Midterm Review

Front

What is the associative property of addition?

Back

The associative property of addition states that the way in which numbers are grouped when adding does not change the sum. For example, (a + b) + c = a + (b + c).

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression, even though it may look different. For example, 2(x + 3) is equivalent to 2x + 6.

Front

How do you find the number of servings in a pitcher?

Back

To find the number of servings in a pitcher, divide the total volume of the pitcher by the volume of one serving. For example, if a pitcher holds 2.8 liters and each serving is 0.4 liters, then 2.8 ÷ 0.4 = 7 servings.

Front

What is the definition of an integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

Front

How do you compare integers?

Back

To compare integers, look at their positions on the number line. The integer further to the right is greater. For example, -2 is greater than -5.

Front

What is the value of 3 squared?

Back

3 squared (3^2) is equal to 9.

Front

What is the order of operations?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

Front

What does it mean for a number to be greater than another number?

Back

A number is greater than another number if it is located to the right of that number on the number line. For example, -1 is greater than -2.

Front

What is the value of the expression 12 + 3^2 x 5?

Back

The value of the expression is 57. First, calculate the exponent: 3^2 = 9. Then multiply: 9 x 5 = 45. Finally, add: 12 + 45 = 57.

Front

What is a number line?

Back

A number line is a straight line that represents numbers as points. It typically has arrows on both ends and is marked with integers at equal intervals.