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Math · Elementary Algebra

Medium Elementary Algebra Drill

15 medium-difficulty ACT Math questions on Elementary Algebra. Each question is on its own page with a worked answer explanation, the underlying rule, and a quick study tip.

Medium Math Elementary Algebra

All 15 questions

  1. 1 Solving a Linear Equation If 5x + 11 = 41, what is the value of x? Medium
  2. 2 Multiplying Binomials (FOIL) Expand and simplify: (2x + 2)(2x + 4). Medium
  3. 3 Evaluating an Algebraic Expression If x = 3, what is the value of 3x^2 + 1x? Medium
  4. 4 Solving a Linear Inequality Solve for x: 4x + 1 > 20. Medium
  5. 5 Solving a Linear Equation If 3x + 7 = 22, what is the value of x? Medium
  6. 6 Multiplying Binomials (FOIL) Expand and simplify: (3x + 2)(1x + 4). Medium
  7. 7 Evaluating an Algebraic Expression If x = 3, what is the value of 2x^2 + 2x? Medium
  8. 8 Solving a Linear Inequality Solve for x: 2x + 1 > 8. Medium
  9. 9 Solving a Linear Equation If 5x + 3 = 18, what is the value of x? Medium
  10. 10 Multiplying Binomials (FOIL) Expand and simplify: (2x + 2)(2x + 4). Medium
  11. 11 Evaluating an Algebraic Expression If x = 4, what is the value of 2x^2 + 1x? Medium
  12. 12 Solving a Linear Inequality Solve for x: 3x + 1 > 6. Medium
  13. 13 Solving a Linear Equation If 5x + 7 = 32, what is the value of x? Medium
  14. 14 Multiplying Binomials (FOIL) Expand and simplify: (2x + 3)(1x + 3). Medium
  15. 15 Evaluating an Algebraic Expression If x = 2, what is the value of 2x^2 + 1x? Medium

How to use this drill

Open the questions one at a time. Read the prompt, decide on an answer before scrolling, then check the explanation. The point of a drill is not to "get the question right" — it's to internalize the rule so you can apply it cold under timed conditions on test day.

If you're missing more than a third of the questions in this set, drop down a difficulty tier and rebuild from there. If you're getting all of them quickly, jump up a tier and try a mixed drill across subtopics.

What "Medium" means here

Medium questions add a layer — multi-step calculation, two competing rules, or a mildly tempting wrong answer that requires careful reading. A student scoring around 26 composite should be solid here; this is also the sweet spot for most score-improvement work.

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