Warm Up

Vocabulary

Variables Solve One-step equationDistributive property Solution termLike terms infinitely many solutions

Algebraic expression inverse operation two-step equations constants no solution unique solution coefficients

Linear equations in one variableAddition property of Equality additive inverseCube root Decimal expansion exponent

Exponential notation irrational Multiplication Property of Equality multiplicative inverses perfect

square radical rational scientific notation significant digits Square Root

Learning Targets

EQ: What vocabulary words will we learn during Unit 2?

Today I will receive vocabulary words and definitions for Unit 2 because this will allow me to speak and understand the language of the standards.

I can: Define one vocabulary word using my own terms.

Variable: A letter or symbol used to represent a number.

Define

Memory Cue

X + 3= 10

Define

Memory Cue

Solve: Identify the value that when substituted for the variable makes the equation a true statement.

X + 6 = 16 - 6 - 6 x = 10

Define

Memory Cue

One Step equation: equations that can be solved in one step

x + 3= 10 -3 = -3 x = 7

Define

Memory Cue

Two Step equation: equations that can be solved in two steps

7x + 3= 10 - 3 = -3 7x = 7 7 7 x = 1

Define

Memory Cue

Distributive Property: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products

Term: Parts of an expression or equation separated by +, =, or – signs

Define

Memory Cue

3x + 6x – 2 = 75

Define

Memory Cue

Solution - the set of all values which, when substituted for unknowns, make an equation true.

x2 = 16

x= 4 or x=-4

Define

Memory Cue

Like Terms: Monomials that have the same variable raised to the same power. Onlythe coefficients of like terms can be different.

3x + 6x – 2 = 75

Infinitely many solutions: This occurs when expressions on both sides of the equation are the same.

Define

Memory Cue

-18a + 3 = 3 – 18a

Define

Memory Cue

Algebraic Expression: A mathematical phrase involving at least one variable.Expressions can contain numbers and operation symbols.

4x+10

Inverse Operation: Pairs of operations that undo each other, for example, additionand subtraction are inverse operations and multiplication and division are inverse operations.

Define

Memory Cue

+6-6 0

3x3

Define

Memory Cue

Constant- a number on its own

4x+10

No solution: an equation in which the variable will cancel out and the constants are not equal

Define

Memory Cue

-7x + 7 = 19 – 7x

Unique solution: an equation in which the variable will not cancel out and the constants are not equal

Define

Memory Cue

6x + 9 = 19 – 7x

Define

Memory Cue

Coefficient: A number used to multiply a variable.

8x

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

Define

Memory Cue

6x + 9 = 19 – 7x

Define

Memory Cue

Addition Property of Equality: 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.

x + 19 = 19 + x

Additive Inverses: Two numbers whose sum is 0 are additive inverses of one another.

Define

Memory Cue

3/4 and – 3/4 are additive inverses of one another because 3/4 + (– 3/4) = (– 3/4) + 3/4 = 0.

Define

Memory Cue

Exponent: The number of times a base is used as a factor of repeated multiplication.

x2

Define

Memory Cue

8.9876098………………

Irrational: A real number whose decimal form is non-terminating and non-repeating that cannot be written as the ratio of two integers

Define

Memory Cue

8.98989898…

8

Rational: A number that can be written as the ratio of two integers with a nonzero denominator.

Define

Memory Cue

5.86 x 10

Scientific Notation: 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.

Define

Memory Cue

Perfect Square: A number that has a rational number as its square root.

16 100 -9 36

Define

Memory Cue

Square Root: 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.

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