Chapter 1
-54 = 9s
s = -6
Graph the inequality:
1/4 < p
←○➡
1/4
Find line AC.
A 8 B 14 C
•-----•-----•
AC=22
Write the negation of this statement
Boys are better than girls.
Boys are NOT better than girls.
Write the converse to this theorem:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.
If two parallel lines are not cut by a transversal, then the pairs of consecutive interior angles are not supplementary.
2 (1 - x) + 3 = -8
x = 6.5
Sole the inequlity:
3w-5>2w+w-7
all real numbers
Find the distance between the two points: C(-6,5) and D(-3,1).
5
Use the Law of Detachment to determine what you can conclude about the following: if you pass the final then you pass the class. You passed the final.
You passed the class.
a b c ↕ ↕ ↕
a is parallel to b and a is parallel to c.
Yes or no? If yes, thereom:
Yes, Transitive property of parallel lines
How many solutions does this equation have?
3 (5x + 2) = 15x
No Solution
6=0
Sole the inequality:
8n+2≤8n-9
no solution
The endpoints of the line RS and R(1,-3) and S(4,2). Find the coordinates of the midpoint.
5 -1
— , — or 2.5 , -0.5
2 2
Name the property that the following two statements illustrate
<B=<B
Reflexive property
Find the distance from point (4,8) to the line y=x+6 then use the distance formula.
points=3,9
distance formula=1.4
2 l4w - 1l = 3 l4w + 2l
w = -2
w = -0.2
Write the sentence as an inequality:
A number r is no less than -1.5 and fewer than 9.5.
-1.5≤r<9.5
Point B is the midpoint of the line AB, find the length of VM.
A 4x-1 B 3x+3 C
•----I----•----I----•
15
Use the law of syllogism to write a new conditional statement if possible:
If x<-2, then |x|>2. If x>2, then |x|>2
NOT POSSIBLE
Find the distance from point (1,0) to the line y=x+4. Then use the distance formula to find the distance from your given point to the point you created.
points: -1.5,2.5
distance formula: 3.5
2 + 1/6y = 3x + 4
y = 18x + 12
You earn $12 per hour babysitting on weekends. You want to buy a new tablet that costs $300. Write and solve an inequality that represents the number of hours you need to work to be able to buy the tablet.
x≥25
Plot the following sets of points in a coordinate plane the determine if line AB and line CD are parallel.
Yes.
Use the given property to complete the statements:
Substitution Property of Equality
If AB=20, then AB+CD=__
20+CD
Given:m<1=115, m<2=65
Prove:m is parallel to n.
--------------------------------- m
1 \
\
\
\
2 \
--------------------------------- n
Statements
m<1=115, m<2=65
115+65=180
m<1+m<2=180
m is parallel to n
m is parallel to n
Reasons
Given
Addition property of equality
Def. of supplementary angles
Consecutive interior angles converse
Def. of parallel lines