Math A Component Retest

April 2004

Component 4, Module 1

Key to Multiple-Choice Questions

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

Rubrics

(7)

[ 4 ] 188 children and 80 adults, and appropriate work is shown, such as
10(268 – x) + 7.5x = 2210 or trial and error with at least three trials and appropriate checks.

[ 3 ] 188 and 80, and appropriate work is shown, but neither answer is labeled or the labels are incorrect.

or

[ 3 ] Either 188 children or 80 adults, and appropriate work is shown.

or

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

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

or

[ 2 ] An incorrect equation 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 ] Variables are identified and a correct equation is written, but no further correct work is shown.

or

[ 1 ] 188 children and 80 adults, but no work or only one trial with an appropriate check is shown.

or

[ 1 ] An incorrect equation of lesser difficulty is solved appropriately.

[ 0 ] 188 children or 80 adults, but no work or only one trial with an appropriate check is shown.

or

[ 0 ] 188 and 80, but no work is shown and the answers are not labeled.

or

[ 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 ] Nick = 36 and daughter = 14, and appropriate work is shown, such as
x + 8 = 2(50 – x + 8) or x + 8 = 2(y + 8) and x + y = 50, 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 ] 36 and 14, and appropriate work is shown, but the answers are not labeled or are labeled incorrectly.

or

[ 3 ] A correct equation is written and solved, but the current ages are not found.

or

[ 3 ] A correct system of equations is written, but only one age is found.

[ 2 ] A correct equation or system of equations is written, but two or more computational errors are made.

or

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

or

[ 2 ] A correct equation or system of equations is written, but it is not solved.

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 with appropriate checks are shown, but no solution is found.

[ 1 ] An incorrect equation of lesser difficulty, such as 2x + x = 50, is solved appropriately.

or

[ 1 ] Nick = 36 and daughter = 14, but no work or only one trial with an appropriate check is shown.

[ 0 ] Nick = 36 or daughter = 14, but no work or only one trial with an appropriate check is shown.

or

[ 0 ] 36 and 14, but no work is shown and the answers are not labeled.

or

[ 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 ] 126, and appropriate work is shown, such as 12x + 500 < 16x or trial and error with at least three trials and appropriate checks.

[ 3 ] The correct inequality is written and appropriate work is shown, but the answer is stated as 125.

or

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

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

or

[ 2 ] An incorrect inequality 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.

or

[ 2 ] Appropriate work is shown, but one conceptual error is made, such as solving an equation that results in x = 125.

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

or

[ 1 ] A correct inequality is written, but no further correct work is shown.

or

[ 1 ] 126, 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.