Unit 1-5 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: 4(x + 2) = 28. What is the first step?

Back

Use the Distributive Property: 4x + 8 = 28.

Front

What is the Associative Property?

Back

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

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 their 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

What is the Multiplicative Inverse?

Back

The Multiplicative Inverse of a number a is 1/a, such that a × (1/a) = 1.

Front

Solve: 3(x + 2) = 21. What is the first step?

Back

Use the Distributive Property: 3x + 6 = 21.

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

What is the Multiplication Property of Equality?

Back

The Multiplication Property of Equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal.