Download Unit 04_Phone Plan_Tests

UNIT 4
GROUP TEST QUESTIONS
Solve the problem and write an equation. You may do this in either order. Be sure to
show all of your work and to state your answer as a sentence.
The length of a rectangular field is seven meters less than four times the width. The
perimeter is 136 meters. Find the width and length of the field.
Solve the problem and write an equation. You may do this in either order. Be sure to
show all of your work and to state your answer as a sentence.
John has earned 120 out of 160 possible points in biology class so far. There is one
more project, worth 40 points, to be assigned. What score must John earn on the
project to have an average of 78%, enough for a "B" grade?
Solve each of the following equations for x. Check your answer.
a) 8x = 5
c) 2x - 5 = -7 - 5x
b) -3(x + 2) = 18
3
d) 5 x + 2 = 14
Complete the table below for the equation y = -x + 3. and draw its graph.
x
y
-2
-1
0
.5
1
2
3
a) Use your graph to estimate the x-value corresponding to y = 1.5.
b) Use your graph to determine where the line crosses the y-axis.
© 1993 College Preparatory Mathematics: Change from Within Project; Funded by CPEC Eisenhower Grant
v.3.2
UNIT 4 GROUP TEST QUESTIONS
2
Use your calculator, if necessary, to write each of the following expressions in
decimal form. Round each answer to the nearest hundredth.
a) 9-1
b)
e)
(2)6
i)
f) 103 ÷ 10-2
289
c) (0.4)3
g) - 4
d) 170
h) (103)-5
2
1
22
j) -3(-2)2 + 3(-2) + 5
Look for a pattern formed by the shaded tiles in the figures below:
Figure 1
Figure 2
Figure 3
Figure 4
Record the given information and the answers below in a table.
a) How many tiles would there be in fifth figure of this pattern?
b) How many tiles would there be in Figure 100 of this pattern?
c) Write a rule for finding the number of tiles in Figure "N" of this pattern. Your
rule must include the variable "N" with whatever numbers or operations you need.
However, your rule may not include information about other figures.
© 1993 College Preparatory Mathematics: Change from Within Project; Funded by CPEC Eisenhower Grant
v.3.2
UNIT 4
THE PHONE PLAN
TEST QUESTIONS
Solve the problem and write an equation. You may do this in either order. Be sure to
show all of your work and to state your answer as a sentence.
A 150-centimeter board is cut into two pieces. One piece is 24 centimeters longer
than the other. How long is each piece?
Solve the problem and write an equation. You may do this in either order. Be sure to
show all of your work and to state your answer as a sentence.
Admission to the school dance was $3 in advance and $4 at the door. There were
30 more tickets sold at the door than in advance, and ticket sales totalled $1590.
How many of each kind of ticket were sold?
# of advance
tickets sold
# of tickets sold
at the door
$ from advance
tickets
$ from tickets
sold at the door
total money
taken in
check
$1590
Solve the problem and write an equation. You may do this in either order. If you do
not need the guess and check chart to solve the problem, use it to define your
variables. Be sure to state your answer as a sentence.
Find three consecutive odd integers such that the sum of the smallest and seven times
the largest is 68.
seven times the
largest number
sum of all the
numbers
© 1993 College Preparatory Mathematics: Change from Within Project; Funded by CPEC Eisenhower Grant
check
v.3.2
UNIT 4 TEST QUESTIONS
2
Solve the problem and write an equation. You may do this in either order. If you do
not need the guess and check chart to solve the problem, use it to define your
variables. Be sure to state your answer as a sentence.
Maya has three times as many dimes as nickels. She has four more quarters than
nickels. If the value of the coins is $9.40, how many nickels does Maya have?
# of nickels
value of dimes
total value
check
a) Write an equation represented by this cups and tiles picture.
b) How many tiles are in each cup?
Solve each of the following equations for x. Check your answer.
a)
10x = 4
e)
3(x - 2) = 12
b) x - 1.5 = -3
f)
4(x + 2) + 2 = 26
g)
3x + 5 = x + 7
c)
4
5
x = 20
d) 2x + 7 = -11
h) 2x + b = c
Use the Distributive Property to rewrite the each of the following expressions.
a) 4(x + 5)
b) 5 . 2x + 5 . 4 = __ (__ + __)
c) x . x + x . 3
d) -3(2y + 5)
© 1993 College Preparatory Mathematics: Change from Within Project; Funded by CPEC Eisenhower Grant
v.3.2
UNIT 4 TEST QUESTIONS
3
a) Complete the table below for the equation y = 3x - 2 and draw its graph.
x
-2
-1
0
.5
1
2
3
b) Use your graph to estimate the x-value(s) corresponding to y = 2.
a) Complete the table below for the equation y = x2 - 2x and draw its graph.
x
-1
0
.5
1
1.5
2
3
b) Use your graph to estimate the x-value(s) corresponding to y = 2.
You know that 23 . 24 = 27 and 22 . 24 = 26.
a) Use the pattern shown in these two examples to find the missing exponent in the
equation 20 . 24 = 2 ? .
b) Use part (a) to explain why 20 = 1.
Use your pattern-detection skills to complete the table below.
Number of
People
1
2
3
Number of
Handshakes
Diagram to
represent
the situation
4
5
6
7
8
Don't draw any more pictures.
Rewrite each of the following expressions with one base and one exponent, if
possible.
106
102
a) 103 . 104
d)
b) x2 . x5
c) (x2)5
e) x2 + x5
f) x2(xy2)3
© 1993 College Preparatory Mathematics: Change from Within Project; Funded by CPEC Eisenhower Grant
v.3.2
UNIT 4 TEST QUESTIONS
4
Use the graph below to answer each of the following questions.
y
8
6
•A
4
2
B•
•
5
x
a) What are the coordinates of point A ? (
,
)
b) What are the coordinates of point B ? (
,
)
-5
-3
-1
1
3
c) If the x-coordinate of a point on the graph is -1, what is its y-coordinate?
d) If the y-coordinate of a point on the graph is 3, what is its x-coordinate?
e) What are the coordinates of the point where the graph crosses the x-axis?
Find the value of each of the following expressions. Remember the Order of
Operations!
a)
62 + 4 . 5 ÷ 2
c)
( 62 + 4 ) . 5 ÷ 2
b)
( 62 + 4 ) . ( 5 ÷ 2 )
d)
( 62 + 4 . 5 ) ÷ 2
If you roll one six-sided die,
a) What is the probability that the number you roll will be a factor of 30? Justify
your answer.
b) What is the probability that the number you roll will be odd? Justify your answer.
Use the idea of integer tiles to explain why -7 - ( -12) = -7 + 12.
Each year the earth travels about 290 million miles in its orbit around the sun. How
far has the earth travelled in its orbit in the last 2,000 years? Express your answer in
standard and scientific notation.
© 1993 College Preparatory Mathematics: Change from Within Project; Funded by CPEC Eisenhower Grant
v.3.2