Question 34
Standard / 7.M.5Calculate unit price using proportionsPractice Question 34A / The table below shows the time it took three racing cars to travel around the same track.
Car / Number of laps of the circuit / Total Time / Average time per lap
Rick’s Rocket / 4 / 8 mins 32 seconds
Meg’s Missile / 6 / 12 mins 54 seconds
Frank’s Flash / 7 / 14 mins 35 seconds
Complete the table to determine which car had the fastest average lap time.
Show your work.
Answer ______
Practice Question 34B / The table below shows how much money Cindy earned for babysitting for one month.
Client / Number of hours / Total Paid / Dollars per hour
Mr & Mrs Wu / 12 / $72.00
Mr Gonzalez / 15 / $82.50
Ms Johnson / 13 / $74.75
Complete the table to determine which client paid Cindy the lowest price per hour..
Show your work.
Answer ______
Practice Question 34C / The table below shows how much fuel (gallons) was required for three families to travel by car from New York City to three different destinations.
Family / Number of gallons / Distance to Destination / Miles per gallon
Henriquez / 8 / 165
Filipo / 12 / 188
Bernstein / 7 / 177
Complete the table to determine which family got the most miles per gallon from their car. Show your work.
Answer ______
Test Style Question 34 / The table below shows the prices of three different-sized packages containing the same type of candy.
Package / Weight in ounces / Package
Price / Candy Price
(per ounce)
A / 8 / $1.60
B / 10 / $1.80
C / 12 / $2.04
Complete the table to determine which package has the lowest candy price, per ounce. Show your work.
Answer ______
Question 35
Standard / 7.G.8Use the Pythagorean Theorem to determine the unknown length of a side of a right trianglePractice Question 35A / The hands on a clock showed that the time is 3 o’clock. The minute hand is 2 inches long and the hour hand is 1.5 inches long.
What is the distance from the tip of the hour hand to the tip of the minute hand?
Show your work
Answer ______
On the lines below, explain how you know that your answer is correct.
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Practice Question 35B / Margi wants to cut out a right triangle from construction paper for her science project.
She wants the hypotenuse to be feet in length and she has a piece of construction paper that is 15 inches long and 12 inches wide. Will Margi be able to cut the construction paper to make a triangle with a hypotenuse of feet ?
Hint: Change Inches to Feet first.
Show your work
Answer ______
On the lines below, explain how you know that your answer is correct.
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Practice Question 35C / Krissi made a triangular birthday card for her brother for his 15th birthday. The top vertex of the triangle is a right angle, and the legs are 10 cms.
However, she forgot to get an envelope for the card. The only envelope she could find measured 15 cms long and 8 cms high.
Will Krissi’s card fit into the envelope?
Hint: The perpendicular bisector of the right angle bisects the base.
Show your work
Answer ______
On the lines below, explain how you know that your answer is correct.
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Test Style Question 35 / The box in the figure across has a
base length of 4cm and a base width of 3 cm.
The height of the box is 4cm.
What is the length of the diagonal d?
HINT: This is a two part problem.
Show your work
Answer ______cm
On the lines below, explain how you know that your answer is correct.
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Question 36
Standard / 8.A.12 Apply algebra to determine the measure of angles formed by or
contained in parallel lines cut by a transversal and by intersecting lines.
Practice Question 36A / In the diagram below lines a and b are parallel
Part A
What is the value of x?
Show your work.
Answer ______
Part B
What is the measure, in degrees, of ABC ?
Answer ______ degrees
Practice Question 36B / In the diagram below lines p and q are parallel.
Part A
What is the value of p?
Show your work.
Answer ______
Part B
What is the measure, in degrees, of KLM ?
Answer ______ degrees
Practice Question 36C / In the diagram below lines r and s are parallel.
Part A
What is the value of k?
Show your work.
Answer ______
Part B
What is the measure, in degrees, of XYZ ?
Answer ______ degrees
Test Style Question 36 / In the diagram below lines y and z are parallel.
Part A
What is the value of m?
Show your work.
Answer ______
Part B
What is the measure, in degrees, of DEF ?
Answer ______ degrees
Question 37
Standard / 8.G.7 to 8.G.12Draw the image of a figure under transformation.Practice Question 37A / Triangle ABC is drawn on the grid below
On the grid, draw a translation of triangle ABC four units down.
Be sure to
- Draw the translated shape
- Label the translated triangle A`B`C`
Answer (_____ , _____ )
Practice Question 37B / Quadrilateral RSTV is drawn on the grid below.
On the grid, draw a translation of quadrilateral PQRS five units down and three units to the left.
Be sure to
- Draw the translated shape
- Label the translated quadrilateral P`Q`R`S`
Answer (_____ , _____ )
Practice Question 37C / Pentagon JKLMN is drawn on the grid below.
On the grid, draw a 180o rotation of pentagon JKLMN and then move it three units to the right.
Be sure to
- Draw the rotated and translated shapes
- Label the rotated pentagon J`K`L`M`N` and the translated pentagon J``K``L``M``N``
Answer (_____ , _____ )
Test Style Question 37 / Quadrilateral ABCD is drawn on the grid below.
On the grid, draw a translation of quadrilateral ABCD three units up and four units to the right
Be sure to
- Draw the translated shape
- Label the translated quadrilateral A`B`C`D`
Answer (_____ , _____ )
Question 38
Standard / 7.A.4 Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation.
Practice Question 38A / Solve for m in the equation below.
Show your work.
Answer ______
Practice Question 38B / Solve for p in the equation below.
Show your work.
Answer ______
Practice Question 38C / Solve for x in the equation below.
Show your work.
Answer ______
Test Style Question 38 / Solve for k in the equation below.
Show your work.
Answer ______
Question 39
Standard / 8.N.4 Apply percents to: Tax, Percent increase/decrease, Simple interest, Sale price, Commission, Interest rates, Gratuities
Practice Question 39A / Brian is 10% taller than Richard. Richard is 10% taller than Jemal. Jemal is 5 feet tall.
Part A
How tall is Richard?
Show your work.
Answer ______feet
Part B
How tall is Brian?
Show your work.
Answer ______feet
Practice Question 39B / Rafael said that if you had $100 and then first added 7.5% and then took off 7.5% from the result, you would still have $100. Quentin disagreed. Who was right?
Show your work
Answer ______
Practice Question 39C / Joe increased his baseball batting average by 15% during May, but then his average went down by 20% during a slump in June. His average was 0.350 at the beginning of May.
Part A
What was his average at the end of May?
Show your work.
Answer ______
Part B
What was his average at the end of June?
Show your work.
Answer ______
Test Style Question 39 / iPods were on sale at Super Savings Store for 20% off. Ron went to buy one which was normally priced at $149.95.
Part A
What was the sale price of the iPod?
Show your work.
Answer ______
Part B
Sales tax was 8.25%. What was the final cost of the iPod?
Show your work.
Answer ______
Question 40
Standard / 7.M.5 Calculate unit price using proportions
Practice Question 40A / It takes 1000 pounds of milk to make 100 pounds of cheese. Write a proportion that can be used to determine the amount of milk required to make 65 pounds of cheese.
Proportion ______
Solve your proportion to determine the amount of milk required to make 65 pounds of cheese.
Answer ______pounds
Practice Question 40B / CD Savings had a summer CD sale.
Cindy chose three CD’s that she liked. Write a proportion to determine the cost before tax of the three CD’s she bought.
Proportion ______
Solve your proportion to determine the cost before tax of three CD’s.
Answer $______
Practice Question 40C / Ruben walks 0.4 miles to school in 7 minutes. He wondered how far he could walk in one hour. Write a proportion that would help Ruben determine how far he could walk in an hour. (Recall that 1 hour = 60 minutes)
Proportion ______
Solve your proportion to determine how far Ruben could walk in an hour.
Answer ______ miles
Test Style Question 40 / Sherry estimated that it took one hour and 30 minutes to read one third (0.33) of a book. She wondered how long it would take to get half way (0.5) through the book. Write a proportion that would help Sherry estimate how long it would take to read half the book.
Proportion ______
Solve your proportion to determine how long it would take Sherry to read half the book.
Answer ______ hours
Question 41
Standard / 7.A.4Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation.
Practice Question 41A / Solve for x in the equation below.
Show your work
Answer ______
Practice Question 41B / Solve for p in the equation below.
Show your work
Answer ______
Practice Question 41C / Solve for k in the equation below.
Show your work
Answer ______
Test Style Question 41 / Solve for m in the equation below.
Show your work
Answer ______
Question 42
Standard / 7.A.10 Write an equation to represent a function from a table of values.
Practice Question 42A / Tourists are able to rent row boats at Lake Beauty and the table below shows the cost.
COST OF BOAT RENTAL
Number of Hours
(h) / Cost of Rental
(c)
1 / $6.50
2 / $9.50
3 / $12.50
4 / $15.50
Write a function rule for the cost of rental (c) and the number of hours (h).
Answer ______
What will be the cost of rental for 5 hours?
Show your work.
Answer $ ______
Practice Question 42B / Brian and Jason were shooting baskets. They were awarding points for the number of consecutive baskets thrown. The number of points obtained is shown in the table below.
SHOOTING BASKETS
Number of Consecutive Baskets
(b) / Number of Points
(p)
1 / 5
2 / 15
3 / 25
4 / 35
Write a function rule for the number of points (p) and the number of baskets (b)
Answer ______
How many points would Brian receive for throwing 10 consecutive baskets?
Show your work.
Answer ______points
Practice Question 42C / Kevin and Paul were throwing snowballs at a target. They each had 20 throws and they scored points for hitting the target according to the table below. In addition, five points were deducted for every time a miss was recorded.
SNOWBALL THROWS
Number of Hits on the Target
(h) / Points for Hits on the Target
(p)
1 / 20
2 / 30
3 / 40
4 / 50
Write a function rule for the number of points (p) after 20 throws and the number hits on the target (h) that includes the number of misses.
Answer ______
How many points would Brian receive for hitting the target 10 times?
Show your work.
Answer ______points
Test Style Question 42 / The table below shows the cost of hiring workers to clean a stadium after the game.
CLEANING COST
Number of Hours Worked (h) / Cost (c )
1 / $18
2 / $26
3 / $34
4 / $42
Write a function rule for that shows the relationship between the Cost and the Number of Hours Worked.
Answer ______
How much would a worker earn for working 6 hours?
Show your work.
Answer $ ______
Question 43
Standard / 8.G.7 to 8.G.12Draw the image of a figure under transformation.
Practice Question 43A / Emily drew the shape on the grid shown below. Draw the reflection of this shape in the y-axis. Label the coordinates of each point in the new figure
On the lines below, explain how you determined the reflection of the shape.
Practice Question 43B / Marci drew the shape on the grid shown below. Draw a rotation of 90o clockwise about the origin. Label the coordinates of each point on the translated figure.
On the lines below, explain how you determined the rotation of the shape.
Practice Question 43C / Tracy drew the shape on the grid shown below. Draw a rotation of 180o about the origin, followed by a reflection in the x-axis. Label the coordinates of each point on the reflected figure.
On the lines below, explain how you determined the rotation and reflection of the shape.
Test Style Question 43 / Tony drew the shape on the grid shown below. Draw a reflection in the x-axis. Label the coordinates of each point on the reflected figure.
On the lines below, explain how you determined the reflection of the shape.
Question 44
Standard / 8.N.6 Justify the reasonable ness of answers using estimation
Practice Question 44A / Kelly attends a school where it is estimated that between 50% and 60% of students speak a second language. Marion says that would be about 270 students. The school enrolment is 495.
On the lines below, explain if Marion’s estimate is correct.
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Practice Question 44B / Mr. Morgan told Olivia that the weekly cost of gasoline for his car had risen from $25.00 per week to $53.00 per week during the past year. He said that the cost had gone up between 100% and 200%. Olivia was not so sure about the percentage increase.
On the lines below, explain if Mr. Morgan’s estimate is correct.
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Practice Question 44C / Jolam said that the population of his city was 650,000 and that it was expected to increase by 3 % to 4% next year. Milagros said that was about 25,000 people.
On the lines below, explain if Milagros’ estimate is correct.
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Test Style Question 44 / Jolie weighs 130 pounds and would like to lose some weight. She saw the advertisement shown at right on TV and told her friend, Dana that she was going to phone for an appointment.
Dana said that Jolie could be down to less than 120 pounds after 10 weeks.
On the lines below, explain if Dana’s estimate is correct.
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Question 45
Standard / 8.M.1 Solve equations/proportions to convert to equivalent measurements within metric and customary measurement systems
Practice Question 45A / Tamsen was doing a science experiment to determine how far a toy car would roll after traveling down an incline. Unfortunately the only ruler she could find was one that measured 18 inches. Tamsen estimated that the car rolled 6 feet. Using her ruler, about how many times will Tamsen have to measure off 18 inches to find the exact distance the car rolled? (Hint: Draw a diagram.)
Show your work.
Answer ______ times
Practice Question 45B / Isaac has a timer like the one shown which takes 20 seconds to empty. He and Ben are playing a game in which each player has 1½ minutes to complete their turn. How many times will they have to turn the timer over to measure out a time of 1½ minutes?
(Hint: Make a chart.)
Show your work.
Answer ______ times
Practice Question 45C / Owen wanted to check the size of the basketball court. He decided to check it by wheeling his bicycle along the side lines. He knew that the circumference of his bicycle wheel was 71/3 feet.
How many times would the wheel rotate along the side line which is 94 feet long?
Show your work.
Answer ______ times
Test Style Question 45 / Shanaya bought a new fish tank which required at least
15 gallons of water. Unfortunately she only had a 2 ½ quart
measuring jug. How many full jugs of water must Shanaya put into the tank to make sure she has at least 5 gallons?
Show your work.
Answer ______ times