Region 1 scaffold materials for the March 2006 Math Exam Book 2.

**Region One Mathematics Scaffold Questions.**

Question 28

Standard / 8.N.4Apply percents to sale pricePractice Question 28A / Corey forgot to pay his phone bill and was charged a 5% service fee on the total amount owing. He owed $33.59 for March, $44.45 for April and $29.95 for May. How much did he have to pay, including the service fee?

Show your work.

Answer $______

Practice Question 28B / Fancy Frank’s Footwear was having a 15% off sale. Jose went to the store and purchased a pair of boots for $39.99, a pair of sneakers for $65.45 and a pair of sandals for $9.50. What was the total of Jose’s purchase after the discount was applied and before sales tax was added?

Show your work.

Answer $______

Practice Question 28C / Eilish went to the store to buy some lunch. She bought a hamburger for $4.50, a soda for $1.25 and some chips for 99 cents. How much did she pay after a sales tax of 8.75% was applied?

Show your work.

Answer $______

Test Question 28

March 2006 / Toni wanted some ribbon to use on some presents for her friends. She measured the boxes and found that she needed 23.5 inches for one box, 12.7 inches for another, and 9.9 inches for the third. She decided to allow an extra 20% to make a decorative bow. How much ribbon did she need to by in total?

Show your work.

Answer ______inches

Question 29

Standard /*8.G.4Determine angle pair relationships when given two parallel lines cut by a transversal.*

Practice Question 29A / In the diagram below, the lines X and Y are parallel.

Part A

What is the measure of angle 1

Answer ______degrees

On the lines below, explain how you determined the measure of angle 1

______

______

______

______

Part B

What is the measure, in degrees, of angle 2?

Answer ______degrees

On the lines below, explain how you determined the measure of angle 2

______

______

______

______

Practice Question 29B / In the diagram below, the lines A and B are parallel.

Part A

What is the measure of angle 1. Answer ______degrees

On the lines below, explain how you determined the measure of angle 1

______

______

______

Part B

What is the measure, in degrees, of angle 2? Answer ______degrees

On the lines below, explain how you determined the measure of angle 2

______

______

______

Practice Question 29C / In the diagram below, the lines P and Q are parallel.

Part A

What is the measure of angle 1 Answer ______degrees

On the lines below, explain how you determined the measure of angle 1

______

______

______

Part B

What is the measure, in degrees, of angle 2? Answer ______degrees

On the lines below, explain how you determined the measure of angle 2

______

______

______

Test Question 29 / In the diagram below, the lines M and N are parallel.

Part A

What is the measure of angle 1. Answer ______degrees

On the lines below, explain how you determined the measure of angle 1

______

______

______

Part B

What is the measure, in degrees, of angle 2? Answer ______degrees

On the lines below, explain how you determined the measure of angle 2

______

______

______

______

Question 30

Standard /

*7.M.1Calculate distance using a map scale*

Practice Question 30A

/ The diagram below represents a trapezoidal lawn in the park. Use your ruler to find the perimeter of the park.

Show your work.

Answer ______feet

Practice Question 30B / A plane flies from Perth to Cairns. Based on the scale drawing below, what is the distance in miles the plane travels?

Show your work.

Answer ______ miles

Practice Question 30C /

On the map above the black dot shows the center of the earthquake that caused the huge tsunami wave that killed about 200,000 people in December 2004. Many of those casualties were in Bangladesh. Use your ruler to determine how far the wave traveled from the earthquake center before reaching the coast of Bangladesh.

Show your work.

Answer ______ miles

Test Question 30 / A kangaroo named Skippy travels from Sydney to Brisbane. Based on the scale drawing below.

What is the distance, in miles, Skippy travels?

Show your work.

Answer ______ miles

Question 31

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 31A / Solve for x in the equation below.

3(2x - 2) - 5 = 2x + 4 + x

Show your work

Answer ______

On the lines below, explain how to use the distributive property to help you solve this equation.

Practice Question 31B / Solve for x in the equation below.

5(4x – 5) + 3 = 9x – 1 – 3x

Show your work

Answer ______

In this problem you need to gather like terms. On the lines below, explain how gathering like terms helps you solve this equation.

Practice Question 31C / Solve for x in the equation below.

4(10x + 6) + 7 = 11x + 5 + 3x

Show your work

Answer ______

In this problem you have to “

*Do the same to both sides of the equation”*

On the lines below, explain how doing the same to both sides helps you solve this equation.

Test Question 31 / Solve for x in the equation below.

9(7x – 3) – 9 = 2(x + 12) + x

Show your work

Answer ______

On the lines below, explain the steps you used to solve the equation.

Question 32

Standard /

*7.G.8Use the Pythagorean Theorem to determine the unknown length of a side of a right triangle*

Practice Question 32A / The distance between bases on a baseball diamond is 90 feet. When the catcher throws the ball from home base to make an out at second base, how far does he throw the ball?

Show your work.

Answer ______ feet

Practice Question 32B / Crystal and Didi were trying to find the length of the hypotenuse of the triangle drawn below. Crystal said it was 55 inches, but Didi said it was 11.18 inches. Who was correct?

Show your work.

Answer ______ feet

Practice Question 32C /

Show your work.

Answer ______ feet

Test Question 32 / Tyrone is building a skateboard ramp with a piece of plywood that is 8 feet long.

He wants the height of the ramp to be 5 feet.

To make a strong ramp, the base must form a right angle with the back of the ramp.

What will be the length of the base rounded to the nearest tenth of a foot?

Show your work.

Answer ______ inches

Question 33

Standard /

**7.A.10Write an equation to represent a function from a table of values.**

Practice Question 33A / Complete the function table below with the missing values for y

x / 1 / 2 / 3 / 4 / 5 / 6

y / 4 / 7 / 10 / 13

Based on the function table, write a function rule that shows the relationship between x and y.

Answer ______

Practice Question 33B / Complete the function table below with the missing values for y

x / y

2 / 9

4 / 19

6 / 29

8 / 39

10

12

Based on the function table, write a function rule that shows the relationship between x and y.

Answer ______

Practice Question 33C / Complete the function table below with the missing values for y

x / -2 / -1 / 0 / 1 / 2 / 3

y / 1 / 2 / 5 / 10

Based on the function table, write a function rule that shows the relationship between x and y.

Answer ______

Test Question 33 / Complete the function table below with the missing values for y

x / y

1 / 1

2 / 0.5

3 /

4 / 0.25

5

6

Based on the function table, write a function rule that shows the relationship between x and y.

Answer ______

*Constructed by A.U.S.S.I.E consultants in support of the Region 1 Math team.*