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Math Exam 1 Review

"Percent of" Word Problems
 
What percent of 20 is 30?

 

30 = (x)(20)
30 ÷ 20 = x = 1.5
So Thirty is 150% of 20
   
What is 35% of 80?

 

x = (0.35)(80)
x = 28
Twenty-eight is 35% of 80.
   
45% of what is 9?

 

9 = (0.45)(x)
9 ÷ 0.45 = x = 20
Nine is 45% of 20.
A computer software retailer used a markup rate
of 40%. Find the selling price of a computer game
that cost the retailer $25.


The markup is 40% of the $25 cost, so the markup is:
(0.40)(25) = 10

Then the selling price, being the cost plus markup, is:
25 + 10 = 35

The item sold for $35.
Word Problem: Age

In three more years, Miguel's grandfather will be
six times as old as Miguel was last year. When
Miguel's present age is added to his grandfather 's
present age, the total is 68. How old is each one
now?

A square has an area of sixteen square
centimeters. What is the length of each of its
sides?
Word Problem: Coin

A collection of 33 coins, consisting of nickels,
dimes, and quarters, has a value of $3.30. If there
are three times as many nickels as quarters, and
one-half as many dimes as nickels, how many coins
of each kind are there?

Word Problem: Distance

A 555-mile, 5-hour plane trip was flown at two
speeds. For the first part of the trip, the average
speed was 105 mph. Then the tailwind picked up,
and the remainder of the trip was flown at an
average speed of 115 mph. For how long did the
plane fly at each speed?

Word Problem: Mixture

John has 20 ounces of a 20% of salt solution , How
much salt should he add to make it a 25%
solution?

John has 20 ounces of a 20% of salt solution, How
much salt should he add to make it a 25%
solution?
Word Problem: Money

A wallet contains the same number of pennies ,
nickels, and dimes. The coins total $1.44. How
many of each type of coin does the wallet contain?

Word Problem: Average Speed

John drove for 3 hours at a rate of 50 miles per
hour and for 2 hours at 60 miles per hour. What
was his average speed for the whole journey?

Solving Linear Equations

Solve 7x + 2 = –54

Solve 5 + 4x – 7 = 4x – 2 – x

Graph

Graph 4x – 3y = 12

Graph x = 4

Graph y = 0

Slope- Intercept Form

Find the equation of the straight line that has
slope m = 4 and passes through the point (–1, –6).

Find the equation of the line that passes through
the points (–2, 4) and (1, 2).
Find the equation of the straight line that has
slope m = 4 and passes through the point (–1, –6).
Solving Linear Inequalities
Solve x + 3 < 0, give interval notation, and graph
Solve 10 ≤ 3x + 4 ≤ 19
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