I <3 Math
ALG 4Eva
MathLuv
Algebra Rocks
A+
100
5. 7(x+2)-7x
14
100
7. 7x - 1 = 6
x = 1
100
26. x^2 - 5x = 0
x = 0, x = 5
100
15. 3x - 2y = 12
slope = 3/2 x-intercept = (4, 0) y-intercept = (0, -6)
100
11. The formula for a Fahrenheit temperature in terms of degrees Celsius is F = (9/5)C + 32. Solve for C
C = (5/9)(F - 32)
200
6. 1/2 [(10 - g) - (8 - 5g)]
1 + 2g
200
21. (x + 4)(x^2 - 7x + 10)
x^3 - 3x^2 - 18x + 40
200
24. x^2 + 7x + 10 = 0
x = -2, x = -5
200
17. 4 + 3y = -2y - 6
slope = 0 x-intercept = none y-intercept = (0, -2)
200
13. Write an equation for the line that is parallel to 6x-2y=17 and passes through the point (4,8).
y = 3x - 4
300
20. (y + 2)(y - 1)
y^2 + y - 2
300
9. (x + 3) - (2x + 7) - 4x = -10
x = 6/5
300
27. x^2 - 5x = 6
x=6, x=-1
300
16. 3x - 3 = 6
slope = undefined x-intercept = (3, 0) y-intercept = none
300
14. Write an equation for the line that is perpendicular to 2x+3y = 7 and passes through the point (4,5)
y = (3/2) - 1
400
22. (p - 4)^2
p^2 - 8p + 16
400
8. 1/4 - q/16 = -3/4
q = 16
400
25. 2x^2 - 20x + 50 = 0
x = 5
400
29. 98x^2 = 40
x = (2 sqrt(5))/7, -(2 sqrt(5))/7
400
18. The sum of 2 numbers is 50. The first number is 43 less than twice the second number. Write a system of equations to find the two numbers. Solve the system.
x = 3.5, y = 46.5
500
19. (4x^2 - 7x + 9) - (2x^2 + 3x - 8)
2x^2 - 10x + 17
500
10. 3m / 10 = (2m - 1) / 5
m = 2
500
28. 64x^2 - 5 = 20
x = 5/8, x = - 5/8
500
12. Write an equation for the line containing the points (-2, -3) and (5, 7).
y = 10/7x - 1/7
500
23. A rectangular swimming pool is 25 feet long and 10 feet wide. It is surrounded by a fence that is x feet from each side of the pool. a) Draw a diagram. b) Write equations for the length and the width of the fenced region c) Write an equation for the area of the fenced region
l = 25 + 2x w = 10 + 2x A = (25 + 2x)(10 + 2x)
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