Variables, Terms, and Expressions
Practice identifying variables, coefficients, like terms, and how to evaluate expressions.
Keyboard Shortcuts
💡 Pro tip: Use keyboard shortcuts for faster studying!
Study Smart Tips for Variables, Terms, and Expressions
Master these concepts using proven study techniques that actually work:
Active Recall
Test yourself before flipping each card to strengthen memory retention
Spaced Repetition
Review difficult cards more frequently than easy ones
Multiple Sessions
Break study time into shorter, focused sessions
Explain Aloud
Verbalize answers to reinforce understanding
Questions Covered in This Set
10 cards to master
What is a variable?
A letter representing a number that can change or is unknown (x, y, n, t).
What is a constant?
A plain number whose value never changes, like 7, -3, 1/2, or π.
How do you split an expression into terms?
Chop it at the + and − signs, carrying each sign with its term. In 5x² − 3x + 8 the terms are 5x², −3x, and +8.
Expression vs. equation?
An expression has no equals sign and is simplified or evaluated; an equation has an equals sign and is solved.
What is the coefficient of x? Of −y? Of x/4?
1, −1, and 1/4 (dividing by 4 = multiplying by one-fourth).
When are two terms 'like terms'?
When they have exactly the same variables raised to exactly the same powers; only coefficients may differ.
Are 3ab and −8ba like terms?
Yes — order of multiplication doesn't matter, so they combine to −5ab.
Evaluate 2x² − 5x + 1 at x = −3.
2(9) + 15 + 1 = 34. Always substitute with parentheses to avoid sign errors.
Simplify 2(x + 5) + 3x.
Distribute: 2x + 10 + 3x = 5x + 10.
A gym charges $40 signup plus $25 per month. Expression for m months?
40 + 25m — 25 is the rate (multiplies the variable), 40 is the one-time constant.
