One &Two Variables Statistics
Linear System of Equations
Functions
Construction and Rigid Transformations
Congruence
100
What is the slope?
y= 3x + 4
3
100
y = 2x +5
y = 2x +1
How many solution(s) does the system of equations have?
Same slope and different y-intercept result in parallel lines and no solutions.
100
A tank contained 80 liters of water. The function w represents the relationship between t, time in minutes, and the amount of water in the tank in liters. The equation w(t)= 80 - 2.5t defines this function.
- How much water will be in the tank after 13 minutes?
- 47.5 liters
100
Describe the rigid motion shown?
Pre-image was translated right 1 unit and down 2 units.
100
What are the three rigid motion that take congruency?
reflection
enlargement
translation
rotation
reflection, translation, and rotation
200
What is the value of x?
2x -14 = 24
x=19
200
Solve the following for the value of y?
x + 2y = 7
x=3
y=2
200
The equation defines a function. Write an equation for the inverse function.
f(x) = 64 + 5x
x =(f(x) - 64)/5
200
What are the three rigid transformation?
Reflection
translation
Rotation
200
True or False,
We can prove a triangle congruency by knowing two corresponding side and one between angle.
True, side-angle side
300
A man work five days. His hours are given below.
Days Hours
Monday 8
Tuesday 10
Wednesday 15
Thursday 10
Friday 12
What is his mean hours worked?
11
300
At a pastry store a slice of cake and a drink is sold for $7. Another combo is 2 slices of cakes and a drink is sold for 9.
Use c to represent cake and d for drink.
Write a system of equations to model the problem.
c + d =7
2c + d = 9
300
Function f gives the temperature, in degrees Celsius, t hours after midnight.
Use function notation to write an equation or expression for each statement.
- The temperature at 12 p.m.
f(12)
300
Which rigid motion is done by turning?
Rotation
300
What is form when a parallelogram is diagonal bisect it?
Two triangle are form with corresponding side and angles since opposite sides of parallelograms are equal. The diagonal forming the third side would is the same line segment for both triangles making them congruent.
400
What is the slope and the y-intercept of the given equation?
3x - 2y = 14
Slope = - 3/2
y-intercept = 7
400
Solve the following:
3x + 4y = 12
3x + 2y = 16
y = -2
x= 6.6
400
Automobiles start losing value, or depreciating, as soon as they leave the car dealership. Five years ago, a family purchased a new car that cost $16,490.
If the car lost 13% of its value each year, what is the value of the car now?
About $8,218.96
400
Translate to the left 6 unit then rotation at the center of a'c' 180
400
Each statement is always true. Select all statements for which the converse is also always true.
A:
Statement: If 2 angles are vertical, then they are congruent. Converse: If 2 angles are congruent, then they are vertical.
B:
Statement: If 2 lines are perpendicular, then they intersect to form 4 right angles. Converse: If 2 lines intersect to form 4 right angles, then they are perpendicular.
C:
Statement: If a point is equidistant from the 2 endpoints of a segment, then it lies on the perpendicular bisector of the segment. Converse: If a point lies on the perpendicular bisector of a segment, then it is equidistant from the 2 endpoints of the segment.
D:
Statement: In an isosceles triangle, the base angles are congruent. Converse: If the base angles of a triangle are congruent, then the triangle is isosceles.
E:
Statement: If 2 angles form a straight angle, then they are supplementary. Converse: If 2 angles are supplementary, then they form a straight angle.
B, C, D
500
Find the mean and median of 90, 100, 90, 80, 100.
mean=92
median = 90
500
Solve the following system of equations
3y + 4x = 14
2y + 2x = 6
x=5 and y = -2
500
A bank account pays 0.5% monthly interest.
- If $500 is put in the account, what will the balance be at the end of one year, assuming no additional deposits or withdrawals are made?
- $530.84, because 500*(1.005)12.
500
What are the values of angle y since it is on a straight line adjacent to another angle measuring 50 ?
y = 130 supplementary angles
500
What can you use an auxiliary line to show on a parallelogram?
Shows how to arrange a parallelogram in the form of a rectangle.