Final Review

Please take your time to attempt each question to the best of your ability. I will be reviewing the class answers to determine where we need to spend our time reviewing concepts.

On a separate piece of paper, keep track of any particularly challenging problems. The very last question will ask you to reflect back on the Pre-Test as a whole. Within your reflection please include up to 5 problems you felt were the most challenging for you on the Pre-Test.

2

How much money does Anna add to her bank account each month?

1

What is the area of Ted's deck?

238 ft²

52 ft²

161 ft²

294 ft²

1

A used car lot has 40 blue cars, 9 orange cars, 27 black cars, 11 red cars, 53 gray cars, and 60 white cars. What is the theoretical probability of a person selecting an blue car?

1/5

1 out of 6

25%

4/20

1

Marcus purchased an autographed baseball 10 years ago for $500. Now the value of the baseball has increased by 80%. What is the current value of the baseball?

$900

$1300

$600

$580

1

An expression is shown below.
3 * (-4)²÷ -2
What is the value of the expression?

-24

24

12

-12

1

Pat spins the spinner one time. Which statement about the result of the spin is true?

Region 1 is certain.

Region 2 is more likely than region 1.

Region 2 is more likely than region 3.

Region 1 and region 2 are equally likely.

1

Marvel Academy has a total of 276 students in 6th through 8th grade. A random sample of 53 students where surveyed. Of those surveyed, 37 students will be traveling for more than a week during summer vacation. Based on these results, approximately how many students out of the entire Academy will be traveling for more than a week during summer vacation?

395 students

90 students

223 students

193 students

1

Simplify: 4x – 5.2y + 6y + 7.9x – 8x

-1.3x + 6y

4.7xy

19.9x + 11.2y

3.9x + 0.8y

1

A piece of steel is in the shape of a triangle. One side of the triangle is 8 inches long. The lengths of the other two sides are equal and each is less than 8 inches long.

an isosceles triangle

a right triangle

an obtuse triangle

an equilateral triangle

2

The triangle in question 9 has angles measuring 51º and 78º. What is the measure of the last angle?

4

Another piece of steel is also in the shape of a triangle. One side of the triangle is 6 inches long. The lengths of the other two sides are equal and each is less than 6 inches long. The lengths of the unknown sides of the triangle are whole numbers of inches.
What are all the possible lengths, in inches, of the unknown sides of the triangle? Explain the process you used to find all the possible lengths.

1

Which statement best describes a random sample of all students in a middle school?

Of all the female students in 8th grade, every second student listed alphabetically is chosen.

Of all the students who attend a school-wide assembly, those sitting in every third seat are selected.

Of all the male students in 7th grade, every third student listed alphabetically is chosen.

Of all the students who complete an assignment, the first, third, and tenth students are selected.

1

Based on the line plots, which statement is true?

No team member from team B had more sales than any team member from team A.

Every team member from team A had more sales than 50% of the team members from team B.

At least one team member from each team had the median number of sales for his or her team.

The range for the number of sales for team A is equal to the greatest number of sales for team B.

1

A painter charges $32.50 per hour plus $80 to paint a house. The painter painted a house for less than $805. Which inequality can be used to determine all the possible numbers of hours (x) it took the painter to paint the house?

80x + 32.50 > 805

32.50x + 80 > 805

32.50x + 80 < 805

80x + 32.50 < 805

1

Gordon made a mistake in his scale drawing. For which object did Gordon not use the same scale as he did for the other objects?

bed

door

floor

table

2

A tank contains 680 gallons of fuel. The changes in the number of gallons of fuel in the tank over three days are listed below.
–388 -190 +572 -231 How many gallons of fuel are in the tank at the end of the three days?

1

Which expression is represented by the number line diagram?

-5.75 + (-1.75)

-5.75 + (-4)

-5.75 + 1.75

-5.75 + 4

1

Dominic and John record how much dry food their pets eat on average each day.
Dominic's pet: 4/5 cup of dry food
John's pet: 1 1/4 cups of dry food
Based on these averages, how many more cups of dry food will John's pet have eaten than Dominic's pet will have eaten over 2 seven-day weeks?

17.5 cups

6.3 cups

0.9 cup

11.2 cups

6

Compare the mean, median, and mode gas mileage for Garrett's and Ella's cars.

2

What is the measure of angle SQR?

1

Solve the inequality:
3( -x + 3 ) < 27

x > -6

x > 6

x < -6

x < 6

1

Simplify: -7(b + 1) + 8(b - 3)

b - 31

15b + 31

15b - 31

b + 31

1

Which mathematical equation represents the following sentence?
Five less than one-sixth of a number is twelve.

1

What is the area of the trapezoid?

36m²

127.5cm²

24cm²

255 cm²

5

Greg is planning to rent a small truck to move from NYC to Philadephia. The cost of renting the truck is $20 per day plus $0.39 per mile.
a. Write an inequality that can be used to find the maximum number of miles, m, Martin can drive without exceeding a total cost of $100 for one-day rental.
b. What is the maximum number of miles Greg can drive?
c. Greg will be returning the truck back to NYC. Philadelphia is 95 miles away from NYC. Can Greg afford to rent the truck?
Be sure to show all of your work for parts a - c.

Final Review

How much money does Anna add to her bank account each month?

What is the area of Ted's deck?

A used car lot has 40 blue cars, 9 orange cars, 27 black cars, 11 red cars, 53 gray cars, and 60 white cars. What is the theoretical probability of a person selecting an blue car?

Marcus purchased an autographed baseball 10 years ago for $500. Now the value of the baseball has increased by 80%. What is the current value of the baseball?

An expression is shown below. 3 * (-4)2 ÷ -2What is the value of the expression?

Pat spins the spinner one time. Which statement about the result of the spin is true?

Simplify: 4x – 5.2y + 6y + 7.9x – 8x

A piece of steel is in the shape of a triangle. One side of the triangle is 8 inches long. The lengths of the other two sides are equal and each is less than 8 inches long.

The triangle in question 9 has angles measuring 51º and 78º. What is the measure of the last angle?

Which statement best describes a random sample of all students in a middle school?

Based on the line plots, which statement is true?

A painter charges $32.50 per hour plus $80 to paint a house. The painter painted a house for less than $805. Which inequality can be used to determine all the possible numbers of hours (x) it took the painter to paint the house?

Gordon made a mistake in his scale drawing. For which object did Gordon not use the same scale as he did for the other objects?

A tank contains 680 gallons of fuel. The changes in the number of gallons of fuel in the tank over three days are listed below. –388 -190 +572 -231 How many gallons of fuel are in the tank at the end of the three days?

Which expression is represented by the number line diagram?

Dominic and John record how much dry food their pets eat on average each day. Dominic's pet: 4/5 cup of dry food John's pet: 1 1/4 cups of dry foodBased on these averages, how many more cups of dry food will John's pet have eaten than Dominic's pet will have eaten over 2 seven-day weeks?

Compare the mean, median, and mode gas mileage for Garrett's and Ella's cars.

What is the measure of angle SQR?

Solve the inequality: 3( -x + 3 ) < 27

Simplify: -7(b + 1) + 8(b - 3)

Which mathematical equation represents the following sentence?Five less than one-sixth of a number is twelve.

What is the area of the trapezoid?

How much money does Anna add to her bank account each month?

What is the area of Ted's deck?

A used car lot has 40 blue cars, 9 orange cars, 27 black cars, 11 red cars, 53 gray cars, and 60 white cars. What is the theoretical probability of a person selecting an blue car?

Marcus purchased an autographed baseball 10 years ago for $500. Now the value of the baseball has increased by 80%. What is the current value of the baseball?

An expression is shown below. 3 * (-4)2 ÷ -2What is the value of the expression?

Pat spins the spinner one time. Which statement about the result of the spin is true?

Simplify: 4x – 5.2y + 6y + 7.9x – 8x

A piece of steel is in the shape of a triangle. One side of the triangle is 8 inches long. The lengths of the other two sides are equal and each is less than 8 inches long.

The triangle in question 9 has angles measuring 51º and 78º. What is the measure of the last angle?

Which statement best describes a random sample of all students in a middle school?

Based on the line plots, which statement is true?

A painter charges $32.50 per hour plus $80 to paint a house. The painter painted a house for less than $805. Which inequality can be used to determine all the possible numbers of hours (x) it took the painter to paint the house?

Gordon made a mistake in his scale drawing. For which object did Gordon not use the same scale as he did for the other objects?

A tank contains 680 gallons of fuel. The changes in the number of gallons of fuel in the tank over three days are listed below. –388 -190 +572 -231 How many gallons of fuel are in the tank at the end of the three days?

Which expression is represented by the number line diagram?

Dominic and John record how much dry food their pets eat on average each day. Dominic's pet: 4/5 cup of dry food John's pet: 1 1/4 cups of dry foodBased on these averages, how many more cups of dry food will John's pet have eaten than Dominic's pet will have eaten over 2 seven-day weeks?

Compare the mean, median, and mode gas mileage for Garrett's and Ella's cars.

What is the measure of angle SQR?

Solve the inequality: 3( -x + 3 ) < 27

Simplify: -7(b + 1) + 8(b - 3)

Which mathematical equation represents the following sentence?Five less than one-sixth of a number is twelve.

What is the area of the trapezoid?

An expression is shown below.
3 * (-4)²÷ -2
What is the value of the expression?

A tank contains 680 gallons of fuel. The changes in the number of gallons of fuel in the tank over three days are listed below.
–388 -190 +572 -231 How many gallons of fuel are in the tank at the end of the three days?

Dominic and John record how much dry food their pets eat on average each day.
Dominic's pet: 4/5 cup of dry food
John's pet: 1 1/4 cups of dry food
Based on these averages, how many more cups of dry food will John's pet have eaten than Dominic's pet will have eaten over 2 seven-day weeks?

Solve the inequality:
3( -x + 3 ) < 27

Which mathematical equation represents the following sentence?
Five less than one-sixth of a number is twelve.

An expression is shown below.
3 * (-4)²÷ -2
What is the value of the expression?

A tank contains 680 gallons of fuel. The changes in the number of gallons of fuel in the tank over three days are listed below.
–388 -190 +572 -231 How many gallons of fuel are in the tank at the end of the three days?

Dominic and John record how much dry food their pets eat on average each day.
Dominic's pet: 4/5 cup of dry food
John's pet: 1 1/4 cups of dry food
Based on these averages, how many more cups of dry food will John's pet have eaten than Dominic's pet will have eaten over 2 seven-day weeks?

Solve the inequality:
3( -x + 3 ) < 27

Which mathematical equation represents the following sentence?
Five less than one-sixth of a number is twelve.