Unit 2 Quiz: Solving Equations

Identity

*All numbers are a solution to the equation *in simplest form, both sides of an equation MATCH

No Solution

*no number solves an equation *in simplest form, both sides of an equation do NOT match

coefficient

A number placed in front of a variable/term

term

A number, a variable, or the product of a number and a variable

constant

A term without a variable

simplest form

An algebraic expression that has no like terms and no parentheses

Distributive Property

Multiplication can be distributed over addition or subtraction

Solution of an equation

a value for a variable that makes an equation true

2(x+1)+3x=5x+2

infinite solutions

clearing fractions from an equation

multiply each term by the common denominator

3(x+2)-4=3(x+2)-7

no solution

Declare a variable

specify what the variable represents in a story problem

like terms

terms that have the same variables with the exact same exponents

2(x + 1) + 4 = 12

x = 3

3x + 4 + 2x + 5 = 34

x = 5

9x+3=-6

x= -1

3(x-2)+2(x+1)=-14

x=-2

13-(2x+2)=2(x+2)+3x

x=1

3(5-x)-2(5+x)=3(x+1)

x=1/4 or 0.25

15 - 3(x - 1)=12

x=2

5(2-x)-3(4-2x)=20

x=22

2x-5=1

x=3

4x-1=15

x=4

-3(x + 3) + 15 = -12

x=6

7x=42

x=6