Sample Algebra Questions
Q1: Solve for x: 3x − 7 = 14
A. x = 3
B. x = 7
C. x = 9 ✓
D. x = 21
Q2: Which of the following is the correct factored form of x² − 9?
A. (x − 3)²
B. (x + 3)(x − 3) ✓
C. (x − 9)(x + 1)
D. (x + 9)(x − 1)
Q3: A line passes through (0, 4) with slope −2. What is its equation?
A. y = 2x + 4
B. y = −2x − 4
C. y = −2x + 4 ✓
D. y = 4x − 2
📖 Study Tips for Algebra
1
Always perform the same operation on both sides of an equation — isolate the variable step by step.
2
Memorize the quadratic formula (x = (−b ± √(b²−4ac)) / 2a) and learn when to use factoring vs. the formula.
3
For systems of equations, try substitution when one variable is already isolated; use elimination when coefficients are easy to match.
4
Check your answers by substituting back into the original equation — a quick habit that catches sign errors.
❓ Algebra FAQ
What is the difference between an expression and an equation?
▾
An expression is a combination of numbers, variables, and operations (e.g., 3x + 2) with no equals sign. An equation states two expressions are equal (e.g., 3x + 2 = 11) and can be solved.
When should I use the quadratic formula vs. factoring?
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Factor when the quadratic factors neatly (integer roots). Use the quadratic formula when the discriminant is not a perfect square or when factoring is not obvious.
What is slope-intercept form and why does it matter?
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Slope-intercept form is y = mx + b, where m is the slope (rise/run) and b is the y-intercept. It lets you graph a line instantly and interpret its rate of change.
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