one step word problems
Randy went to the fair with 2 of his friends. Each ticket is 6 dollars. They got 3 popcorn buckets. There total was $45. Write the expression
18 + 3x = 45
The floor of a canyon has an elevation of -14.5 feet. Erosion causes the the elevation to change by -1.5 feet per year. How many years will it take for the canyon floor to have an elevation of -31 feet?
11 years
Terms that have the same variables raised to the same exponents.
2x + 5 = 15
x = 5
a/12 - 5/12 = 1/12
A = 2
Mr. Wayde need supplies for his classroom. He buys 3 packs of crayons that cost 3 dollars. He buys 6 packs of pencils. The total is $39, How much were the pack of pencils?
$5
32 - 4 = 4x
7 minutes per quarter
Simplest form
When the equation has no like terms
6y + 10 = 40
y = 5
-1/9 + 3z = -5/9
z = 4/27
A taxi service charges an initial fee $37 plus $1.80 per mile. How far can you travel for $12?. How many miles can you travel?
50 miles
During a drought, the water level of a lake changes -4 feet per day.how long it takes for the water to change -32 feet. Then 8 feet was added. What is the level of water now?
It took 8 days and the final level is -24
Linear expression
An algebraic expression in which the exponent of the variable is one.
7e - 29 =20
e = 7
5n + 7 - n - 5 = ...
4n + 2
You want to buy the bicycle for $130. You already have $50.60 saved and plan to save an additional $7.25 every week. How many weeks does it take to buy the bike?
11 weeks
A gym charges $30 registration fee plus $ 15 per month. If Sarah has paid $125 total, How many months has she been a member? Round to the nearest whole number.
6 months
equivalent equations
Two equations that have the same solution.
12x - 30 = 20
x = 5
4(4w - 4) = -20
w = -0.25
You withdraw $20.51 from your bank account. Now your balance is $-15.79. Write and solve an equation to find the amount of money in your bank account before you withdrew the money.
x - 20.51 = -15.79
x = $4.72
A 30 foot plan is cut into a 5 foot piece and four equal smaller pieces. How long is each smaller pieces?
6.25 feet long
Factoring expression
When you write the expression as a product of factors.
14x + 20 = 50
x = 2.14
-3(2s - 5) + 2(5s - 5)
4s + 5