Quiz 2 - Sandage - the equation The sum of three...

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QUIZ 2 1. Solve. (-2/5) 5 3 x 2 5 - = - (-2/5) = 6/25 x = 6/25 2. Solve. y 6 12 9 y - = - = 6y + y – 9 12 – 6y + 6y 7y – 9 = 12 7y – 9 + 9 =12 +9 7y = 21 7y/7 = 21/7 y = 3 3. Solve by first eliminating the fractions. 2 1 x 2 x 13 - = - 2/1(13 – x/2) = (x – ½) 2/1 26 – x = 2x – 1 1+26 – x = 2x – 1+1 27 – x = 2x 27 = 3x x = 9 +x +x 3 3 4. Solve by first eliminating the decimal numbers. 4 . 12 x 2 . 0 4 . 3 x 5 . 0 + = + 10 (0.5x + 3.4) = 10 (0.2x + 12.4) 5x + 34 = 2x + 124 3x + 34 = 124 3x = 90 x = 30 - 2x - 2x - 34 - 34 3 3 5. Solve for x . b 5 c x 4 x c 2 - + = - 1c – x = 4x – 5b 1c = 5x – 5b -c - c +x +x 6. Translate the verbal expression into an algebraic expression. Eight percent of a number .08x 7. Identify the variables and write an equation that describes the situation.
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Unformatted text preview: the equation. The sum of three consecutive odd integers is 39. (x) + (x + 2) + (x + 4) = 39 8. Determine if x=1 satisfies the inequality 3 x 4 x 5 +-. 5 – 1 > 4(1) + 3 4 > 4 + 3 4 > 7 NO, four is not greater than seven. 9. Solve the compound inequality and write the solution set using interval notation (see page 6 of the text). 8 2 x 3 2 < + ≤ 2 < 3x + 2 < 8 = < 3x < 6 = 0 < x < 2-2 - 2 -2 3 3 3 10. Solve the compound inequality. State the solution set in interval notation and sketch its graph. 3 2 x 4 3--≥ 3(2) > (4 – x ) 2 > -3 (2) = 6 > 4 – x > -6 2 1 -4 -4 -4 (-1)2 >-x > -10(-1) = -2 < x < 10 = [-2, 10) [-2—0—2—4—6—8—10)...
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