Common misconceptions
- Sign mistakes while isolating variables
- Distribution errors in multi-step equations
- Confusing factoring with solving
- Mixing function notation and equation form
- Weak interpretation of system intersections
Generate an Algebra 1 test, practice test or unit assessment as a printable PDF with worked answers. Built for real grading workflows, not generic question lists.
Covers linear equations, functions and systems of equations, aligned to Common Core Algebra 1 standards, with a balanced 5 easy · 3 medium · 2 hard structure. Use it for chapter checks, benchmark prep, retakes and intervention.
Generate Algebra 1 test PDF →Ten questions across linear equations, functions and systems, each tagged with its Common Core standard.
Solve: 7x − 9 = 33
Solve: 5(x − 2) = 3x + 8
Solve the inequality: −3x + 4 > 16
f(x) = 3x − 7. Find f(−2).
Find the slope of the line through (2, 5) and (6, 17).
Write the equation of the line with slope −2 that passes through (1, 4).
Solve by substitution: y = 2x − 1 and 3x + y = 14
Solve by elimination: x + y = 10 and x − y = 4
Adult tickets cost $8 and student tickets cost $5. A school sold 120 tickets for $750. How many of each were sold?
A phone plan costs $25 a month plus $0.10 per text. Write the cost function C(t) and find how many texts give a $40 bill.
1. x = 6
Add 9 to both sides: 7x = 42. Divide by 7: x = 6.
2. x = 9
Distribute: 5x − 10 = 3x + 8. Subtract 3x and add 10: 2x = 18, so x = 9.
3. x < −4
Subtract 4: −3x > 12. Divide by −3 and reverse the inequality sign: x < −4.
4. f(−2) = −13
Substitute x = −2: 3(−2) − 7 = −6 − 7 = −13.
5. m = 3
m = (17 − 5) ÷ (6 − 2) = 12 ÷ 4 = 3.
6. y = −2x + 6
Point-slope form: y − 4 = −2(x − 1). Simplify: y = −2x + 2 + 4 = −2x + 6.
7. x = 3, y = 5
Substitute: 3x + (2x − 1) = 14, so 5x = 15 and x = 3. Then y = 2(3) − 1 = 5.
8. x = 7, y = 3
Add the equations: 2x = 14, so x = 7. Then 7 + y = 10, so y = 3.
9. 50 adult, 70 student
a + s = 120 and 8a + 5s = 750. Substitute s = 120 − a: 8a + 600 − 5a = 750, so 3a = 150, a = 50 and s = 70.
10. C(t) = 25 + 0.10t; t = 150
Set C(t) = 40: 25 + 0.10t = 40, so 0.10t = 15 and t = 150 texts.
| Standard | What it assesses | Questions |
|---|---|---|
| A-REI.B.3 | Solve linear equations and inequalities in one variable | 1, 2, 3 |
| F-IF.A.2 | Use function notation and evaluate functions | 4 |
| F-IF.B.6 | Calculate and interpret a rate of change (slope) | 5 |
| F-LE.A.2 | Construct a linear function from a description or two points | 6 |
| F-BF.A.1 | Write a function that describes a relationship between two quantities | 10 |
| A-REI.C.6 | Solve systems of linear equations | 7, 8 |
| A-CED.A.3 | Represent constraints with a system of equations | 9 |
Form B tests the same standard at the same difficulty with different numbers and contexts, so retakes and make-up tests stay fair without repeating Form A answers.
| Skill | Form A | Form B |
|---|---|---|
| Two-step linear equation · EasyA-REI.B.3 | 7x − 9 = 33Answer: x = 6 | 6x − 5 = 37Answer: x = 7 |
| Inequality with a negative coefficient · EasyA-REI.B.3 | −3x + 4 > 16Answer: x < −4 | −4x + 3 > 23Answer: x < −5 |
| Line from slope and a point · MediumF-LE.A.2 | Slope −2 through (1, 4)Answer: y = −2x + 6 | Slope 3 through (2, 1)Answer: y = 3x − 5 |
| System by substitution · MediumA-REI.C.6 | y = 2x − 1 and 3x + y = 14Answer: x = 3, y = 5 | y = 3x + 2 and 2x + y = 17Answer: x = 3, y = 11 |
| Modeling with a system · HardA-CED.A.3 | $8 adult, $5 student; 120 tickets for $750Answer: 50 adult, 70 student | $9 adult, $4 child; 100 tickets for $700Answer: 60 adult, 40 child |
Algebra 1 content is broadly shared across states, but course names, standards codes and end-of-course exams differ. Start from your state’s course page to match its vocabulary and question style.
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An Algebra 1 teacher building a unit test on systems of equations
Systems of equations, 10 questions, balanced difficulty.
Fresh questions with proper notation and a 5 · 3 · 2 split.
Each solution shows the steps students are expected to use.
Print-ready test plus answer key — no formatting cleanup.
Result: A classroom-ready Algebra 1 unit test with a full answer key, built in minutes.
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A useful assessment should make the learning target clear, cover the intended skills, and give the teacher enough information to review the result before students see it. The workflow supports short quizzes, chapter checks, diagnostic tests, homework packets, make-up assessments, and equivalent retake versions.
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