Algebra 1 Comprehensive Diagnostic Benchmark Exam High School Math Test (preview: 3 of 8 pages) · 3 pages
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Algebra 1 Diagnostic Exam
Benchmark Assessment
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NAME: DATE:
Domain 1: Linear Equations & Inequalities
Section 1: Equations and Inequalities
Solve each multi-step equation or inequality. Record your final answers clearly.
1. Solve for x: 4(2x - 3) = 3(x + 6) - 4
A) x = 5.2B) x = 6C) x = 4D) x = 2
2. Solve the literal equation for the variable h: V = (1/3) * pi * r^2 * h
3. Solving the inequality -3x + 8 < 26 yields the solution x > ____.
4. The equation 5(2x - 1) = 10x - 5 has infinitely many real solutions.
TrueFalse
5. Match each inequality with its corresponding solution set:
2x - 7 >= 5••x < -3
-4x > 12••x <= 12
x / 3 + 2 <= 6••x >= 6
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NAME: DATE:
Domain 2: Linear Functions & Systems
Section 2: Slopes, Intercepts, and Systems
Demonstrate understanding of linear rates of change, forms of lines, and simultaneous systems.
1. What is the slope of a line perpendicular to 3x - 4y = 12?
A) -4/3B) 3/4C) 4/3D) -3/4
2. Determine the x-intercept and y-intercept of the line 5x - 2y = 20 as ordered pairs.
3. In the system 2x + y = 11 and x - y = 1, the value of x is ____.
4. A system of two parallel linear equations with different intercepts has exactly one solution.
TrueFalse
5. Match the linear form with its standard algebraic representation:
Slope-Intercept Form••y - y1 = m(x - x1)
Point-Slope Form••Ax + By = C
Standard Form••y = mx + b
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