Transformations
System of Equations
Angle Measurements
System of Equations Word Problems
Solving Inequalities
100
Three transformations will be performed on
triangle ABC. Which set of transformations will
always produce a congruent triangle?
A. dilation, rotation, translation
B. reflection, dilation, translation
C. rotation, reflection, dilation
D. rotation, translation, reflection
D
100
y = 6x − 11
−2x − 3y = −7
(2,1)
100
Solve for x
X = 7
100
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the
number of cars and the number of buses they took if each car holds 5 students and each bus hold 45
students.
3 cars and 4 buses
100
what is a possible solution point?
Answers may vary
200
A polygon has been rotated about the origin.
Which statement must be true?
A. The lengths of the sides are doubled.
B. The area of the polygon did not change.
C. The coordinates of the vertices did not change.
D. The area of the polygon is 4 Times its original
area.
B
200
−3x − 3y = 3
y = −5x − 17
( -4,3)
200
Triangle ABC has the following angle measurements: A is 92 degrees, B is x degrees and, Angle C is 27 degrees. Find Angle B.
61 degrees
200
All 231 students in the Math Club went on a field trip. Some students rode in vans which hold 7
students each and some students rode in buses which hold 25 students each. How many of each type of
vehicle did they use if there were 15 vehicles total?
8 vans and 7 buses
200
What is a possible solution point
y < −3
y ≥ 4x + 1
A) (5, 5) B) (-5, 5)
C) (-5, -5) D) (5, -5)
C) (-5, -5)
300
(4)
300
−3x + 3y = 4
−x + y = 3
No solution
300
Right Triangle XYZ has one angle measurement of 34 degrees. What are the missing angle measurements?
90 degrees and 56 degrees
300
The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?
34
300
Identify a possible solution point.
None
400
Describe a series of transformations that will map EFGH onto E’F’G’H’
Answers will vary
400
−5x − 8y = 17
2x − 7y = −17
(-5, 1)
400
Solve for angle h
h = 92
400
Rob has 40 coins, all dimes and quarters, worth $7.60. How many dimes and how many quarters does he have?
24 quarters and 16 dimes
400
Sketch and name a possible solution point
3x + y > −3
x + 2y < 4
Answer will vary
500
Given points: A(2,1) B(7,3) C(4,6)
Rotate 90 degrees counterclockwise
Then translation of x + 2 and y - 2
What are the new coordinates?
A (1,0)
B (-1, 5)
C (-4, 2)
500
-18x + 15y = -30
-6x + 5y = -10
Infinite Solutions
500
What is the value of x and what are the angle measurements?
x = 4 and 27 degrees
500
Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the
supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60
and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks
and spoons. They sold the finished products for a total of $147.20. How many forks and how many
spoons did they make last April?
7 forks and 20 spoons
500
Sketch and name a possible solution point
2x + y < −3
2x − y ≤ −1
Answer will vary