Name: ______________________
Class: _________________
Date: _________
ID: A
2Q Oscar Study Guide
Short Answer
1. Which of the following rectangles is similar to a 10 by 15 rectangle?
2. Find the missing values in each pair of similar figures below.
a.
b.
3.
The tour operators thought it would be a good idea to get a souvenir T-shirt for each customer who went
on the Ocean Bike Tour. They found a company who would sell them shirts with their logo for $4. They
also have to pay the company a one time set-up fee of $40 to make the master transfer.
Which equation shows the relationship between the number of T-shirts they will buy and what it will cost
to buy them? ( C = Total Cost to buy shirts, T = number of shirts)
a. C = 4 + 40 x T
b. C = 4 x T
c. C= 40 x T
d. C = 40 + 4 x T
1
Name: ______________________
ID: A
4. Below are several pairs of similar figures. In each, find the missing measurement(s).
a.
b.
c.
5.
This table shows the fees charged for roller-blading at a roller rink.
Number of Minutes
0
30
60
90
120
Cost to Roller Blade
$5 $6.50
$8
$9.50
$11
150
180
$12.50 $14
Which rule bests represents the table above?
M = number of minutes
C = Cost to roller blade for M number of minutes
C = 10M + 0.50
C = .05M + 5
C = .5M + 5
C = 3M + 5
2
Name: ______________________
ID: A
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
6. Parallelogram PARL ∼ parallelogram WXYZ. Find the value of c.
a.
____
45
b.
21
c.
3
d.
22
7. Natasha wants to enlarge one of her favorite pictures. She takes her pictures to a store that has a photo
enlarger. The dimensions of her original picture are 8 inches by 12 inches If the she enters 150% into
the enlarger, what will be the new dimensions of Natasha’s picture?
a.
12” × 18”
b.
2” × 3”
c.
8” × 12”
d.
200” × 300”
The triangles below are similar. Find the value of x.
____
8.
a.
____
14
b.
12.5
c.
13.5
d.
12
c.
8 and 2/3
d.
10 and 2/3
9. What is the measure of side “x” ?
a.
9 and 1/3
b.
14
3
Name: ______________________
ID: A
____ 10. A 6-ft adult has a shadow 3.6 ft long. How long is the shadow of a 5-ft child standing next to the adult?
a.
3.6 ft
b.
2.6 ft
c.
4 ft
d.
3 ft
____ 11. A building casts a shadow 100 m long. At the same time, a nearby pole 4 m high casts a shadow 8 m long.
What is the height of the building? Round your answer to the nearest tenth, if necessary.
a. 200 m
b. 0.5 m
c. 50 m
d. 800 m
____ 12. A woman and her son are standing next to each other. The woman is 66 inches tall and she casts a 48
inch shadow. Her son casts a 39 inch shadow. What is the height of the son, to the nearest inch?
a. 34 in.
b. 44 in.
c. 54 in.
d. 64 in.
____ 13. What is the value of y when x is 64?
a.
17
b.
18
c.
16
d.
19
____ 14. Approximately how many words had this student typed in 50 seconds?
a.
27
b.
30
c.
37
d.
55
22.5
d.
365
–15
d.
–53
____ 15. If y = 12 - 3.5x, what is the value of y when x = - 3?
a.
1.5
b.
8.47
c.
____ 16. If y = x – 19, what is the value of x when y = 34?
a.
15
b.
53
c.
4
Name: ______________________
ID: A
____ 17. Which equation shows the relationship between x and y shown in the graph?
a.
y=x
b.
y = 2x
c.
y=3-x
d.
y=
1
x
2
____ 18. Which of the following best explains how the following pattern is formed?
a.
b.
c.
d.
4 6 10 16 26 42 ....
Multiply each number by the number before it
Add 2, add 4, add 6 and so on
Multiply by 2 and subtract 1
Add the previous two numbers together to get the new number
Solve the equation.
____ 19. 104 = v + 54
a.
50
b.
150
c.
200
d.
100
b.
14
c.
6
d.
40
____ 20. 4 = w − 10
a.
15
Identify an equation that models the situation and find its solution.
____ 21. A tomato plant was 9 inches tall when it was planted in June. When the first tomatoes were ripe, the
plant was 42 inches tall. How many inches did the plant grow?
a.
b.
9
x
9
x
+ x = 42
= 33 in.
+ x = 42
= 34 in.
c.
d.
x
x
x
x
− 9 = 42
= 50 in.
− 9 = 42
= 51 in.
____ 22. Karen wrote a check for $72. She subtracted that amount from her checking account and found that the
balance was $383 after writing the check. What was her balance before writing the check?
a.
b.
n
n
n
n
+ 72 = 383;
= $311
− 72 = 383;
= $505
c.
d.
5
n
n
n
n
− 72 = 383;
= $455
+ 72 = 383;
= $361
Name: ______________________
ID: A
____ 23. It’s going to be Jasmine’s birthday soon, and her friends Mary, Jerry, Terry, Kerry, and Perry have
contributed equal amounts of money to buy her a present. They have $20.00 to spend between them.
Determine how much each contributed.
a.
b.
5
z
5
z
+
=
+
=
z = 20.00;
$15.00
z = $20.00;
$14.00
c.
d.
5z = $20.00;
z = $6.00
5z = $20.00;
z = $4.00
____ 24. A state has a limit on the lengths of cargo trains. The train cannot exceed a length of 1,100 ft. Train A
has 28 cars at 40 feet each, and train B has 34 cars at 30 feet each. Do the trains meet the requirement?
a.
Train A and Train B pass.
c.
Train A fails and Train B passes.
b.
Train A passes and Train B fails.
d.
none of these
____ 25. A public storage company charges new customers an initial fee of $10.50. Each month of storage costs
$13.50. For how many months could a customer rent storage space for $301.00?
a.
23 months
b.
21 months
c.
27 months
d.
22 months
____ 26. A building 125 ft. high casts a 150-ft shadow. Sarah casts a 6- ft. shadow. The triangle formed by the
building and its shadow is similar to the triangle formed by Sarah and her shadow. How tall is Sarah?
a. 3 ft.
c. 5 ft.
b. 4 ft.
d. 6 ft.
6
ID: A
2Q Oscar Study Guide
Answer Section
SHORT ANSWER
1. ANS:
rectangle A
PTS: 1
DIF: L2
REF: Stretching and Shrinking | Question Bank
OBJ: Investigation 4: Similarity and Ratios
NAT: NAEP G2e| NAEP G2f
STA: 7PA M7.A.2.2.6| 7PA M7.B.2.2.2| 7PA M7.C.1.2.1| 7PA M7.C.1.2.2
TOP: Problem 4.2 Ratios Within Similar Triangles
KEY: ratio | equivalent ratio | similar figures
2. ANS:
a. x = 12
b. x = 3
PTS: 1
DIF: L2
REF: Stretching and Shrinking | Additional Practice Investigation 3
OBJ: Investigation 3: Similar Polygons NAT: NAEP G2e| NAEP G2f
STA: 7PA M7.B.2.2.2| 7PA M7.A.2.2.6| 7PA M7.B.2.1.3| 7PA M7.B.2.2.1| 7PA M7.C.1.2.1| 7PA
M7.B.2.1.1| 7PA M7.C.1.2.2
TOP: Problem 3.3 Scale Factors and Similar Shapes
KEY: scale factors | similar figures | finding similar measures
3. ANS:
a. Answers will vary.
b. Answers will vary. The points should not be connected because you cannot purchase a portion of a
shirt. However, some students may make the point that the cost grows steadily so you could connect
the points to see the pattern.
c. 6.95s = c, where s is the number of shirts and c is the cost of the shirts
PTS:
OBJ:
STA:
TOP:
KEY:
1
DIF: L2
REF: Variables and Patterns | Unit Test
Investigation 3: Rules and Equations
NAT: NAEP A4a| NAEP A4c
7PA M7.D.2.1.1| 7PA M7.D.3.1.1| 7PA M7.D.2.1.2| 7PA M7.D.1.1.1| 7PA M7.D.2.2.1
Problem 3.1 Equations with One Operation
rule | equation | formula | table | coordinate graph
1
ID: A
4. ANS:
a. a = 10
b. b = 1.25; c = 6
c. d = 3.75, e = 7.5
PTS:
REF:
OBJ:
STA:
TOP:
KEY:
5. ANS:
a.
1
DIF: L2
Stretching and Shrinking | Additional Practice Investigation 4
Investigation 4: Similarity and Ratios
NAT: NAEP G2e| NAEP G2f
7PA M7.A.2.2.6| 7PA M7.B.2.2.2| 7PA M7.C.1.2.1| 7PA M7.C.1.2.2
Problem 4.3 Using Similarities to Find Measurements
ratio | equivalent ratio | similar figures | finding similar measures
b. Possible answer: It would make sense to connect the points on the graph if there are partial fees for
minutes between half hours.
c. The cost increases by $3.50 for each additional half hour of skating. On the graph, this is shown by a
straight-line pattern going up as we read from left to right. The values on the “Cost” axis increase by
$3.50 for each increase of 30 on the “Minutes” axis.
PTS:
REF:
OBJ:
STA:
TOP:
KEY:
1
DIF: L2
Variables and Patterns | Additional Practice Investigation 2
Investigation 2: Analyzing Graphs and Tables
NAT: NAEP A2b| NAEP A3a
7PA M7.D.3.1.1| 7PA M7.D.3.1.2| 7PA M7.D.1.1.1
Problem 2.1 Analyzing a Table and a Graph
data sets | pattern | table | coordinate graph
MULTIPLE CHOICE
6. ANS: B
PTS: 1
DIF: L1
REF: Skills Practice Investigation 4
OBJ: Investigation 3: Similar Polygons NAT: NAEP G2e| NAEP G2f
STA: 7PA M7.B.2.2.2| 7PA M7.A.2.2.6| 7PA M7.B.2.1.3| 7PA M7.B.2.2.1| 7PA M7.C.1.2.1| 7PA
M7.B.2.1.1| 7PA M7.C.1.2.2
TOP: Problem 4.1 Ratios with Similar Parallelograms
KEY: similar figures | corresponding angles | corresponding sides | solving a proportion | proportion
7. ANS: A
PTS: 1
DIF: L2
REF: Stretching and Shrinking | Multiple Choice
OBJ: Investigation 1: Enlarging and Reducing Shapes
NAT: NAEP G2e| NAEP G2c
STA: 7PA M7.C.1.2.2
TOP: Problem 1.3 Corresponding Sides and Angles
KEY: similar figures | scaling
2
ID: A
8. ANS: D
PTS: 1
DIF: L1
REF: Skills Practice Investigation 4
OBJ: Investigation 3: Similar Polygons NAT: NAEP G2e| NAEP G2f
STA: 7PA M7.B.2.2.2| 7PA M7.A.2.2.6| 7PA M7.B.2.1.3| 7PA M7.B.2.2.1| 7PA M7.C.1.2.1| 7PA
M7.B.2.1.1| 7PA M7.C.1.2.2
TOP: Problem 4.3 Using Similarities to Find Measurements
KEY: proportion | similar figures | similar polygons | solving an equation
9. ANS: D
PTS: 1
DIF: L1
REF: Skills Practice Investigation 4
OBJ: Investigation 3: Similar Polygons NAT: NAEP G2e| NAEP G2f
STA: 7PA M7.B.2.2.2| 7PA M7.A.2.2.6| 7PA M7.B.2.1.3| 7PA M7.B.2.2.1| 7PA M7.C.1.2.1| 7PA
M7.B.2.1.1| 7PA M7.C.1.2.2
TOP: Problem 4.3 Using Similarities to Find Measurements
KEY: proportion | similar figures | similar polygons | solving an equation
10. ANS: D
PTS: 1
DIF: L1
REF: Skills Practice Investigation 5
OBJ: Investigation 5: Using Similar Triangles and Rectangles
NAT: NAEP G2e| NAEP G2f| NAEP G3c
STA: 7PA M7.A.2.2.5| 7PA M7.A.2.2.6| 7PA M7.B.2.2.1| 7PA M7.B.2.2.2| 7PA M7.C.1.2.1| 7PA
M7.C.1.2.2
TOP: Problem 5.1 Using Shadows to Find Heights
KEY: proportion | similar figures | word problem | problem solving
11. ANS: C
PTS: 1
DIF: L2
REF: Skills Practice Investigation 5
OBJ: Investigation 5: Using Similar Triangles and Rectangles
NAT: NAEP G2e| NAEP G2f| NAEP G3c
STA: 7PA M7.A.2.2.5| 7PA M7.A.2.2.6| 7PA M7.B.2.2.1| 7PA M7.B.2.2.2| 7PA M7.C.1.2.1| 7PA
M7.C.1.2.2
TOP: Problem 5.1 Using Shadows to Find Heights
KEY: indirect measurement | similar triangles | proportion
12. ANS: C
PTS: 1
DIF: L2
REF: Skills Practice Investigation 5
OBJ: Investigation 5: Using Similar Triangles and Rectangles
NAT: NAEP G2e| NAEP G2f| NAEP G3c
STA: 7PA M7.A.2.2.5| 7PA M7.A.2.2.6| 7PA M7.B.2.2.1| 7PA M7.B.2.2.2| 7PA M7.C.1.2.1| 7PA
M7.C.1.2.2
TOP: Problem 5.1 Using Shadows to Find Heights
KEY: indirect measurement | proportion | word problem | similar triangles
13. ANS: A
PTS: 1
DIF: L2
REF: Variables and Patterns | Multiple Choice
OBJ: Investigation 2: Analyzing Graphs and Tables
NAT: NAEP A2b| NAEP A3a
STA: 7PA M7.D.3.1.1| 7PA M7.D.3.1.2| 7PA M7.D.1.1.1
TOP: Problem 2.1 Analyzing a Table and a Graph
KEY: data sets | pattern | table | coordinate graph | scale
14. ANS: C
PTS: 1
DIF: L2
REF: Variables and Patterns | Multiple Choice
OBJ: Investigation 2: Analyzing Graphs and Tables
NAT: NAEP A2b| NAEP A3a
STA: 7PA M7.D.3.1.1| 7PA M7.D.3.1.2| 7PA M7.D.1.1.1
TOP: Problem 1.4 Reading Data from Graphs
KEY: coordinate graph | relationship | table | patterns of change
15. ANS: C
PTS: 1
DIF: L2
REF: Variables and Patterns | Multiple Choice
OBJ: Investigation 3: Rules and Equations
NAT: NAEP A4a| NAEP A4c
STA: 7PA M7.D.2.1.1| 7PA M7.D.3.1.1| 7PA M7.D.2.1.2| 7PA M7.D.1.1.1| 7PA M7.D.2.2.1
TOP: Problem 3.2 Equations with Two Operations
KEY: rule | equation | formula | table | coordinate graph
3
ID: A
16. ANS: B
PTS: 1
DIF: L2
REF: Variables and Patterns | Multiple Choice
OBJ: Investigation 3: Rules and Equations
NAT: NAEP A4a| NAEP A4c
STA: 7PA M7.D.2.1.1| 7PA M7.D.3.1.1| 7PA M7.D.2.1.2| 7PA M7.D.1.1.1| 7PA M7.D.2.2.1
TOP: Problem 3.2 Equations with Two Operations
KEY: rule | equation | formula | table | coordinate graph
17. ANS: B
PTS: 1
DIF: L2
REF: Variables and Patterns | Multiple Choice
OBJ: Investigation 2: Analyzing Graphs and Tables
NAT: NAEP A2b| NAEP A3a
STA: 7PA M7.D.3.1.1| 7PA M7.D.3.1.2| 7PA M7.D.1.1.1
TOP: Problem 2.3 Interpreting Graphs
KEY: coordinate graph | pattern | relationship
18. ANS: D
PTS: 1
DIF: L2
REF: Variables and Patterns | Multiple Choice
OBJ: Investigation 2: Analyzing Graphs and Tables
NAT: NAEP A2b| NAEP A3a
STA: 7PA M7.D.3.1.1| 7PA M7.D.3.1.2| 7PA M7.D.1.1.1
TOP: Problem 1.4 Reading Data from Graphs
KEY: coordinate graph | relationship | table | patterns of change
19. ANS: A
PTS: 1
DIF: L1
REF: Skills Practice Investigation 3
OBJ: Investigation 3: Rules and Equations
NAT: NAEP A4a| NAEP A4c
STA: 7PA M7.D.2.1.1| 7PA M7.D.3.1.1| 7PA M7.D.2.1.2| 7PA M7.D.1.1.1| 7PA M7.D.2.2.1
TOP: Problem 3.1 Equations with One Operation
KEY: inverse operation | algebra | Subtraction Property of Equality | solution
20. ANS: B
PTS: 1
DIF: L1
REF: Skills Practice Investigation 3
OBJ: Investigation 3: Rules and Equations
NAT: NAEP A4a| NAEP A4c
STA: 7PA M7.D.2.1.1| 7PA M7.D.3.1.1| 7PA M7.D.2.1.2| 7PA M7.D.1.1.1| 7PA M7.D.2.2.1
TOP: Problem 3.1 Equations with One Operation
KEY: Addition Property of Equality | algebra | inverse operation | solution
21. ANS: A
PTS: 1
DIF: L2
REF: Skills Practice Investigation 3
OBJ: Investigation 3: Rules and Equations
NAT: NAEP A4a| NAEP A4c
STA: 7PA M7.D.2.1.1| 7PA M7.D.3.1.1| 7PA M7.D.2.1.2| 7PA M7.D.1.1.1| 7PA M7.D.2.2.1
TOP: Problem 3.1 Equations with One Operation
KEY: problem solving | algebra | Subtraction Property of Equality | inverse operation | solution | word
problem
22. ANS: C
PTS: 1
DIF: L2
REF: Skills Practice Investigation 3
OBJ: Investigation 3: Rules and Equations
NAT: NAEP A4a| NAEP A4c
STA: 7PA M7.D.2.1.1| 7PA M7.D.3.1.1| 7PA M7.D.2.1.2| 7PA M7.D.1.1.1| 7PA M7.D.2.2.1
TOP: Problem 3.1 Equations with One Operation
KEY: Addition Property of Equality | algebra | inverse operation | solution | problem solving | word
problem
23. ANS: D
PTS: 1
DIF: L2
REF: Skills Practice Investigation 3
OBJ: Investigation 3: Rules and Equations
NAT: NAEP A4a| NAEP A4c
STA: 7PA M7.D.2.1.1| 7PA M7.D.3.1.1| 7PA M7.D.2.1.2| 7PA M7.D.1.1.1| 7PA M7.D.2.2.1
TOP: Problem 3.1 Equations with One Operation
KEY: problem solving | algebra | Division Property of Equality | inverse operation | solution | word
problem
4
ID: A
24. ANS:
OBJ:
STA:
TOP:
KEY:
25. ANS:
OBJ:
STA:
TOP:
KEY:
26. ANS:
C
PTS: 1
DIF: L2
REF: Skills Practice Investigation 3
Investigation 3: Rules and Equations
NAT: NAEP A4a| NAEP A4c
7PA M7.D.2.1.1| 7PA M7.D.3.1.1| 7PA M7.D.2.1.2| 7PA M7.D.1.1.1| 7PA M7.D.2.2.1
Problem 3.1 Equations with One Operation
write an equation | write an equation | word problem | problem solving | one solution | algebra
B
PTS: 1
DIF: L1
REF: Skills Practice Investigation 3
Investigation 3: Rules and Equations
NAT: NAEP A4a| NAEP A4c
7PA M7.D.2.1.1| 7PA M7.D.3.1.1| 7PA M7.D.2.1.2| 7PA M7.D.1.1.1| 7PA M7.D.2.2.1
Problem 3.2 Equations with Two Operations
write an equation | write an equation | word problem | problem solving | one solution | algebra
C
PTS: 1
5