1001 Algebra Problems.PDF

...

SECTION A n algebraic expression involving a term raised to a fractional exponent is a radical expression.The arithmetic of such ...

Set 36 (Answers begin on page 217) The definition of fractional powers and the simplifica- tion of expressions involving radical ...

RADICAL EXPRESSIONS AND QUADRATIC EQUATIONS– 572.Simplify: 32 a.^956  b.^18  c. 8 d. 64 573.Simplify: 287 – a.– 1136 ...

582.Simplify: a. b.ab c.ab d.abab e.a^2 b^2 583.Simplify:(4g^2 )^3 (g^4 ) a. 8 g^3 b. 8 g^4 c. 8 g^5 d. 8 g^10 e. 8 g^12 ...

RADICAL EXPRESSIONS AND QUADRATIC EQUATIONS– Set 38 (Answers begin on page 218) This problem set focuses on the arithmetic of ...

606.Simplify: ( 3 +  7 )(2 3 – 5 7 ) a.–29 – 3 21  b.–29 + 3 21  c.29 – 3 21  d.–29 – 3 21  607.Simplify: a. b.– ...

RADICAL EXPRESSIONS AND QUADRATIC EQUATIONS– 617.Solve: 3 x+ 4+ x= 8 a.4 and 15 b. 15 c.–4 and 15 d. 4 618.Solve: (x– 1)^2 + ...

629.Solve using the quadratic formula: x^2 + 4x+ 4 = 0 a. 2 b. 2 i c. 2 d.–2i 630.Solve using the quadratic formula: x^2 + 5x– 6 ...

RADICAL EXPRESSIONS AND QUADRATIC EQUATIONS– 639.Solve using the quadratic formula: ^16 x^2 – ^53 x+1 = 0 a.–5 19  b. 5 ...

RADICAL EXPRESSIONS AND QUADRATIC EQUATIONS– 649.Find the real solutions of the following equa- tion, if they exist: 4x^2 = 20 ...

RADICAL EXPRESSIONS AND QUADRATIC EQUATIONS– 660.Solve: 16b^4 – 1 = 0 a. i  21 , ^12  b. i^12 ,^12  c. i^12 ...

670.Solve: (r– ^3 r)^2 – (r– ^3 r) – 6 = 0 a.–3, 1, b.–1, 3, c.–3, 1, d.–3, 1, 671.Solve: 6x– 13^4 x+ 6  0 a.–^1861 , ...

SECTION T he first functions to which you are typically exposed are those described by sets of ordered pairs that can be visuali ...

ELEMENTARY FUNCTIONS– Set 43 (Answers begin on page 231) The problems in this set focus on the notions of domain and range and ...

ELEMENTARY FUNCTIONS– 676.What is the range of the function f(x) = x^2 – 4? a.the set of all real numbers excluding 0 b.the se ...

For questions 681–684, refer to the graphs of the fol- lowing fourth-degree polynomial function y= p(x). 681.The zeros ofp(x) ar ...

ELEMENTARY FUNCTIONS– For questions 689–693, use the following diagrams: 689.Which of the coordinate planes shows the graph of ...

ELEMENTARY FUNCTIONS– 690.Which of the coordinate planes shows the graph of a function that has a range that con- tains negati ...

ELEMENTARY FUNCTIONS– 701.(f ̊g)(0) = a.^12  b.–1 c. 2 d.undefined 702.(f(f(f(f(5))))) = a. 0 b.–1 c. 3 d.undefined 703.Iff( ...