Chapter 4 Test Answer Key
Chapter 4
Quiz
Name:______________________________
Date:__________________Per:__________
1. Herbie has been asked to create a poster on subtraction of integers. His theme
problem is 12 - 20 - (-5) . Write a word problem for Herbie to go with the theme
problem. Then illustrate or explain how to solve the theme problem.
[ Answers will vary. One example: Andrew had $12 and spent $20 by saying
he would pay his dad back $8. (–8 so far) His dad took away $5 of the debt
when Andrew washed his dad’s car. Now he only owes his dad $3. Final
answer: –3 ]
2. Calculate:
a.
8 ×(–3) = -24
b.
–12 + (–3) = -15
c.
–7 + (–4) = -11
d.
–5 + 11 = 6
e.
–6 ×(8) = -48
f.
3×(–7) = -21
g.
24 + (–3) = 21
h.
–16 + (–4) = -20
i.
(–6)×(–6) = 36
3.
Solve each of these Diamond Problems.
a.
b.
6
–10
–0.5
3
5; -2
4. Simplify:
-12; -12.5
a.
5.
24 + 3  5 – 6(2 + 4) + 10= 13
What is the area of the shape
shown? Clearly show how the
area of each triangle and
rectangle was calculated. All
units are in feet.
b.
5 + 8  3= 29
11
8
7
A= 181 ft2
6
9
6.
Consider the representation at right. Write
the portion shaded as
a.
a fraction. 34/100 or 8/25
b.
a decimal. 0.34
c.
a percent. 34%
7. A bag of marbles contains only the colors blue, yellow and green. (Show your
work!)
a.
The probability of getting a yellow marble or P(yellow) is
What is P(blue or green)?_______1/3__________
1
4
2
.
3
b.
P(green) is
. What is P(blue)?________1/12____________
c.
There are 24 marbles in the bag. How many are blue?_______________2_________
8. A bag contains four green gumballs, three blue gumballs, and two red gumballs,
all the same size and shape.
a.
What is the probability of choosing a red gumball?______2/9___________
b.
What is the probability of choosing a blue gumball?______3/9 or 1/3___________
c.
What is the probability of choosing a green gumball?______4/9__________
d.
If you are going to reach into the bag and pull out a gumball at random, what
color are you most likely to get? Explain. ________Green. There are the most
green marbles.______________________________________
9. Triangles XYZ and LMN are similar.
a.
By what ratio was triangle XYZ enlarged by to create
triangle LMN? Explain how you know.
____________1:4_________OR 4 times larger_________________________
b.
What is the ratio of side lengths of triangle XYZ to
triangle LMN?
M
Y
3
5
X
4
12
Z
_______1:4 the ratio of the sides is the same as the ratio of the
triangles.______________________________
c.
Calculate the length of the missing side of triangle LMN. Show your work.
___________________5*4 = 20___________________________________________________________
L
?
16
N
10. The actual height of the car is shown in the scale drawing. Use the scale ratio
indicated in the corner to determine the appropriate height for the scaled drawing.
3.5 inches
11.
Calculate.
a.
4 13 + 43 = 5 1/12
b. 6 45 - 3 23 = 3 2/15
c.
8 14 - 3 58 = 4 5/8
d. 13 + 49 = 7/9
12. Calculate.
a.
12.003 + 0.76 =
c.
7 – 0.62 =
6.38
12.763
b.
d.
1.8 – 0.9 = 0.9
4.05 + 0.5 =4.55
13. The chart below describes the speed of 3 racing snails.
Snail
Description
Lightning
22 feet per hour
Zippy
126 inches in 30 minutes
Old Mae
4 feet every 10 minutes
Which snail is fastest, and what is its rate in feet per hour?
Old Mae 24ft/hr
14. In the book Don’t Let the Pigeon Drive the Bus, a pigeon really wants to drive the
bus, and makes several statements to convince the reader that he should be able to
drive the bus. Below are some of the pigeon’s statements. Which, if any, are good
arguments for letting him drive the bus?
“Please!”
“I’ll be careful!”
“My cousin drives the bus everyday.”
“I never get to do anything!”
“I’ll be your best friend.”
“I bet your mom would let me.”
This is the closest one. It is the only one that has anything to do with the primary concern
of SAFTEY or SKILL driving.
15. A mother agreed to race her daughter in a 100-meter race on the condition that
she get a 20 meter head start. The daughter agreed and they took their marks. After
five seconds the mother had run 42.5 meters while the daughter had run only 33.35
meters.
Based on this, Rocha says “The mother was ahead at the start of the race, since she
got a head start, and she is ahead after five seconds. This means the mother will win
the race.”
Stephan says “In five seconds, the mother has lost ground, and the distance between
the two is only about 9 meters. I think the daughter will catch up.”
Tricia says, “The mother is running at a rate of 4.5 meters per second, but the
daughter is running at a rate of 6.7 meters per second. Since the daughter is running
at a faster rate, she will win.”
Usef says, “The daughter might be running at a faster rate, but it may not be fast
enough to catch her mom within the 100 meter distance of the race. I don’t think we
can figure out who will win.”
Comment on each person’s remarks on the race, as to whether or not the statements
are accurate or reasonable to conclude. Then make your own conclusions, justifying
your statements completely. Who do you think will win and why?
[ Rocha is not thinking very clearly to think the mother will stay ahead.
Stephan is making an accurate statement, but he does not support his
statement that the daughter will catch up. Tricia does add more support by
giving the rates and showing that the daughter really does have the higher
rate so is running faster. Usef adds the other point that the daughter does
need to catch up and pass before they reach 100 meters. The teams should
check this, either by making tables, graphing or equations, to find that the
daughter will pass her mom after 9 seconds and win the race in 15 seconds.
16. Ben was given the problem “Simplify -3( 4 +16 ¸ 4 × 3) - 7 + 3.” His work is shown
below. How did he do? Explain completely.
-3( 4 +16 ¸ 4 × 3) - 7 + 3
= -3(20÷4•3)-10
= -3(5•3)-10
= -45-10
= -55
[ Ben did poorly, and students should catch all mistakes! First, we do multiplication
and division before addition and subtraction so there should not be a 20 in
there. If we do multiplication and division left to right, we should have 3(4 + 4•3) – 7 + 3, and not have a – 10 at the end since we do addition and
subtraction left to right. So next it should be –3(4 + 12) – 7 + 3 = –3(16) – 7
+ 3 = –48 – 7 + 3 = –52.