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Algebra 2 practice
Multiplying and dividing rational expressions · 1–6
Multiply or divide. Simplify, and state the excluded values.
1.x2 + 2x − 8x2 − 2x − 8 ÷ x + 4x − 4
2.x2 + xx2 − 10x + 24 ÷ x + 1x − 4
3.x2 + 7x + 10x2 + x − 6 ÷ x + 2x + 3
4.x2 − 2x − 15x2 − x ÷ x − 5x − 1
5.x2 + 2xx2 − 5x + 6 ÷ xx − 3
6.x2 − 4x2 − x ÷ x − 2x − 1
Adding and subtracting rational expressions · 7–12
Add or subtract. Simplify, and state the excluded values.
Answer key — Algebra 2 practice
Multiplying and dividing rational expressions
1.x − 2x + 2; x ≠ −4, −2, 4
3.x + 5x − 2; x ≠ −3, −2, 2
5.x + 2x − 2; x ≠ 0, 2, 3
Adding and subtracting rational expressions
7.−8x + 3(x + 4)(x − 3); x ≠ −4, 3
8.−7x + 36(x − 3)(x − 6); x ≠ 3, 6
9.−x + 23(x + 1)(x − 3); x ≠ −1, 3
10.4x − 27(x − 3)(x + 2); x ≠ −2, 3
11.2x + 30(x + 6)(x − 3); x ≠ −6, 3
12.x + 41(x + 5)(x − 1); x ≠ −5, 1
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