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## Math 115, Study Guide Test 1

by: Stacy Downing

33

0

3

# Math 115, Study Guide Test 1 MATH 115

Marketplace > Towson University > Mathmatics > MATH 115 > Math 115 Study Guide Test 1
Stacy Downing
Towson
GPA 3.94

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There are 32 questions in this practice test which shows you how to solve each question step by step and gives the correct solutions. For the test, your professor will choose 25 questions within th...
COURSE
Basic Math for The Sciences
PROF.
Ellen M. Johnson
TYPE
Study Guide
PAGES
3
WORDS
CONCEPTS
Math
KARMA
50 ?

## Popular in Mathmatics

This 3 page Study Guide was uploaded by Stacy Downing on Monday February 22, 2016. The Study Guide belongs to MATH 115 at Towson University taught by Ellen M. Johnson in Fall 2015. Since its upload, it has received 33 views. For similar materials see Basic Math for The Sciences in Mathmatics at Towson University.

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Date Created: 02/22/16
Test Practice #1 1. Math the given viewing rectangle with the correct figure: [-30,40,10] by [-50,50,10] 2. x-intercept: -2, 2 y- intercept: 8 3. 9x – (3x – 13) = 61  9x – 3x + 13 =61  6x+13 =61  6x =48  x=8 x=5+ x−9 → 15x =( ) 5+ 15x−135 →3x=75+5x−45→−2x=30→ x=−15 4. 5 3 5 3 5. When twice a number is decreased by 3, the result is 35. That is the number? 2x-3 = 35  2x = 38  x= 19 6. One number exceeds another by 10. The sum of the numbers is 76. What are the numbers? x + x + 10 = 76  x =33, 43 7. You are choosing between two health clubs. Club A offers membership for a fee of \$25 plus a monthly fee of \$25. Club B offers membership for a fee of \$29 plus a monthly fee of \$23. a. Club A: 25x + 25 b. Club B: 23x + 29 c. 23x + 29 = 25x +25  x = 2 d. Club A: 25(2) + 25 = \$75 e. Club B: 23(2) + 29 = \$75 8. A rectangular field is twice as long as its wide. The perimeter of the field is 240 yards. What are the dimension? x + x + 2x + 2x = 240  x (width)= 40 , length= 80 S=W+qm→ S−W 9. Solve for q. m 10.x – 4x – 45 = 0  (x-9)(x+5) =0  x = 9, -5 11.(x-8) = 1 x – 16x + 64 = 1 x – 16x + 63 = 0  (x-9)(x-7) = 0  x = 9,7 2 x +2 x=63→x +2 2 +2x=63+1→x +2x−63=0→ x+9 x−7(=0→)(−9,7) 12. (2 2 2 x= 11± √1 −4(2)(−1) →x= 11± √21+8 →x= 11± √29 13.2x -11x-1=0  2(2) 4 4 2 2 2 2 2 2 6√10 14.a + b = c  6 + 18 = c  c = 15.(4,2)(4,4)(8,2)(8,4) = NOT A FUNCTION a. Domain: {4,8} b. Range: {2,4} 2 16.f(x) = x – 6x + 3 a. f(8) = 19 b. f(x+6) = x +6x +3 c. f(-x) = x + 6x +3 2 f(x)= 5x −1 17. x2 a. f(2) = 19/4 b. f(-2) = 19/4 2 f−x )= 5x −1 c. x2 18. x intercept: 0,4 Range: [-1, ∞) Domain: (-∞, ∞) y-intercept: 0 19. increasing: (-∞, 0) , (1,2) decreasing: (0,1) U (2,8) The function is never constant 20. The number at which f has relative max is -3 The relative max/maxima is 4 The number at which f has a relative min is -4, -2 The relative min/minima is 0 21. Domain: (-∞, ∞) Range: [-4, ∞) x-intercept: 3, 7 y-intercept: 21 increasing: (5,∞) decreasing: (0,5) constant: (-∞, 0) relative min: 5 relative min of f: -4 x- value at f(x) = -3: x= 6 neither odd or even function 22.x+5 if x ≥ -5 -(x+5) if x < 5 g(0) = 5 g(-7) = 2 g(2) = 7 23.(1,1) and (-1,5) m = -2 ; the line falls from left to right 24.Slope = -2 passing (-7,-3) a. y+3=-2(x+7) b. y=-2x-17 25.slope = -2/3 (5,-1) a. y+1= -2/3(x-5) b. y= -2/3x + 7/3 26.Passing through (-4,14) and (1,-1) a. M = -3 b. y+1=-3(x-1) c. y=-3x+2 27.6x-3y-9=0  y=2x-3 28.2x+3y+6=0y=-2/3x-2 29.y=-4x+4 (-2,-5) parallel a. y+5=-4(x+2) b. y=-4x-13 30.y=1/5x+4 (3,-3) perpendicular a. y+3=-5(x-3) b. y=-5x+12 31.(7,-7) x-9y-4=0 perpendicular a. y+7=-9(x-7) b. 0=-9x-y+56 32.In 2000, 46% of the residents in a large city regularly used newspapers for getting news and this has decreased of an average rate of 1.7% per year since then. P(x) = -1.7x + 46

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