Standardized Test Practice, Chapters 17
The correct answer is D.
1. Express the area of the triangle below as a
monomial.
2. Simplify the following expression.
F G A B C D H SOLUTION: SOLUTION: J The correct answer is D.
2. Simplify the following expression.
The correct answer is G.
3. Which equation of a line is perpendicular to
F ?
G A H B J C D SOLUTION: SOLUTION: In order for the lines to be perpendicular, the slopes
must have opposite reciprocals. The slope of the
given line is
so the opposite reciprocal is only line given with this slope is
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correct answer is A.
. The
so the Page 1
4. Write a recursive formula for the sequence of the
only line given with this slope is
so the correct answer is A.
Standardized Test Practice, Chapters 17
The correct answer is G.
3. Which equation of a line is perpendicular to
4. Write a recursive formula for the sequence of the
number of squares in each figure.
?
A B F G H J C D SOLUTION: In order for the lines to be perpendicular, the slopes
must have opposite reciprocals. The slope of the
given line is
so the opposite reciprocal is only line given with this slope is
. The
so the SOLUTION: The sequence of the number of squares in the four
figures is 1, 5, 9, 13.
Subtract each term from the term that follows it.
5 – 1 = 4; 9 – 5 = 4, 13 – 9 = 4
There is a common difference of 4. The sequence is
arithmetic.
Use the formula for an arithmetic sequence.
correct answer is A.
4. Write a recursive formula for the sequence of the
number of squares in each figure.
The first term a 1 is 1, and n ≥ 2. A recursive formula
for the sequence 1, 5, 9, 13 is a 1 = 1, a n = a n– 1 + 4,
n ≥ 2. Thus, the correct answer is H.
6
8
5. Evaluate (4.2 × 10 )(5.7 × 10 ).
F G H J A 2.394 × 1015
14
SOLUTION: The sequence of the number of squares in the four
figures is 1, 5, 9, 13.
Subtract each term from the term that follows it.
5 – 1 = 4; 9 – 5 = 4, 13 – 9 = 4
There is a common difference of 4. The sequence is
arithmetic.
Use the formula for an arithmetic sequence.
B 23.94 × 10
C 9.9 × 1014
48
D 2.394 × 10
SOLUTION: Thus, the correct answer is A.
6. Which inequality is shown in the graph?
The first term a 1 is 1, and n ≥ 2. A recursive formula
for the sequence 1, 5, 9, 13 is a 1 = 1, a n = a n– 1 + 4,
n ≥ 2. Thus, the correct answer is H.
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8
5. Evaluate (4.2 × 10 )(5.7 × 10 ).
F equation would be
.Because it is shaded
below and the line is solid the inequality would be
Standardized
Test Practice, Chapters 17
Thus, the correct answer is A.
6. Which inequality is shown in the graph?
. The correct answer is H.
7. Jaden created a Web site for the Science Olympiad
team. The total number of hits the site has received
is shown.
a. Find an equation for the regression line.
b. Predict the number of total hits that the Web site
will have received on day 46.
F G SOLUTION: a. On a graphing calculator enter the number of the
days in L1 and the number of hits in L2. Then
H J perform the regression by pressing
and choosing the CALC option. Scroll down to LinReg
SOLUTION: The boundary of the inequality is a line with a yintercept of (0, 1) and a slope of
equation would be
(ax + b) and press
twice.
. Therefore the
.Because it is shaded
below and the line is solid the inequality would be
. The correct answer is H.
7. Jaden created a Web site for the Science Olympiad
team. The total number of hits the site has received
is shown.
a. Find an equation for the regression line.
b. Predict the number of total hits that the Web site
will have received on day 46.
SOLUTION: a. On a graphing calculator enter the number of the
days in L1 and the number of hits in L2. Then
The equation of the regression line is y = 1.67x –
2.64.
b. Evaluate the linear regression when x = 46.
Therefore, the number of hits the Web site will
receive on day 46 will be about 74.
8. Find the value of x so that the figures have the same
area.
perform the regression by pressing
and CALC
LinReg
choosing the
option. Scroll down to
(ax + b) and press
twice.
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SOLUTION: Therefore, Test
the number
of hits
the Web17
site will
Standardized
Practice,
Chapters
receive on day 46 will be about 74.
8. Find the value of x so that the figures have the same
area.
Since
, the correct answer is no solution.
10. GRIDDED RESPONSE At a family fun center,
the Wilson and Sanchez families each bought video
game tokens and batting cage tokens as shown in the
table.
What is the cost in dollars of a batting cage token at
the family fun center?
SOLUTION: Find the area of each figure.
SOLUTION: Let x = the cost of a video game token
Let y = the cost of a batting cage token
Wilson:
Sanchez:
Use multiplication to solve the system of equations.
Set the areas equal and solve for x.
The video game tokens cost $0.50. Substitute this
back into one of the original equations to find the cost
of a batting cage token.
So, when x has a value of 4, the figures will have the
same area.
9. What is the solution to the following system of
equations? Show your work.
SOLUTION: Using substitution.
Therefore, the cost of a batting cage token is $1.75.
11. The table below shows the distances from the Sun to
mercury, Earth, Mars, and Saturn. Use the data to
answer each question.
Since
, the correct answer is no solution.
10. GRIDDED RESPONSE At a family fun center,
the Wilson and Sanchez families each bought video
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gameManual
tokens
and batting
cage tokens as shown in the
table.
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a. Of the planets listed, which one is the closest to the Sun?
b. About how many times as far from the Sun is Standardized Test Practice, Chapters 17
Therefore, the cost of a batting cage token is $1.75.
11. The table below shows the distances from the Sun to
mercury, Earth, Mars, and Saturn. Use the data to
answer each question.
a. Of the planets listed, which one is the closest to the Sun?
b. About how many times as far from the Sun is Mars as Earth?
SOLUTION: Because each of the distances is written in scientific
notation, the exponent can be used to determine the
smallest distance. Because the exponent in the
scientific notation for Mercury is the smallest, its
distance is the smallest and it is the closest planet to
the Sun.
(Earth’s distance)(how many times?) = Mar’s
distance
Mars is 1.52 times farther from the Sun than the
Earth.
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