can you help me with algebra worksheet?

adam travel
by smulligannn

Question by dareason407: can you help me with algebra worksheet?
solve each formula for the indicated varible

2) s=L(1-r), for r
3) s=lw+wh+lh, for w

Solve for x. State any restrictions on the variables

4) 4/9(x+3)=g

Solve each eqaution

10) 1/2(x-3)+(3/2-x)=5x
11) 5w+8-12w= 16-15w
12) 7y+5=6y+11
13 1.2(x+5)=1.6(2x+5)
14) t-3(t+4/3)=2t+3
15) 0.5(c+2.8-c=0.6c+3
16) 3(x+1)= 2(x+11)
17) u/5+ u/10-u/6=1

18) mike and adam left a bus terminal at the same time and traveled in opposite directions. Mike’s bus was in heavy traffic and had to travel 20mi/h slower then Adam’s bus. After 3 hours, their buses were 270 miles apart. How fast was each bus going?

19) two trains left a station at the ame time. One traveled north at a certain speed and opther trveled south at twice the speed. After 4 hours, the trains were600 miles apart. how fast was each train traveling?

20) find four consecutive odd integers whose sum is 336

21) the length of a rectangle is 5 cm greater than its width. The perimeter is 58cm. Find the dimensions of the rectangle

Best answer:

Answer by theraymond
2. S = L(1-r)
S/L = 1-r
-r = s/L -1
r = -(S/L -1)

3. s- lh = w (l+h)
(s-lh)/(l+h) = w

4. 9/4g =x+3
9/4g -3 = x
im not sure about the restrictions cause theres nothing theoretically wrong.

10. 5.5x = 0
x = 0

11. -7w + 8 = 16 -15w
8w = 8
1=w

12. y = 6

13. 1.2x +6 = 3.2 x + 8
2x = 2
x = 1

14. (t^2 +t-12) = 6t + 9
t^2 -5t-3
this is too complicated for such easy math, its a quadratic formula too hard to solve

15-17 is mental math, just factor and dont be lazy

18. 3(x-20) + 3x = 270
6x -60 = 270
6x = 330
x = 55

19. 4(2x +x) = 600
3x = 150
x = 50 mph
2x = 100 mph

20. x+ x+2 + x+4 + x+6 = 336
4x + 12 = 336
4x = 324
x = 81, 83, 85, 87

21. x+5 + x = 58 /(2)
2x + 5= 26
2x = 21
x = 10.5
x+5 = 15.5

Add your own answer in the comments!

Comments (1)

  1. Desmond Che says:

    Hi,
    Legend: Ls – left side, Rs – right side, eqn – equation
    2) s=L(1-r), for r
    s/L = 1-r (Multiplication becomes division when L moves from Rs to Ls of eqn)
    r = 1-s/L
    3) s=lw+wh+lh, for w
    s – lh = lw + wh (Keep all those with w on one side of eqn)
    s-1h = w (l +h)
    w = (s-1h)/(1+h) (Bring w to Ls of eqn to make it the subject)

    Solve for x. State any restrictions on the variables

    4) 4/9(x+3)=g
    x +3 = (9/4)g (fraction is inverted when brought to Rs)
    x = (9/4)g -3

    Solve each eqaution

    10) 1/2(x-3)+(3/2-x)=5x
    (1/2)x -3/2 + 3/2 – x = 5x
    (1/2)x -x-5x = 0
    (-5 1/2)x = 0
    x =0
    11) 5w+8-12w= 16-15w
    5w-12w+15w = 16-8 (bring all those with w to Ls)
    8w = 8
    w = 8/8
    =1
    12) 7y+5=6y+11
    7y-6y = 11-5
    y = 6
    13 1.2(x+5)=1.6(2x+5)
    1.2x + 6 = 3.2x +8
    6 – 8 = 3.2x-1.2x
    -2 = 2x
    x = -2/2 (Switch sides, bring x to Ls)
    = -1
    14) t-3(t+4/3)=2t+3
    t – 3t – 4 = 2t + 3
    t – 3t -2t = 4 + 3
    -4t = 7
    t = -7/4
    = – 1 3/4
    15) 0.5(c+2.8-c=0.6c+3 (can’t solve as it is unclear where the bracket ends)

    16) 3(x+1)= 2(x+11)
    3x + 3 = 2x + 22
    3x-2x = 22-3
    x = 19
    17) u/5+ u/10-u/6=1
    (6u + 3u -5u)/30 = 1 (Make all of them have the same denominator)
    4u/30 = 1
    u = 30/4
    =7 2/4
    = 7 1/2