Warm ups third nine weeks
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1
2
Plot of the number line the sum of the number shown
above and -1/2
3 Expand the following
4 simplify
5 Simplify
6 What quadrant does point N lie in?
7 Simplify
8 For a scavenger hunt, Jim's mom distributed
a bag of 1,020 jelly beans evenly into 30
plastic containers and hid them around the
yard. If, after the hunt, Jim has a total of 204
jelly beans, then how many of the plastic
containers did he find?
9 Workers Inc. just bought 9 boxes of pens to
put in their storage room for employees to use
as needed. Each box contains 35 pens. If each
of the 40 employees working for Workers Inc.
takes 4 pens when they are first brought into
the office, how many pens will be left in the
storage room?
10
Mick's mom gave him $20.00 on
Monday morning to use on lunches. At his
school, the school lunch costs $1.25, which he
bought Monday through Thursday. On Friday,
he decided to buy 3 slices of pizza instead of
buying the school lunch. If the pizza costs
$1.40 per slice, then how much of the money
is left at the end of the school week?
11
Joey is putting all of his trophies onto 5
shelves. If he places 6 trophies on each shelf
but still has 2 trophies left over, how many
trophies does he have?
12 The temperature outside changed from
61°F to 41°F over a period of five days. If the
temperature changed by the same amount
each day, what was the daily temperature
change?
13 The perimeter of a rectangle is 46
inches. If the length of the rectangle is 15
inches, which equation could be used to
find the width, x?
14
Samantha donated 5 T-shirts to charity
and has 16 left. Write an equation to show x
the number of t-shirts she originally had.
A. 2(x + 15) = 46
B. x + 2(15) = 46
C. x + 15 = 46
D. 15(x + 2) = 46
15 Mitchell received a stipend at the
beginning of the semester to buy
textbooks. During the semester, he spent
$421.60 on textbooks. He had $97.46 of
the stipend left at the end of the semester.
16
The city is planning to build a new park.
The park will be in the shape of a
parallelogram with a perimeter of 586 yards. If
the length of the park is 190 yards, what is the
width of the park?
x - $421.60 = $97.46
How much was Mitchell's stipend?
17 The width of a rectangle is 20
centimeters. If the perimeter of the
rectangle is 92 centimeters, what is the
length?
18 The perimeter of a rectangle is 44 inches. If
the width of the rectangle is 7 inches, what is
the length?
19 Clark is removing dirt from a
rectangular section of his backyard to build
a water feature. The section is 2.9 meters
long and has an area of 9.28 square
meters.
20
2.9x = 9.28
What is the width of the section of Clark's
backyard?
What is the range of the following set of numbers?
43, 35, 44, 40, 39, 37, 36, 45, 38
21
22 A triangle has 2 sides that equal 6
inches. The other side equals 4 inches.
What kind of triangle is it?
23 Tameka bought three dozen donuts to 24 The possible outcomes for rolling a
take into work. There are 12 cake donuts,
pair of fair dice are shown below.
8 glazed donuts, 8 chocolate donuts, and 8
blueberry donuts. If she randomly gives
donuts to 12 of her coworkers, which of the
following is the best prediction of the
number of coworkers that will receive a
cake donut?
What is the probability of rolling a sum that is a
multiple of two?
25 Sam is rolling a number cube with the
numbers 1, 1, 2, 2, 3, and 3 printed on it.
What is the probability that, if he rolls the
cube twice, the sum of the numbers will
add to 4?
26 Brittany gets 8 points in her book club
for every book she reads, and she already
has 40 points. She needs more than 128
points to receive the grand prize.
8x + 40 > 128
How many more books does Brittany need
to read to receive the grand prize?
27 Ralphie's dad has a nutritionist who
instructed him to consume less than 2,004
calories per day. He has already eaten
1,511 calories today and wants to eat
some fruit bars that are 64 calories each.
Which of the following inequalities could be
used to solve for x, the number of fruit
bars Ralphie's dad can eat without going
over his calorie allotment?
28 Jeannette is participating in a hot dog
eating contest. She has already eaten 21
hot dogs but needs to eat more than 32
hot dogs to win. Jeannette is eating 3.5 hot
dogs per minute. Which of the following
inequalities could be used to solve for x,
the number of minutes Jeannette needs to
eat hot dogs to win the contest?
A. 3.5x > 21
A. 64x - 1,511 < 2,004
B. 3.5x > 32
B. 64x < 1,511
C. 3.5x + 21 > 32
C. 64x + 1,511 < 2,004
D. 3.5x - 21 > 32
D. 64x < 2,004
29 Carlene is selling T-shirts for a
fundraiser. The T-shirts cost $20.50 each.
To date, she has raised $900. Her goal is
to raise more than $9,920. How many
more T-shirts, x, does Carlene need to sell
to reach her goal?
30 Fran is limited to watching television
less than 8 hours per week. She has
already watched 3 hours, and each show is
0.5 of an hour long.
Write and solve an inequality
How many more shows can Fran watch this
week?
0.5x + 3 < 8
32 Sabrina rode on a Ferris wheel at the state
fair. The radius of the Ferris wheel was 114
feet.
31
What is the approximate distance Sabrina
traveled in one revolution of the Ferris wheel?
Use = 3.14.
The circle above has a radius of 7 cm.
What is the area of the circle?
Use
= 3.14.
33
The area of the circle above is 314 units2. What
is the circumference of the circle? Use =
3.14.
34
Which of the following are alternate
exterior angles?
A. B and E
B.
C.
D.
35
A and
H
C and
E and
F
H
36
In the figure below, quadrilateral VWXY is a
rectangle and has congruent diagonals that
bisect each other.
What is the m<QRS?
If m<VWY = 23 degrees, what is m<VZY
37
38
Ivan is an artist. He creates 1 sculpture for every
7 paintings. If he has created 42 paintings, how
many sculptures has he created?
Which of the following are alternate interior
angles?
A. F and G
B.
A and
D
C.
D and
E
D.
B and
F
39
40
Glenn and Helen are playing ping pong. For
every 3 points that Glenn scores, Helen scores
4 points. If Glenn scores 6 points, how many
points does Helen score?
A recipe calls for of a cup of milk for 12
cookies. How many cups of milk are needed to
make 180 cookies?