1. How can the expression 8x + 2y - 3x + 6z - 7y + 3z be simplified?

A. 11x – 2y + 3zB. 6x – y – z C. 5x – 5y + 9zD. 11x + 5y – 9z E. 5x – 9y + 9z

After adding the x terms, which answers are still viable? Choose any that you believe are viable.

A. A

B. B

C. C

D. D

E. E

2. What is 5% of ?

A. 2.5

B. .C. 5 %D. .E. 10%

14

1

2

12

140

Talk with you partner about the knowledge needed to solve the previous problem.

3. In 1936, New Mexico had 18 Indian pueblos with a total population of 10,565, an increase of approximately 22% in 20 years. What was the approximate Indian population in 1916?

A. 2,324B. 7,635C. 8,241D. 8,659E. None of these

Jot down some steps you might take if several of your students miss the previous problem.

4. If Melissa has x dimes, and the number of nickels she has is 1 more than three times the number of dimes, and the number of quarters is 1 less than twice the number of nickels, how may the number of quarters be expressed?

A. 3x + 1

B. 3(2x – 1) + 1

C. 6x + 1

D. 6x

E. 10x + 2

What high school course attends to the content in the previous question?

A. Algebra IB. Algebra IIC. GeometryD. None of the aboveE. All of the above

5. A chord 16 inches is drawn 6 inches from the center of a circle. What is the length of the radius of the circle in inches?

A. 2

B. 5

C. 10

D. 15

E. None of these

5

List at least two mathematical ideas critical to solving the previous problem.

6. The area of a rectangular floor is 170 square feet. The length of the floor is 3 feet less than twice the width. How many feet wide is the floor?

A. 8.5B. 10C. 14D. 15E. 17

What content is addressed in the previous question?

7. In the standard (x, y) coordinate plane, if the distance between points (8, a) and (a, 1) is 5 coordinate units, which of the following could be the value of a?

A. 5B. 3C. -3D. -4E. -5

List several ways student can miss this problem.

8. If x = -2 and y = 3, then x3y + xy3 = ?

A. -30B. -36C. -48D. -78E. -108

How able are your students to correctly substitute for a variable?

A. Very ableB. More able than notC. AbleD. Somewhat ableE. Not able

9. In the standard (x, y) coordinate plane, how many times does the graph of y = (x +1)(x - 2)(x + 3)(x + 4) intersect the x-axis?

A. 10B. 6C. 4D. 3E. 1

I used a calculator to solve the previous problem

True

False

10. An object 4 feet tall casts a 3-foot shadow when the angle of elevation of the sun is . What is tan ?

A. .B. 1C. .D. 7E. 12

3

4

4

3

When does your school teach right triangle trigonometry?