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Interactive homework · 17 questions in three parts — (1) classify each number by set, (2) name the property (be specific to the operation), and (3) solve each equation and check — with full step-by-step solutions.
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Medium To which sets does \(\dfrac{21}{7}\) belong? Select all that apply.
Answer: A, B, D, E, F
Medium To which sets does \(0.47913\ldots\) belong? Select all that apply.
Answer: E, F
Easy To which sets does \(-6.35\) belong? Select all that apply.
Answer: A, F
Easy To which sets does \(0\) belong? Select all that apply.
Answer: A, C, E, F
Medium To which sets does \(-\sqrt{81}\) belong? Select all that apply.
Answer: A, C, F
Medium To which sets does \(0.\overline{7}\) belong? Select all that apply.
Answer: A, B
Easy To which sets does \(-\sqrt{7}\) belong? Select all that apply.
Answer: E, F
Easy Name the property illustrated (be specific to the operation): \(24+(7+3)=(24+7)+3\)
Answer: A — Associative Property of Addition
Easy Name the property illustrated (be specific to the operation): \(9\cdot 1=9\)
Answer: B — Multiplicative Identity
Medium Name the property illustrated (be specific to the operation): \(20+5x=(4+x)5\)
Answer: C — Distributive Property
Medium Name the property illustrated (be specific to the operation): \(\dfrac{3}{8}\cdot\dfrac{8}{3}=1\)
Answer: A — Multiplicative Inverse
Medium Name the property illustrated (be specific to the operation): \(\dfrac{5}{6}+\left(-\dfrac{5}{6}\right)=0\)
Answer: A — Additive Inverse
Easy Name the property illustrated (be specific to the operation): \(7\cdot 11=11\cdot 7\)
Answer: A — Commutative Property of Multiplication
Medium Solve, showing all work and checking: \(3(2x-4)=5+6x\)
Answer: No solution
Medium Solve, showing all work and checking: \(7x+4+5x=9x-14\)
Answer: \(x=-6\)
Easy Solve, showing all work and checking: \(\dfrac{11+x}{4}=4\)
Answer: \(x=5\)
Hard Solve, showing all work and checking: \(13-(3x+1)=2(6-4x)+5x\)
Answer: Dll real numbers (infinitely many)