Geometry
Summer Homework
for 2015-2016 school year
Geometry Summer Homework Overview
Assignment Overview
If you are receiving this homework, welcome to Geometry! Every two to three weeks you will have a 15 point
assignment comprised of ten multiple choice questions (1 point each) and one writing prompt (5 points). These
assignments must be submitted ONLINE using the links below and by the dates listed.
Summer Homework 1 (Due Monday, June 29th, 2015)
j.mp/2015summergeohw1
Summer Homework 2 (Due Monday, July 20th, 2015)
j.mp/2015summergeohw2
Summer Homework 3 (Due Monday August 3rd, 2015)
j.mp/2015summergeohw3
Summer Homework 4 (Due Monday August 17th, 2015)
j.mp/2015summergeohw4
Use the following instructions for all extended response questions:



Answers must be written in complete sentences and using mathematical terminology.
If you are solving a problem, make your strategy clear.
Use examples and describe pictures to aid you in your answer.
Technology Issues
Since you have at least two weeks to complete each problem set, you will have plenty of time to figure out any
technology/internet/computer issues that may arise. You can also email Mr. Bielmeier at
sbielmeier@noblenetwork.org if any technology issues occur. If I do not hear from you, it will be assumed that
everything is working properly.
Best of Luck,
Mr. Bielmeier
Geometry Summer Homework
Assignment #1
Due: Monday, June 29th, 2015
Name: ____________________________________Per: ___________
Submit all answers j.mp/2015summergeohw1 by the deadline listed above.
Solving one- and two-step problems (BOA 301, 301; XEI 302)
1) What does 12.4 × 5 equal?
A.
B.
C.
D.
E.
12.2
14
16.4
62
620
3) Simplify: −7 + 3 ∙ 2
A.
B.
C.
D.
E.
8
−1
−8
−13
−20
5) What is the inverse operation of
addition?
A.
B.
C.
D.
E.
1
Addition
Division
Multiplication
Subtraction
Squaring
1
2) What is 4 2 + 2 4?
1
A.
68
B.
66
C.
64
D.
64
E.
63
1
3
2
1
1
1
4) Multiply: ∙ 2
3
2
1
A.
3
1
B. 2
6
2
C. 2
3
5
D.
6
2
E.
15
v
6) Solve:  5
7
A.
B.
C.
D.
E.
𝑣
𝑣
𝑣
𝑣
𝑣
= 35
= 12
= −2
= 28
5
=7
Combining like terms & evaluating algebraic expressions (XEI 303, 402, 403)
7) What are “like terms”?
A. Terms in the same place in a sequence
B. Terms with the same coefficients
C. Terms with the same variables to the
same exponents
D. Terms that are all positive or all negative
E. Terms that are variables but may have
different exponents
9) Simplify: −2𝑥² + 12𝑥² – 8𝑥
A.
B.
C.
D.
E.
−2𝑥²
2𝑥
6𝑥² − 8𝑥
10𝑥² − 8𝑥
12𝑥 2 − 10𝑥
8) Which terms are like terms: 3x, 3, 5x²,
6x, 5x³?
A.
B.
C.
D.
E.
10)
3x, 3
5x², 5x³
3x, 6x
3x, 5x², 6x, 5x³
None of these are like terms
Subtract: (7 y  2)  (2 y  4) .
A. 5𝑦
B. 5 y  6
C. 5 y  2
D. 14 y 2  8
E. 14 y 2  8
Word Problem: Use complete sentences to fully explain your answer.
The steps listed below show the process for solving the equation: 3(x + 5) = 2x + 35.
 Step One: 3x + 15 = 2x + 35
 Step Two: 5x + 15 = 35
 Step Three: 5x = 20
 Step Four: x = 4
Which step started the incorrect work, and why? Explain using mathematical terminology.
Then explain what the correct steps to solve the problem are.
Geometry Summer Homework
Assignment #2
Due: Monday, July 20th, 2015
Name: ____________________________________Per: ___________
Submit all answers j.mp/2015summergeohw2 by the deadline listed above.
Solving one- and two-step problems (BOA 301, 301; XEI 302)
11)
Which of the following is equivalent to 45%?
12)
1
of 210?
5
What is
A. 0.045
2
B. 0.45
A. 8 5
C. 4.5
B. 42
D. 45.0
C. 52 2
E. 450
1
1
D. 210 5
E. 1050
13)
A.
B.
C.
D.
E.
Solve: 12 − 4 ∙ 0
– 48
8
0
12
undefined
15) What would be the first step to solving
x+2=7?
A.
B.
C.
D.
E.
Add 2 to both sides
Divide both sides by 2
Multiply both sides by 2
Subtract 2 from both sides
Take the square root of both sides
14)
A.
B.
C.
D.
E.
16)
A.
B.
C.
D.
E.
Divide:
100
0.25
4
25
2500
400
1.25
Solve: 4x  15
x = 60
x=19
x = 11
x = 3.75
x=4
Combining like terms & evaluating algebraic expressions (XEI 303, 402, 403)
17) Which terms are like terms:
(7𝑦³ + 4) + (7𝑦² − 4𝑦 + 8)?
A.
B.
C.
D.
E.
19)
4y, 3, 8
7y², 7y³
4, 8
4y, 7y², 7y³
4, 8 and 4y, 7y2, 7y3
Simplify:  2 xy  2 x  y   ( xy  x) .
A. 2 y
B. 3y
C. 3xy  3x  y
D. 2 x 2 y 2  2 x 2  y
E. 0
18) Carl makes $8 per hour and Janet
makes $10 per hour. If they both work
together for t hours, how much money
do they make total?
A. 18
B. 10t
C. 18t
D. 18t²
E. 18 + t
𝑢
20) In the given equation −4 = −14, the
first step in isolating the variable is to:
A.
B.
C.
D.
E.
Multiply both sides by -4
Multiply both sides by -14
Divide both sides by u
Add -4 to both sides
Add -14 to both sides
Word Problem: Use complete sentences to fully explain your answer.
Mike pays for Jim’s admission to a movie, which costs $8.75. But, before that, Mike already owed
Jim $24.50. Who owes whom now, and how much does he owe? Explain your work.
Geometry Summer Homework
Assignment #3
Due: Monday, August 3rd, 2015
Name: ____________________________________Per: ___________
Submit all answers j.mp/2015summergeohw3 by the deadline listed above.
Solving one- and two-step problems (BOA 301, 301; XEI 302)
21) 8 is 25% of what number, rounded to the
nearest whole number?
A. 2
B. 29
C. 87
D. 100
E. 200
23)
A.
B.
C.
D.
E.
25)
Add: 5.2 +
1
4
22)
A.
B.
C.
D.
E.
24)
A.
B.
C.
D.
E.
5.24
5.45
8.2
9.2
9.3
Solve: 𝑎 – 5 = 4
4
A. 𝑎 = − 5
B. 𝑎 = −1
C. 𝑎 = 1
D. 𝑎 = 9
E. 𝑎 = 20
9.2 hours is equal to
9 hours and 2 minutes
9 hours and 12 minutes
9 hours and 20 minutes
9 hours and 40 minutes
92 minutes
Simplify: 18  15  3
11
23
63
99
90
26) You make $7.55 per hour working
at a grocery store after school and on
weekends. How many hours must you
work to make $100? (Round your
answer to the nearest hundredth)
A.
B.
C.
D.
E.
13 hours
13.2 hours
13.24 hours
13.25 hours
14 hours
Combining like terms & evaluating algebraic expressions (XEI 303, 402, 403)
27)
A.
B.
C.
D.
E.
29)
A.
B.
C.
D.
E.
Simplify: 5x + 4x + 7
9x + 7
9x² + 7
9(x+7)
16x
16x²
Subtract: 4r  (2r  7) .
2r  7
2r  7
6𝑟 − 7
8r  7
8r 2  28r
28) Antwaine makes $13 an hour as a
carpenter, but $3 each hour is lost to
taxes. He also charges a $20 flat rate
for each job in addition to the hourly
rate. What expression shows what
Antwaine makes for working x hours?
A. 10x + 20
B. 13x + 23
C. 13x + 17
D. 16x + 20
E. 20x + 10
30)
Solve using the order of operations.
3(0– 7) + 8 ÷ 2
A.
B.
C.
D.
E.
− 19
13
−4
−3
5
−17
Word Problem: Use complete sentences to fully explain your answer.
3
Janice starts solving (𝑥 + 5) = 6 by multiplying both sides by 5. First, explain what she should
5
do to continue solving using this method. Then show two other ways to solve, one starting by
multiplying by the reciprocal, and one starting by distributing.
Geometry Summer Homework
Assignment #4
Due: Monday, August 17th, 2015
Name: ____________________________________Per: ___________
Submit all answers j.mp/2015summergeohw4 by the deadline listed above.
Solving one- and two-step problems (BOA 301, 302; XEI 302)
31)
A baker needs to separate 12 cups of flour
3
3
into cup bags. How many cup bags can she
4
4
make?
A.
B.
C.
D.
E.
9
1
13 3
16
36
48
1 3
 expressed as a decimal
8 4
rounded to the nearest thousandth?
A. 0.250
B. 0.333
C. 0.500
D. 0.750
E. 0.875
33)
What is
35)
Solve: y – 132.6 = -247.4
A.
B.
C.
D.
E.
y = -114.8
y = -380
y = 1.866
y = 380
y = 114.8
32) Quincy worked from 8:30 in the morning to
3:15 in the afternoon. How many hours did
Quincy work?
F.
G.
H.
I.
J.
5 hours and 15 minutes
5 hours and 45 minutes
6 hours and 15 minutes
6 hours and 45 minutes
7 hours and 15 minutes
34) Terry’s model airplane is scaled so that 3
inches represents 27 feet. If Terry’s model
plane is 13 inches long, how long would the full
size airplane be?
A. 81
B. 117
C. 351
D. 390
E. 1,053
36) Wendell purchased a hot dog and 3
orders of French fries for $6.00. If the
hot dog cost $2.25, what was the cost of
each order of French fries?
A.
B.
C.
D.
E.
$0.75
$1.25
$1.60
$2.75
$3.75
Combining like terms & evaluating algebraic expressions (XEI 303, 402, 403)
37)
A.
B.
C.
D.
E.
39)
A.
B.
C.
D.
E.
Simplify: −2𝑥² + 12𝑥² – 8𝑥
−2𝑥²
2𝑥
6𝑥² − 8𝑥
10𝑥² − 8𝑥
−14𝑥 2 + 8𝑥
Simplify: (5a  b)  3(2b  a) .
−4𝑎 − 7𝑏
8a  7b
15a  6b
15a 2  6b 2
33ab  6b 2  15a 2
38)
A.
B.
C.
D.
E.
Simplify: 𝑤² + 8𝑝 – 4𝑤² + 6𝑝
10𝑤²𝑝
4𝑤² + 6𝑝
−3𝑤² + 14𝑝
3𝑤² + 8𝑝
5𝑤 2 + 14𝑝
40) Find the perimeter, in feet, of the rectangle
below.
3x 2  y 3
3y 3
A. 3x 2  3 y 3
B. 3x 2  4 y 3
C. 6 x 2  8 y 3
D. 6 x 4  8 y 12
E. 9𝑥 2 𝑦 3 + 3𝑦 6
Word Problem: Use complete sentences to fully explain your answer.
A sweater is 40% off. If the sweater is usually $45, Alicia calculated that the new price would be $18. What
error did she make, and how should the new price be calculated?