Algebra Word Problems and Solving

Amber's savings account had a balance of $350 rolled over from the previous year. She set it up for $50 to be drafted out of her checking account and into her savings account every month. What information in this problem represents the y-intercept?

• 350
• 50
• -50
• -350

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  If Will spent $26, write and solve a linear equation to find how many songs he downloaded.

• 32 songs
• 33 songs
• 19 songs
• 36 songs

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog.  Last week, the store made $60 from washing cats and dogs.  If 6 cats were washed, write and solve a linear equation to find how many dogs were washed.

• 2 dogs
• 3 dogs
• 4 dogs
• not enough information

• the slope is 15 because she adds it everyday
• the slope is 500 because that's what she needs to get to
• the slope is 0 because she has started with 0 minutes read
• this problem doesn't have a constant slope

• the slope is 11/1 because she adds 11 minutes for each mile (the x axis will be time)

• slope is 1/11 because she adds 1 mile for every 11 minutes (the x axis will be time)

• the slope is 7.46 because that is the total

• there's no slope because you're not adding over and over again

If the value of real estate increases at a rate of 5% per year, after t years the value V of a house purchased for P dollars is V=P(1.05)^t. Approximate the value of a house purchased for $80,000 in 1986, to the nearest $1000, in the year 2010.

• $125,000
• $258,000
• $56,000
• $300,000

The 1985 population estimate for India was 762 million, and the population has been growing continuously at a rate of about 2.2% per year. Assuming that this rapid growth rate continues, estimate the population of India in the year 2018.

• about 803 million
• about 1.6 billion
• about 975 million
• about 2 billion

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine? 

• 19 to 20 hours
• 10 to 20 hours
• 15 to 16 hours
• 5 to 6 hours

A lizard is jumping across the water in search of food. The equation h = -12t² + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?

• 0.1 seconds

• 0.25 seconds

• 0.50 seconds

• 0.75 seconds

• 1 second

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Alain threw it, is modeled by:

h(x)= -5x² + 10x + 15

How many seconds after being thrown will the stone hit the water?

• -1 seconds
• 1 second
• 2 seconds
• 3 seconds