For real numbers a, b, and c, if a = b, then a + c = b + c. In other words, adding the same number to each side of an equation produces an equivalent equation.
The sum of a number and its additive inverse is zero. Also called the opposite of a number. Example: 5 and -5 are additive inverses of each other.
A mathematical phrase involving at least one variable. Expressions can contain numbers and operation symbols.
If the cube root of a number b is a (i.e., 3b= a), then a3 = b.
The decimal expansion of a number is its representation in base 10 (i.e., the decimal system). For example, the decimal expansion of 252 is 625, of π is 3.14159..., and of 91 is 0.1111....
A mathematical sentence that contains an equals sign.
Evaluate an Algebraic Expressioin
To perform operations to obtain a single number or value.
The number of times a base is used as a factor of repeated multiplication.
Pairs of operations that undo each other, for example, addition and subtraction are inverse operations and multiplication and division are inverse operations.
A real number whose decimal form is non-terminating and non-repeating that cannot be written as the ratio of two integers.
Monomials that have the same variable raised to the same power. Only the coefficients of like terms can be different.
Linear Equation in One Variable
An equation that can be written in the form ax + b = c where a, b, and c are real numbers and a ≠ 0
Multiplication Property of Equality
For real numbers a, b, and c (c ≠ 0), if a = b, then ac = bc. In other words, multiplying both sides of an equation by the same number produces an equivalent expression.
Two numbers that when multiplied together equal 1, for example, 4 and ¼.
A number that has a rational number as its square root.
A symbol that is used to indicate square roots.
A number that can be written as the ratio of two integers with a nonzero denominator.
A representation of real numbers as the product of a number between 1 and 10 and a power of 10, used primarily for very large or very small numbers.
A way of describing how precisely a number is written.
The value or values of a variable that make an equation a true statement
Identify the value that when substituted for the variable makes the equation a true statement.
One of two equal factors of a nonnegative number. For example, 5 is a square root of 25 because 5 • 5 = 25. Another square root of 25 is -5 because (-5) • (-5) = 25. The +5 is called the principle square root of 25 and is always assumed when the radical symbol is used.