2024 Math 7 Final Review

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

An exponent is a number that indicates how many times to multiply the base number by itself. For example, in $$4^2$$ , 4 is the base and 2 is the exponent, meaning $$4 * 4$$ .

You solve the exponent first, so $$4^2 = 16$$ .

The result is -2.

The product is positive, so $$-6 * (-9) = 54$$ .

The product is negative, so $$-7 * 6 = -42$$ .

To find the unit rate, divide the total cost by the total quantity. For example, if a box of cereal costs $3.59 for 30 oz, the unit rate is $$\frac{3.59}{30} = 0.11967$$ , which rounds to 12 cents per ounce.

A unit rate is a comparison of two different quantities when they are combined together. It expresses the amount of one quantity per one unit of another quantity.

The result is -5.

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, $$| -5 | = 5$$ .