Algebraic expressions practice
Substitute a given value and evaluate expressions with one variable. Choose addition, subtraction, grouped products or exact division, with whole-number or signed integer inputs.
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Write the given value in place of every variable. Use parentheses around negative inputs, then calculate grouped operations, products and quotients before the remaining sums.
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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
Replace every occurrence of a variable with its given value and calculate in the correct order.
Worked example
30/(−5) + 2(−5) = −6 − 10 = −16.
Replace both occurrences of x with −5. In the first term it is the divisor, so 30 is divided by −5. In the second term it is multiplied by 2. Calculate both terms before adding.
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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