chapter 2 section

Question 1

what are linear equations

Answer 1

A linear equation is an equation for a straight line
these are linear equations.
y = 2x+1

Question 2

what steps are used to solve linear equations?

Answer 2

1) Clear fractions
2) simplify each side separately as much as possible using the distributive property to clear parenthesis and add like terms.
3) isolate the variable term
4) solve for the variable
5) check by substituting the value obtained in step 4 back into the equation.

Question 3

what is a Reflexive property?

Answer 3

a = a

7+7 or (x+5 = x+5)

Question 4

what is symmetric property?

Answer 4

if a = b then b = a

if y = x+9 then x+9=y

Question 5

what is transitive Property?

Answer 5

if a= b and b = c then a = c

if x=a and a=4y then x=4y

Question 6

what is a conditional equation?

Answer 6

when there is only one solution to a linear equation.

Question 7

what is a contradictory equation?

Answer 7

when there’s no solution to a linear equation.

ex) 3=2 never a true statement

Question 8

what is an identity equation?

Answer 8

when there is an infinite set of solutions. a set of all real numbers.
Ex)2-3=2-3 this statement is always true.

Question 9

How do you convert a mixed number to a whole number?

Answer 9

Multiply the denominator and the whole number then add the numerator.

Question 10

What is the 0 exponent rule?

Answer 10

if a is any non-zero real number then a^0=1

Question 11

What does exponential mean?

Answer 11

of or expressed by a mathematical exponent.
“an exponential curve”
(of an increase) becoming more and more rapid.
“the social security budget was rising at an exponential rate”

Question 12

What is interval notation

Answer 12

(-12,12)

Question 13

What is a solution set

Answer 13

-12

Question 14

What is the distance formula?

Answer 14

Distance = rate*time

Question 15

What is a compound inequality?

Answer 15

Is formed by joining two inequalities with the words or or.