PSSA Math Vocab Practice Part 1

Subtraction Property of Equality

• A replacement value for the variable in an open sentence. A value for the variable that makes an equation true. Example: The solution of 12 = x + 7 is 5.

• If you subtract the same number from each side of an equation, the two sides remain equal. For any numbers a, b, and c, if a = b, then a - c = b - c.

  Example: if x = 3, then x - 2 = 3 - 2.

• Pairs of operations that undo each other. Examples: Addition and subtraction are inverse operations. Multiplication and division are inverse operations.

• If you divide each side of an equation by the same nonzero number, the two sides remain equal.

Solution

• A replacement value for the variable in an open sentence. A value for the variable that makes an equation true. Example: The solution of 12 = x + 7 is 5.

• If you subtract the same number from each side of an equation, the two sides remain equal. For any numbers a, b, and c, if a = b, then a - c = b - c.

  Example: if x = 3, then x - 2 = 3 - 2.

• Pairs of operations that undo each other. Examples: Addition and subtraction are inverse operations. Multiplication and division are inverse operations.

• If you divide each side of an equation by the same nonzero number, the two sides remain equal.

Inverse Operations

• A replacement value for the variable in an open sentence. A value for the variable that makes an equation true. Example: The solution of 12 = x + 7 is 5.

• If you subtract the same number from each side of an equation, the two sides remain equal. For any numbers a, b, and c, if a = b, then a - c = b - c.

  Example: if x = 3, then x - 2 = 3 - 2.

• Pairs of operations that undo each other. Examples: Addition and subtraction are inverse operations. Multiplication and division are inverse operations.

• If you divide each side of an equation by the same nonzero number, the two sides remain equal.

Division Property of Equality

• A replacement value for the variable in an open sentence. A value for the variable that makes an equation true. Example: The solution of 12 = x + 7 is 5.

• If you subtract the same number from each side of an equation, the two sides remain equal. For any numbers a, b, and c, if a = b, then a - c = b - c.

  Example: if x = 3, then x - 2 = 3 - 2.

• Pairs of operations that undo each other. Examples: Addition and subtraction are inverse operations. Multiplication and division are inverse operations.

• If you divide each side of an equation by the same nonzero number, the two sides remain equal.

Addition Property of Equality

• A letter or other symbol used to represent an unspecified number or value.

• An expression of the form xn, read x to the nth power. Example: 74 is 7 raised to the fourth power, or 7 x 7 x 7 x 7

• A statement that is true for any numbers or variables.

• If you add the same number to each side of an equation, the two sides remain equal. For any numbers a, b, and c, if a = b, then a + c = b + c.

  Example: If x = 3, then x + 5 = 3 + 5.

Variable

• A letter or other symbol used to represent an unspecified number or value.

• An expression of the form xn, read x to the nth power. Example: 74 is 7 raised to the fourth power, or 7 x 7 x 7 x 7

• A statement that is true for any numbers or variables.

• If you add the same number to each side of an equation, the two sides remain equal. For any numbers a, b, and c, if a = b, then a + c = b + c.

  Example: If x = 3, then x + 5 = 3 + 5.

Property

• A letter or other symbol used to represent an unspecified number or value.

• An expression of the form xn, read x to the nth power. Example: 74 is 7 raised to the fourth power, or 7 x 7 x 7 x 7

• A statement that is true for any numbers or variables.

• If you add the same number to each side of an equation, the two sides remain equal. For any numbers a, b, and c, if a = b, then a + c = b + c.

  Example: If x = 3, then x + 5 = 3 + 5.

Powers

• A letter or other symbol used to represent an unspecified number or value.

• An expression of the form xn, read x to the nth power. Example: 74 is 7 raised to the fourth power, or 7 x 7 x 7 x 7

• A statement that is true for any numbers or variables.

• If you add the same number to each side of an equation, the two sides remain equal. For any numbers a, b, and c, if a = b, then a + c = b + c.

  Example: If x = 3, then x + 5 = 3 + 5.

Perfect Square

• P

  E

  M/D

  A/S

  1. Evaluate expressions inside grouping symbols.

  2. Evaluate all powers.

  3. Do all multiplications and/or divisions from left to right.

  4. Do all additions and/or subtractions from left to right.

• Terms that contain the same variables raised to the same power. Example: 5x2and 6x2 are like terms.

• A number whose square root is a rational number. Example: 25 is a perfect square since 25 = 52

• A mathematical expression that has a combination of numbers and at least one operation. 4 + 2 x 3 is a numerical expression.

Order of Operations

• P

  E

  M/D

  A/S

  1. Evaluate expressions inside grouping symbols.

  2. Evaluate all powers.

  3. Do all multiplications and/or divisions from left to right.

  4. Do all additions and/or subtractions from left to right.

• Terms that contain the same variables raised to the same power. Example: 5x2and 6x2 are like terms.

• A number whose square root is a rational number. Example: 25 is a perfect square since 25 = 52

• A mathematical expression that has a combination of numbers and at least one operation. 4 + 2 x 3 is a numerical expression.