# Prime Number and Equation

Topics: Prime number, Quadratic equation, Expression Pages: 4 (1103 words) Published: April 16, 2013
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression for the given values of x and y. |x| |y| 1) + ; x = 2 and y = -4 x y A) 2 Simplify the algebraic expression. 2) -4(2x - 5) - 4x + 9 A) -12x + 29 Simplify the exponential expression. 3) (x3)6 A) 6x18 Rationalize the denominator. 3 4) 17 + 2 A) 51 - 2 3 13 B) 51 + 2 3 13 C) 3 51 + 17 34 3 D) 51 - 2 3 19 B) x9 C) x18 D) 6x3 B) 4x + 29 C) -12x - 11 D) 12x + 29 B) -1 C) 0 D) 1

Find the product. 5) (x - 3)(x2 + 3x + 9) A) x3 - 6x2 - 6x - 27 B) x3 + 27 C) x3 - 27 D) x3 + 6x2 + 6x - 27

Factor the trinomial, or state that the trinomial is prime. 6) 20x2 + 23x + 6 A) (20x + 3)(x + 2) B) (4x - 3)(5x - 2) C) (4x + 3)(5x + 2) D) Prime

Factor completely, or state that the polynomial is prime. 7) 28x2 y - 28y - 28x2 + 28 A) (2y - 7)(7x - 2)(7x + 2) C) (7y - 7)(2x - 2)(2x + 2) Solve the system by the addition method. 8) 3x + 7y = 40 3x + 2y = 50 A) {(-2, 18)} Solve and check the linear equation. 9) 2x - 4 + 5(x + 1) = -2x - 3 A) {- 2} B) {4 } 3 C) {4 } 9 D) {- 6} B) {(-18, 3)} C) {(-18, 7)} D) {(18, -2)} B) (28y - 28)x2 + 4(-7y + 7) D) (28x2 - 28)y + 7(4 - 4x2 )

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Solve the equation. x x 10) 27 - = 2 7 A) { 243 } 14 B) {42} C) {3} D) { 243 } 2

First, write the value(s) that make the denominator(s) zero. Then solve the equation. x-1 x+9 11) +3 = 4x x A) x ≠ 0; {34 } 3 5 B) No restrictions; { } 6 C) x ≠ 0, 4; { 37 } 9 D) x ≠ 0; { 37 } 9

Determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 12) 3(2x - 36) = 6x - 108 A) Identity Solve the problem. 13) You inherit \$70,000 from a very wealthy grandparent, with the stipulation that for the first year, the money must be invested in two stocks paying 4% and 10% annual interest, respectively. How much should be invested at each rate if the total interest earned for the year is to be \$4000? A) \$30,000...

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