One-Step Equations
The function f(x)-7.5+5 represents the amount Jade earns mowing lawns for x hours. How much does Jade's earnings increase each hour?
$7.50
SOLVE FOR X & Y
2X+Y+ = 8
X=2, Y=4
A man said, “Each of my sons has as many brothers as sisters and each of my daughters has twice as many brothers as sisters”. How many sons and daughters does the man have?
Solution: Let the man have x boys and y girls, then as per the question
the man has 2 sons and 3 daughters.
2x+22=x+1
X=-21
2x - 10 = 10 - 3x
x = 4
The formula for the volume v of a rectangular bathtub is v-l wh, where l represents the length, w represents the width, and h represents the height. Rearrange the quantities in this formula to give a new formula for the width of the bathtub.
w-v/lh
2y+7 = 15
2y= 8
Dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, Jake. While playing, Jake lost 2 marbles and had only 7 marbles at present. Find how many marbles did Dalia buy in all.
Dalia bought 45 marbles
x + 9 = 18 - 2x
x=3
-10x - 19 = 19 - 8x
x = -19
The population of a country is modeled by the function f(x)-250(1+0.006)*. What type of change does this function represent?
Exponential growth
2g–4=6
g=5
A bus departed from New York at 11pm with 44 passengers. An hour later, a few passengers got off at New Jersey. The number of passengers who boarded the bus at New Jersey were twice the number of passengers who got off the bus. If the bus has 50 passengers, how many passengers got off at New Jersey?
x=3
2x + 6 = 4x - 2
x=4
c–20=4–3c
c=6
Suppose it takes you 12 minutes to walk from home to school at a rate of 260ft/min. Your friend lives closer to school than you do. Which inequality represents the distance d, in feet, that your friend lives from the school?
d<3,120
2(3x-1) + 5 = 11
x = 4/3
A garden hose can fill a swimming pool in 8 hours. However, due to a leak, it takes 10 hours to fill the pool. How long would it take for the leak to empty the full pool if the hose is left on?
40 Hours
-x - 1 = 221 + 2x
x = -74
–4(–3n–8)=10n+20
n=-6
The number of books Julio has read this year, divided by 4, is less than 20. What is an equation that represents this situation, and how many books has Julio read?
A. b/4=20-4;b=64 books
B. 4b=20-4;b=4 books
C. 4b=24;b=6 books
D. b/4=24;b= 96 books
b/4=20-4;b=64 books
2/3(4x+5)-7 = 1
x=7/4
A man bought 4 cows and 9 hens for $13400. If he sells the cows at 10% profit and hens at 20% profit, then he earns a total profit of $1880. What is the cost of a cow and a hen?
Solution: Let x be the cost of one cow and y be the cost of a hen.
the man bought a cow at $2000 and a hen at $600.
17x - 12 = 114 + 3x
x=9
3/4m-2(m-1)=1/4m+5
m=-2