With a Scale of 1 Inch = 30 Miles? 2

1.7M1 What is the actual distance between two towns that are 3 1 inches apart on the map

with a scale of 1 inch = 30 miles? 2

A 30 miles

B 210 miles

C 280 miles

D 15 miles

2.7M1 The distance on a map between two towns is 7.5 cm. The scale of the map is

1 cm = 7 km.

Part A

What is the actual distance between the two towns?

Part B

Use what you know about calculating distances using a map scale to explain

why your answer is correct. Use words and/or numbers to support your

explanation.

3.7M5 A magazine subscription to Cooking Light costs $28 per year for 10 issues. What is

the price per issue?

A $2.80

B $1.40

C $28.00

D $14.00

4.7M5 Brand A jar of pickles weighs 26 oz. and costs $3.99. Brand B jar of pickles weighs

32 oz. and costs $4.79.

Part A

Which brand of pickles is the better buy?

Part B

Use what you know about unit price to explain why your answer is correct. Use

words and/or numbers to support your explanation.

5.7M6 Brand W Brand X Brand Y Brand Z

18oz. 20 oz. 24 oz. 26 oz.

$2.50 $2.70 $3.60 $3.60

Which brand is the least expensive for one ounce?

A Brand W

B Brand X

C Brand Y

D Brand Z

6.7M6 Anne paid $27 for 9 gallons of gasoline. Bonnie paid $40 for 14 gallons of gasoline.

Part A

Who paid the most per gallon?

Answer:______

Part B

Explain how you found this solution.

7.7G5

What is the name in ZXY of the right angle?

A 2

B XY

C X

D XZ

8.7G5 In the XYZ label the hypotenuse

and 2 legs.

9.7G6

Which expression shows the relationship of the three sides of the triangle?

A XY 2 + YZ 2 = XZ 2

B XY 2 + YZ 2 = XZ 2

C XY = YZ = XZ

D XY 2 + YZ 2 = XZ

10.7G6 In a right triangle with B a 90 degree angle:

Part A

Label the triangle and the 90 degree angle.

Part B

Side AB is a leg or hypotenuse? ______

Side BC is a leg or hypotenuse? ______

Side AC is a leg or hypotenuse? ______

11.7G8

In rectangle ABCD side AD is 8 feet and side CD is 6 feet. How long is side AC?

A 10 feet

B 8 square feet

C 10 square feet

D 8 feet

12.7G8 In the following right triangle label the 2 legs if their lengths are 3 feet and 4 feet.

Find the hypotenuse and label its length.

Use the Pythagorean Theorem to explain your decision.

13.7G9 In the diagram below of a bookend, measurements are given in centimeters.

Does the bookend make a right angle to the table? ______

Explain your answer.

______

14.7G9

Find the length of side AC.

Explain how you found your answer.

______

15.7A2 15d + 27d – 8d

A 33 + 3d

B 33d

C 51d2

D 50d

16.7A2 2n2 + 6n – 4n + 18

The above expression represents the area of a rectangle. Simplify the expression

and explain your work.

______

17.7A3 Which expression is a polynomial?

A 1 y

B 4 + 1

x 2

C 5 - 5

y2 y

D 2x2 + 3x + 5

x – 3

18.7A3 Part A

On the line below, write and example of a polynomial with four terms.

Polynomial: ______

Part B

In the space below, explain why your example is a polynomial.

______

19.7A4 What is the solution for this equation?

5x + 2(x – 7) = x + 1

A x = - 7

B x = 2

C x = 3

D x = - 6

20.7A4 x – 2 = 6

Find the value of x in the equation.

Explain how you solved the equation.

______

21.7A7 Which line is in the graph of y = 1 x – 2 ?

A line W C line Y

B line X D line Z

22.7A7 Look at this equation.

y = -2x + 3

Part A

Complete this table of values for the equation.

x / y
0
1
2
3

Part B

Graph the line on the coordinate plane.

23.7A8 The connection between n and p is shown below.

n / 0 / 1 / 2 / 3 / 4 / 5
p / 0 / -6 / -12 / -18 / -24 / -30

Part A

Explain the connection by writing an equation!

Equation:______

Part B

In words below, explain this connection.

______

24.7A9 The diagram shows the trail of a spacecraft on the surface of Venus.

What is the measure of the missing angle?

A 35 degrees

B 85 degrees

C 55 degrees

D 75 degrees

25.7A9 Mr. Cole built a picnic table in the shape of a regular octagon.

Part A

What is the sum of the measures of the angles on the table?

Answer: ______degrees

Part B

Each angle is a regular octagon has the same measure. What is the

measure of each angle of Mr. Cole’s picnic table?

Answer: ______degrees

Part C

In the space below, explain how you got your answers to Parts A and B.

______

26.7A10 Choose the equation that is for the rule of the pattern from the table below.

x / y
-4 / -12
-3 / -9
-2 / -6
-1 / -3

E y = 3x

F y = -3x

G y = x + 3

H y = x – 3

27.7A10 Read the problem. Write your answer for each part.

The table below shows the relationship between time in hours and the amount in

gallons of gasoline in a gas tank of a car.

GASOLINE IN CAR TANK

Time
(in hours) / Amount of Gasoline
(in gallons)
0 / 15
1 / 13
2 / 11
3 / 9
4 / 7

Part A

Let t = time in hours and A = amount of gasoline in gallons.

On the line below, write an equation that shows the relationship in the table.

Equation:______

Part B

Write below how you got your answer.

______

Part C

With a continuing pattern, determine the value of t when A = 0.

Show your work.

Answer:______