Sophia MM212
Unit 2 College Algebra Milestone
19/20 that's 95%
Well done! If you keep getting Milestone scores like this you'll pass
the course.
19 questions were answered correctly.
1 question was answered incorrectly.
1
Rob paid $50.15 for two pairs of jeans, which include a 15% discount.
What was the price of one pair of jeans before the discount was
added?
$167.17
$21.80
$59.00
$29.50
RATIONALE
To calculate the price of an item before the discount was added, multiply the original
item by (1 – r), where r is the percent discount expressed as a decimal. The price of t
the discount included is $50.15 and the percent discount, r, is 15%, or 0.15 when wri
decimal. Substitute these values in the equation and solve for the original price.
Once the known values are substituted into the formula, evaluate the parentheses by
0.15 from 1.
1 minus 0.15 equals 0.85. Next, undo the multiplication on the right side by dividing
0.85.
$50.15 divided by 0.85 is $59. This is the price Rob paid for TWO pairs of jeans. Lastl
, by 2 to find the original price of one pair of jeans.
The price of one pair of jeans before the discount is $29.50.
CONCEPT
Solving Problems involving Percents
2
Find the solution for x if |7x + 5| = 19.
RATIONALE
To solve this equation, we will need to create two separate equations without absolut
One equation will contain the expression exactly as it appears within the absolute va
second equation must consider the case when the expression has the opposite value
each equation separately, starting with 7x + 5 = 19.
To solve for x, start by subtracting 5 from both sides.
On the left, we have only 7x. On the right, 19 minus 5 is 14. Then divide both sides b
The solution for the first equation is x = 2. The same process can be applied to the s
equation 7x + 5 = -19.
To solve, start by subtracting 5 from both sides.
, On the left, we have only 7x. On the right -19 minus 5 is -24. Then divide both sides
x.
The solution for second equation is
The two solutions to |7x + 5| = 19 are x = 2 and .
CONCEPT
Absolute Value Equations
3
Rationalize the denominator and simplify the following expression:
RATIONALE
Unit 2 College Algebra Milestone
19/20 that's 95%
Well done! If you keep getting Milestone scores like this you'll pass
the course.
19 questions were answered correctly.
1 question was answered incorrectly.
1
Rob paid $50.15 for two pairs of jeans, which include a 15% discount.
What was the price of one pair of jeans before the discount was
added?
$167.17
$21.80
$59.00
$29.50
RATIONALE
To calculate the price of an item before the discount was added, multiply the original
item by (1 – r), where r is the percent discount expressed as a decimal. The price of t
the discount included is $50.15 and the percent discount, r, is 15%, or 0.15 when wri
decimal. Substitute these values in the equation and solve for the original price.
Once the known values are substituted into the formula, evaluate the parentheses by
0.15 from 1.
1 minus 0.15 equals 0.85. Next, undo the multiplication on the right side by dividing
0.85.
$50.15 divided by 0.85 is $59. This is the price Rob paid for TWO pairs of jeans. Lastl
, by 2 to find the original price of one pair of jeans.
The price of one pair of jeans before the discount is $29.50.
CONCEPT
Solving Problems involving Percents
2
Find the solution for x if |7x + 5| = 19.
RATIONALE
To solve this equation, we will need to create two separate equations without absolut
One equation will contain the expression exactly as it appears within the absolute va
second equation must consider the case when the expression has the opposite value
each equation separately, starting with 7x + 5 = 19.
To solve for x, start by subtracting 5 from both sides.
On the left, we have only 7x. On the right, 19 minus 5 is 14. Then divide both sides b
The solution for the first equation is x = 2. The same process can be applied to the s
equation 7x + 5 = -19.
To solve, start by subtracting 5 from both sides.
, On the left, we have only 7x. On the right -19 minus 5 is -24. Then divide both sides
x.
The solution for second equation is
The two solutions to |7x + 5| = 19 are x = 2 and .
CONCEPT
Absolute Value Equations
3
Rationalize the denominator and simplify the following expression:
RATIONALE
