Math A Component Retest

April 2004

Component 7, Module 1

Key to Multiple-Choice Questions

(1)	1
(2)	4
(3)	3
(4)	2
(5)	4
(6)	2

Rubrics

(7)

[ 4 ] (30,–10), and appropriate algebraic work is shown.

[ 3 ] Appropriate algebraic work is shown, but one computational error is made.

or

[ 3 ] Appropriate algebraic work is shown, but only one variable is found.

[ 2 ] Appropriate algebraic work is shown, but two or more computational errors are made.

or

[ 2 ] Appropriate algebraic work is shown, but one conceptual error is made.

or

[ 2 ] A method other than an algebraic method is used to find a correct solution, and appropriate work is shown.

[ 1 ] Appropriate algebraic work is shown, but one conceptual error and one computational error are made.

or

[ 1 ] The trial-and-error method is used to find a correct solution, but only two trials and appropriate checks are shown.

or

[ 1 ] An appropriate algebraic process is set up, such as substitution for one variable into one of the equations, but the solution is not completed.

or

[ 1 ] A method other than an algebraic solution is used, and one computational or graphing error is made, but an appropriate solution is found.

or

[ 1 ] (30,–10), but no work is shown.

[ 0 ] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure.

(8)

[ 4 ] All lines are graphed and labeled correctly and area = 12.5, and appropriate work is shown. [Two of the lines must be labeled for full credit.]

[ 3 ] All lines are graphed correctly and area = 12.5, but the lines are not labeled or are labeled incorrectly.

or

[ 3 ] The lines are graphed and labeled correctly, but the area of the triangle is missing or is incorrect.

or

[ 3 ] Only two of the three lines are graphed correctly, but the area of the triangle is found appropriately.

[ 2 ] Only two of the three lines are graphed correctly, and the area of the triangle is missing or is incorrect.

[ 1 ] Only one line is graphed and labeled correctly, and no further correct work is shown.

or

[ 1 ] All three lines are graphed incorrectly, but the area of the triangle is found appropriately.

or

[ 1 ] Area = 12.5, but no work is shown and no graph is drawn.

[ 0 ] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure.

(9)

[ 4 ] 150, and appropriate work is shown, such as a + g = 600 and 1.5a + 2g = $975 or 1.5x + 2(600 – x) = 975 or trial and error with at least three trials and appropriate checks.

[ 3 ] Appropriate work is shown, but one computational error is made.

or

[ 3 ] Appropriate work is shown, but the correct number of advance sales tickets is found.

[ 2 ] Appropriate work is shown, but two or more computational errors are made.

or

[ 2 ] Appropriate work is shown, but one conceptual error is made.

or

[ 2 ] An incorrect equation or system of equations of equal difficulty is solved appropriately.

or

[ 2 ] The trial-and-error method is used to find a correct solution, but only two trials and appropriate checks are shown.

or

[ 2 ] The trial-and-error method is attempted and at least six systematic trials and appropriate checks are shown, but no solution is found.

[ 1 ] Appropriate work is shown, but one conceptual error and one computational error are made.

or

[ 1 ] 150, but no work or only one trial with an appropriate check is shown.

[ 0 ] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure.