High School Mathematics Sample Items by Reporting Achievement Level
A student scoring at the indicated level is likely to answer this item correctly.
Level 1 Sample Item
Enter the value for x that makes the given equation true.
25 = x –16
Description: The student can solve a one-step linear equation in one variable.
The correct answer is 41.
Level 2 Sample Item
Which inequality represents all possible solutions of –6n < –12?
- n < 72
- n > 2
- n < 2
- n > 72
Description: The student can identify the solution to a one-step linear inequality in one variable.
The correct answer is B.
Level 3 Sample Item
Enter the value for x that makes the given equation true.
14x – 3(2x – 2) = 13 – 6x
Description: The student can solve a multi-step linear equation in one variable.
The correct answer is 0.5.
Level 4 Sample Item
Which equation has no real solutions?
- x2 – 3x – 10 = 0
- 3x2 – 4x – 1 = 0
- 4x2 – 12x + 9 = 0
- 5x2 – 2x +1 = 0
Description: The student can identify a quadratic equation with complex roots.
The correct answer is D.
About These Items
Claim 1
Concepts and Procedures
Target I
Solve equations and inequalities in one variable.
Standards
HSA.REI.3: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
HSA.REI.4: Solve quadratic equations in one variable.