Algebraic expressions practice
Evaluate expressions using two distinct variable values. Select sums, grouped multiplication and exact-division forms with whole numbers or integers, plus an explained answer key.
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Match each letter with its given value, substitute both values, and follow the order of operations. Each question supplies its own bindings.
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Choose whole-number or signed integer values for the variables. A whole-number input does not make every coefficient or final answer positive: the expression can still contain subtraction and signed terms. Each question prints its own bindings.
In division questions, a variable can appear in the numerator or denominator. Substitute into that exact position and keep the sign of a negative divisor. Inputs are chosen so denominators are nonzero and quotients are integers; some numerator inputs therefore exceed 9. The key shows substitution before calculation.
Learning objective
Track two independent bindings and substitute each into the correct places in an expression.
Worked example
24/(−4) − 3(−2) = −6 − (−6) = 0.
Use 24 for the numerator x and −2 for y. The divisor stays −4, so the quotient is −6. Subtracting the second term, also −6, gives zero.
Teaching notes
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Whole-number inputs are positive; integer inputs use both signs. Division can place the variable above or below the fraction bar. Some inputs are larger so each quotient stays exact.
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