Multi-Step Equations
Ratios and Proportions
Percent of Change
Literal Equations
Absolute Value
100
Solve the equation:
-1/4 = 2/3b
-3/8
100
Solve the proportion:
1/0.19=12/n
2.28 or 2 7/25 or 57/25
100
Find the discounted price:
DVD: $22.95
discount: 25%
$17.21
100
Solve the formula for r.
C=2𝜋r
C/(2pi)=r
100
Evaluate
|m + (-6)| - 14 if m = 4
-12
200
Solve the equation:
(n + 1)/-2 = 15
-31
200
Solve the proportion:
7/(x + 9)=21/36
3
200
Determine whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change: original: 20 final 23
increase 15%
200
Solve 4m - 3n = 8 for m
m = 2 + 3/4n
200
Solve the equation:
|4t - 8| = 20
{7, -3}
300
Solve the equation:
-1/5 - 4/9a = 2/15
-3/4
300
Jennie ran the first 6 miles of a marathon in 58 minutes. If she is able to maintain the same pace, how long will it take her to finish the 26.2 miles? (Round to nearest tenths place)
~253.3 min or ~ 4 h 13.3 min
300
Tickets to the county fair are $8 for an adult and $5 for a child. If you have a 15% discount card, how much will 2 adult tickets and 2 child tickets cost?
$22.10
300
q = p(r + s), for p
p = q/( r + s), r ≠-s
300
Solve the equation:
|3/4a - 3| = 9
{16, -8}
400
Solve the equation:
6(5m - 3) =1/3(24m + 12)
m = 1
400
Solve the proportion:
(2n - 4)/5 = (3n+3)/10
11
400
An index measures the percent change of a value from a base year. An index of 115 means that there was a 15% increase from the base year. In 2000, the consumer price index of dairy products was 160.7. In 2007, it was 194.0. Determine the percent of change. Round to nearest tenths place.
~20.7% increase
400
-14n + q = rt - 4n, for n
n = (rt - q)/-10
400
Solve the equation AND graph:
4 - 3|q| = 10
no solution (empty number line)
500
x = 4
500
Joel used a half gallon of paint to cover 84 square feet of wall. He has 932 square feet of wall to paint. How many gallons of paint should he purchase?
6 gal
500
The current price of each share of a technology company is $135. If this represents a 16.2% increase over the past year, what was the price per share a year ago?
$116.18
500
ax + z = aw - y, for a
a = (-y - z)/(x - w), x ≠ w
500
Write the equation involving absolute value for the graph:
|x-2/3| = 2/3