that if you subtract the same number from both sides of an equation, the two sides remain equal.

Front

Solve the equation: 12x² – 7x = 6 – 2(x² – 1). What property is used?

Back

Distributive Property of Multiplication over Subtraction.