Writing & Interpreting Equations
Five added to six times a number is the same as the quotient of 32 and the number.
6n+5=32/n
Solve both equations:
h−12=5
z+4=22
h=17
z=18
Solve the equation:
6v–4=–3v+59
v=7
Solve the equation:
|x+3|=2
x= -5, -1
Solve the proportion:
7/15=42/n
n=90
The product of six and the sum of a number and nine equals two times the number subtracted from four.
6(x+9)=4-2x
Solve both equations:
36+x=63
−5d=65
x=27
d=-13
Solve the equation:
−t+7=3t+15
t=-2
Solve the equation:
|d−4|=−2
no solution
Solve the proportion. Round your answer to the nearest hundredth.
(5d+1)/7=(6d-5)/15
d=-1.52
Write a sentence that represents the following equaiton: x2−9=16
x squared minus 9 equals 16
x squared minus 9 is 16
9 less than x squared is 16
Solve both equations:
43−(−c)=32
6m+12=−6
c=-11
m=-3
Solve the equation:
(4x+10)/2=-3x
x=-1
|2w+5|=5
x= -5, 0
Carla traveled 320 miles in 5 hours. At this rate, how far will Carla travel in 7 hours?
448 miles
25 less than the cube of x is equal to four times the sum of y and five.
x3-25=4(y+5)
Solve both equations:
43=8z+11
x/2-12=24
z=4
x=72
Solve the equation:
6+3(y+4)=2(y+1)+11
y=-5
Solve the equation:
-4|y+3|-12=-36
y= -9, 3
Solve the equation for t:
10s+6t=rt+12s
t=(2s)/(6-r)
Anthony has saved $35 of the $140 he needs to purchase a new bicycle. He plans to save $15 each week, until he has enough money to buy the bicycle. Write an equation to find the number of weeks it will take Anthony to save enough to buy the bicycle.
15w+35=140
A photographer sells his photographs for $20 each at an art show. He spent $185 to print the photographs and made a profit of $55 at the art show. Write and solve an equation to find p, the number of photographs sold.
20p-185=55
p=12
Solve both equations to state if there is one solution, no solution, or identity. If there is one solution, state what the solution is.
5p+7=−7+5p
4(x+3)=4x+12
no solution
identity
Depending on the size of song, Kara's phone holds an average of 4000 songs, give or take 150 songs. Write and solve an equation to determine the maximum and minimum number of songs Kara's phone can hold.
|x-4000|=150
x= 3850, 4150
Sang buys hats and t-shirts for his friends while on vacation. The total cost C in dollars of buying h hats and t t-shirts is C = 10h+15t.
Solve the equation for h. Find how many hats he can buy if he buys 4 t-shirts and can spend $120.
h=(C-15t)/10
6 hats