Literal Equations
P = a + b + c + d
Solve for c
c = P - a - b - d
3x - 5 = 16
Solve for x
x = 7
Write an equation for "two more than six times a number is equal to four times the sum of seven and eight"
6x + 2 = 4(7 +8)
d + 12 > -8
Solve for d
d > -20
(-2/3)c < 4/9
c > -(2/3)
D = 1/6(pq)
Solve for q
q = (6D)/p
4x - 6 = -3x + 8
x = 2
The cost for laser tag (L) is seven dollars more than the cost for bumper cars (b).
Write an equation relating the cost of laser tag to the cost of bumper cars.
L = b + 7
OR
L - b = 7
15(x - 6) - 9x <= -4
x <= 43/3
(4 + 5g)/2 >= 17
g >= 6
S = 4Lw + 2wh
Solve for L
L = (S - 2wh) / (4w)
1/2x - 8 = 1/4 x - 6
x = 8
Ken went to the store and bought 2 video games (v) and 7 bags of chips (c). He spent $80 in total.
Write an equation that could be used to find the cost of each item.
2v + 7c = 80
(-2/3)h + 2 >= 10
h >= -12
10 - q/3 <= q - 6
q >= 12
A = 1/2*h*(B + b)
If B = 10, b = 5 and A = 90, solve for h.
h = 12
-3x - 6 = -8x + 4
x = 2
Jim is 3 years older than twice the age of Pam.
Write an equation relating the two ages to each other
J + 3 = 2P
-2(x - 4) -3x < -(4x + 1) + 2x
x > 3
4(n - 5) <= 1 + 8n - 2
n >= -19/4
A = P + PRT
Solve for R
R = (A - P) / (PT)
What process was used to obtain the equation shown in step 2?
Step 1:
1/3x - 7 = 1/6x + 4
Steph 2:
2x - 42 = x + 24
Multiplied both sides of the equation by 6
Antonio has d dimes and n nickels. He has $20 total.
Write an equation to relate the number of each coin he has to his total money.
0.10d + 0.05n = 20
0.25(x + 4) > (1/5)(2x + 3)
x < 8/3
4x + 8 > 11 + 3(2x - 3)
x < 3