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Keystone Review Name: ___________________________
Practice Test 4 Date: _____________ Period: _______
Keystone Exam… Practice Test # 4
Part 1 – Multiple Choice
_______ 1) For what value of x should the expression be further simplified?
x34
A) 5x B) 7x
C) 13x D) 17x
_______ 2) Which is the equation of the line through the point (2 , 3) with a slope of 2
1?
A) 32
1 xy B) 4
2
1 xy
C) 22
1 xy D) 3
2
1 xy
_______ 3) The table shows the wholesale cost and the retail cost of various books in a store. Let w represent
the wholesale cost and r represent the retail cost. What is the relationship between the wholesale
cost and the retail cost?
Wholesale Cost 2.90 3.20 4.70 5.50 6.80
Retail Cost 4.40 4.70 6.20 7.00 8.30
A) 50.1 wr B) 50.1 wr
C) wr 50.1 D) rw 50.1
_______ 4) The function xxj 39)( represents the number of jumping jacks )(xj you can do in x minutes. How
many jumping jacks can you do in 5 minutes?
A) 195 B) 144
C) 7 D) 234
_______ 5) The Henson family are fencing a rectangular portion of their lot. They decide to make the length 12
feet longer than the width. They can afford 240 feet of fencing. What should be the dimensions?
A) 66 ft x 78 ft B) 54 ft x 42 ft
C) 54 ft x 66 ft D) 78 ft x 66 ft
_______ 6) A student scored 83 and 91 on her first two quizzes. Write and solve a compound inequality to find
the possible values for a third quiz score that would give her an average between 85 and 90.
A) 9681;903
918385
n
n
B) 32;903
918385
nn
C) 8196;853
918390
n
n
D) 9473;903
918583
n
n
_______ 7) Solve 23
4
b
ba for b.
A) ab B) 7
4ab
C) 5
4ab D)
ab
2
3
_______ 8) Which description best compares the graphs given by the equations 5156 yx
and 41230 yx ?
A) The lines are parallel
B) The lines coincide.
C) The lines are perpendicular.
D) The lines intersect but are not perpendicular.
_______ 9) Kendra owns a restaurant. She charges $3.00 for 2 eggs and one piece of toast, and $1.80 for one egg
and one piece of toast. How much does Kendra charge for an egg? A piece of toast?
A) $1.20 per egg and $0.60 for a piece of toast
B) $0.60 per egg and $1.20 for a piece of toast
C) $0.60 per egg and $0.60 for a piece of toast
D) $1.20 per egg and $1.20 for a piece of toast
_______ 10) The graph shows the level of water in a tank as a function of the time which has elapsed since
measurement began. What does the slope of this line mean?
A) the amount of water in the tank when they began timing
B) the amount of water in the tank after 1 minute
C) the rate at which the water was poured in the tank
D) the amount of water poured in the tank
_______ 11) Simplify: 1
824
A) 8
8 B)
22
8
C) 2
24 D) 22
_______ 12) Matt and Kim are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and
large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total
of $203. Kim sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. The
system of equations shown below represents this situation.
2201111
203143
yx
yx
Which statement is true?
A) A small box of oranges costs $13
B) Large boxes of oranges cost $6 more than small boxes of oranges.
C) A large box of oranges has 6 more oranges in it than a small box of oranges.
D) A small box of oranges has 7 oranges in it.
_______ 13) What are the solutions for 6112 2 xx ?
A) 3,6 x B) 3,6x
C)
2
1,6x D)
6,
2
1x
_______ 14) Find the rate of change. What does the rate of change mean in this situation?
A) 60 ; 1 hour to move 60 miles
B) 60 ; the speed is 60 miles per hour
C) 30 ; 1 hour to move 15 miles
D) 30 ; the speed is 30 miles per hour
_______ 15) A polynomial expression is shown below.
)2166()12)(2( 4523 xxxxxmx
The expression is simplified to 242142 2345 xxxx . What is the value of m?
A) -2 B) 2
C) 3 D) 3
_______ 16) Jeff drove at a constant speed from Dallas to his home. The graph below shows his distance from
Dallas as a function of time. If David drove the same route at a constant but slower speed, how
would the slope of the graph of David’s trip compare to the slope of the graph of Jeff’s trip?
A) The slope of David’s graph would be zero.
B) The slope of David’s graph would be less than that of Jeff’s graph.
C) The slope of David’s graph would be the same as that of Jeff’s graph.
D) The slope of David’s graph would be greater than that of Jeff’s graph.
_______ 17) Lily has $5,000 to invest. She earns $370 in interest by investing part of it in her savings account at an
interest rate of 5% and the other part in stocks that yield 9%. Which system of equations could be
used to determine how much she invests at each rate?
A) 3709.05.0
5000
ba
ba B)
37009.005.0
5000
ba
ba
C) 500095
370
ba
ba D)
37095
5000
ba
ba
_______ 18) The owner of Villa Capri surveyed 35 people about their favorite type of pizza and recorded the
results below.
The Villa Capri owner will ask another 18 people their favorite type of pizza. Based on the
information in the bar graph, how many of the 18 people would you expect to like their pizza plain or
with vegetables as a topping?
A) 9 B) 12
C) 6 D) 3
_______ 19) Determine the relationship between x and y for the following.
x y
-2 5
-1 3
8 5
0 2
3 -9
A) function only B) relation and a function
C) relation only D) neither a relation nor a function
0
2
4
6
8
10
12
14
Plain Meat Vegetables Mixture Other
Type of Pizza
_______ 20) The hypotenuse of a right triangle is 3 less than twice the length of the shorter leg. Find the length of
the hypotenuse if the longer leg is 12 centimeters.
A) 18 cm B) 15 cm
C) 9 cm D) 13 cm
_______ 21) Taylor’s closet contains red and gray shirts. She has eight red shirts and seven gray shirts. Five of the
red shirts have flowers and four of the gray shirts have flowers. What is the probability that Taylor
randomly chooses a shirt that is gray or does not have flowers?
A) 0.8 B) 0.67
C) 0.33 D) 0.87
_______ 22) The table below shows the height of an elevator above ground level after a certain amount of time.
Model the data with an equation in slope-intercept form. Let y stand for the height of the elevator
and let x stand for the time in seconds.
Time (seconds) Height (feet)
10 202
20 184
40 148
60 112
A) 2028.1 xy B) 8.1220 xy
C) 2208.1 xy D) 20210 xy
_______ 23) Determine which of the following graphs represent a function.
I. II. III.
A) I only B) II only
C) I and III D) I and II
Part 2 – Constructed Response
24) Jen has $10 and earns $8 per hour tutoring. Robert has $9 and makes $14 per hour tutoring.
A) Write an equation to model Jen’s money earned. Let h represent the number of hours and
m represent the total money earned.
Jen: _____________________
B) After how many tutoring hours will Jen have $106?
Hours: _____________________
C) Write an equation to model Robert’s money earned. Let h represent the number of hours
and m represent the total money earned.
Robert: _____________________
D) Using the equations written in part A and part C, find the number of minutes of tutoring
after which Jen and Robert will have the same amount of money.
Minutes: _____________________
25) Sally and her friends started a lemonade stand. Sally’s mom provides the start-up funding. The kids earned
the rest of the money from selling lemonade.
Cups of Lemonade Sold (x) Total Money Collected (y)
10 $22.00
15 $24.50
20 $27.00
25 $29.50
A) Write a linear equation, in slope-intercept form, to represent the total amount of money
from selling lemonade (y) based on the number of cups (x).
Equation: _____________________
B) How much did each cup of lemonade cost?
Cost per Cup: _____________________
C) What part of the equation tells us this information found in part B? Explain your answer.
Explanation:
D) How much money did Sally’s mom provide for start-up costs?
Start-up Costs: _____________________
E) What part of the equation tells us this information found in part D? Explain your answer.
Explanation:
26) A cake pan is made by cutting four squares from a 18 cm by 24 cm piece of tin and folding the sides as
shown.
A) Write an expression for the length, width, and height of the cake pan in terms of x. Length: _____________________
Width: _____________________
Height: _____________________
B) Multiply the expressions from part A to find a polynomial that gives the volume of the cake pan.
Volume: _____________________
C) Complete the table below by evaluating the polynomial from part B for x = 1, x = 2, x= 3,
and x= 4.
x = 1
x = 2
x = 3
x = 4
D) Which value of x from part C gives the cake pan with the largest volume? Prove it algebraically.
x : _____________________
E) Give the dimensions and the volume of the largest cake pan (don’t forget units).
Dimensions: _____________________ Volume: _____________________
27) Ahava is traveling on a train.
B) Ahava also considered taking an airplane. The airplane can travel the same 1,120 miles in 12
hours less time than the train. What is the speed of the airplane in miles per hour (mph) ?
Speed of Airplane: _____________________
A) The train is going at a constant speed of 80 miles per hour. How many hours will it take for the
train to travel 1,120 miles?
Hours: _____________________
D) On another trip, Ahava traveled to her destination on a train and returned home on an airplane.
Her total carbon footprint for the trip was 0.42 metric tons of CO2 produced. How far, in miles, is
Ahava’s destination from her home?
Miles: _____________________
C) Ahava is very concerned about the environment. The graph below displays the carbon dioxide
(CO2) , in metric tons, for each traveler on an airplane and each traveler on a train.
What is the equation to find the metric tons of CO2 produced (y) by a traveler on an airplane for
miles traveled (x) ?
Equation: _____________________