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: _____________________