Download review - Cross Roads ISD

NAME_________________________________DATE________________PER._____
Unit 2 REVIEW
Given that B is between A and C, find each missing piece.
1. AB = 5.3, and AC = 6.7. Find BC.
BC = ____________
2. AB = 21 and BC = 4.3. Find AC.
AC = ____________
If B is between A and C, find the value of ‘x’ and BC.
3. AB = 3(x + 7), BC = 2(x – 3), and AC = 50.
x = ____________
BC = _______________
Find the length of the segment formed by connecting the points with the
given coordinates. Write your answers in simplest form.
4. (3, 1) and (2, 4)
d = _______________
5. (-1, 4) and (-3, -4)
d = _______________
Find the midpoint of the segment formed by each pair of coordinates.
6. (0, 9) and (2, 5)
7. (-3, 3) and (-8, -5)
midpoint:_______________
midpoint:_______________
Given that M is the midpoint of AC, find the coordinates of the endpoint
indicated.
8.
A( -5, 1 ) and M( -2, 0 )
C(__________, __________)
9.
M( 3, 7 ) and C( 5, 10 )
A(__________, __________)
IMPORTANT GEOMETRIC TERMS
Fill in the blank with the correct term.
Word Bank:
Scalene Triangle
Obtuse Triangle
Isosceles Triangle
Right Triangle
Equilateral Triangle
Triangle
Equiangular Triangle
Acute Triangle
__________________ 10. All sides are different lengths.
__________________11. Two sides are equal.
__________________12. all sides are equal.
__________________13. All angles are less than 90 degrees.
__________________14. One angle is larger than 90 degrees.
__________________15. one angle is 90 degrees.
__________________16. all angles are the same.
__________________17. a closed figure formed by three or more segments
that intersect each other at their endpoints.
The measures of two angles of a triangle are given. Find the measure of the third angle,
then classify the triangle by ANGLES.
18. 57, 33
Third Angle = ___________Classification:_________________________
19. 36, 52
Third Angle = ___________Classification:_________________________
20. 50, 50
Third Angle = ___________Classification:_________________________
ANGLES OF TRIANGLES
Find the value of ‘x’ in each problem, and write your answer in the blank provided.
21. x = _______________
x
21
22. x = _______________
23. x = _______________
mE = _______________
mC = ________; mABC = ________
E
2x
B
D x
x F
A
x
80
(2x – 4)
C
SIMILAR POLYGONS
Use the similar triangles below to determine whether each of the following statements
are TRUE or FALSE. (Circle one.)
X
24. TRUE or FALSE
Y  S
25. TRUE or FALSE
O is included between
SO and GO.
26. TRUE or FALSE
XT: OS
Y
T
S
G
0
27. TRUE or FALSE
OS is included between
O and G.
Two similar polygons are shown. Find the values of ‘x’ and ‘y’.
28. x = __________
RST  UVT
S
y = __________
V
X
12
6
4
R
U
9
y
T
Solve each of the following, and write your final answer in the blank provided.
29. ____________
A ladder rests against the top of a wall. The head of a person 6 feet tall
just touches the ladder. The person is 9 feet from the wall and 6 feet
from the foot of the ladder. Find the height of the wall.
30.____________
If a 12-foot tree casts a 6-foot-long shadow. How tall is a tree that casts
a 4-foot-long shadow?
31.____________
At the same time of day, a man who is 6-feet tall casts an 8-foot-long
shadow, and his son casts a 4-foot-long shadow. What is the height of
the man’s son?
REVIEW
Clearly circle the correct answer for each of the following. Work must be
shown to receive credit..
32. The circle graph most accurately
represents which of the situations
below?
A. In the election for class president, Sarah received 40% of the votes, Eddie
received 25%, Carol received 15%, and Matthew received 20%.
B. During a special sale at Calvert Auto Mart, Edward sold 30% of
the cars sold, Janet sold 5%, Edith sold 40%, and Mitch sold 25%.
C. Mr. And Mrs. Johnson spent 30% of their income on housing, 25% on
utilities, 35% on food, and 10% on miscellaneous expenses.
D. In a recent survey about favorite pets, 45% of those surveyed chose dogs,
35% chose cats, and 5% chose horses, and 15% chose other animals.
33. Flores gave her seventh-grade math class two sets of numbers that were
sorted according to a certain rule. The numbers that followed the rule were
put in set A, and the numbers that did not follow the rule were put in Set B.
Set A
Set B
34.23, 42.50, 430.17, 101.49, 1,635.09
216.1, 2.365, 2.2, 6,465, 949,508
Based on this information, all the numbers in Set AA.
B.
C.
D.
have exactly four non-zero digits
include the digit 2
have odd numbers in the ones place
are written to the hundredths place
34. Find the value of ‘x’.
(7x – 3)
(3x + 21)
x = _______________
35. Which equation describes this graph?
A. y = x + 1
B. y = x2
C. x = y2
D. y = x
E. x = y + 1
36. What is the domain of the function described by the graph?
A.  1  x  5
B.  1  x  9
C. 2  x  5
D. 2  x  9
E. 5  x  9
37. Last week the manager of a hamburger
restaurant recorded the following
information.
Number of
Customers, c
Number of
Hamburgers, h
24
36
48
60
72
60
90
120 150 180
Which equation below can be
used to find h, the number of
hamburgers sold to c customers?
A. h = c + 12
B. h =
5
c
2
C. h = c + 30
D. h =
2
c
5
E. h = 2c + 5
38. A store selling calculators has found that when the calculators are sold at
a price of x dollars per unit, the total income, y, is a function of the price.
The graph of y = -150x2 + 3000x shows the total income.
Calculator Sales
$16,000
$14,000
$12,000
$10,000
Total
Income
$8000
$6000
$4000
$2000
$2
$4
$6
$8
$10
$12
$14
$16
Price per Unit
Which price per unit produces a total income of $13,000?
A. $10
B. $14.50
C. $4 and $16
D. $5 and $15
E. $6 and $14
$18
$20
39. The area of a rectangle is given by the equation
2 x 2  450
where x is the width of the rectangle. What is the width?
A. 5
C. 15
B. 9
D. 25
40. The expression 3 + (2 + n) is equivalent toA. (3 + 2)n
C. (3 + 2) + n
B. 3 + 2n
D. 5n
41. Together, Luke and James have never eaten more than 16 pieces of pizza
at one time. Which equation describes y, the total number of pieces that
Luke has eaten at one time given x, the number of pieces that James has
eaten?
A.
y  16  x
B. y  16  x
42. Which set of ordered pairs is a function?
A. (-1, 8), (0, 8), (3, 8), (-6, 0)
B. (4, -3), (2, 7), (4, 1), (-5, 12)
C. (86, 1), (94, 2), (94, 3), (83, 4)
D. Not Here
C. y = 16 – x
D. Not Here