Algebra I CBA – REVIEW
1) Suzy is planning her wedding and has a max budget of $5000 for the reception. The reception hall is a flat
fee of $3200, and plates of food are $25 per guests. If x represents the number of guest invited, which of
the following inequalities best represents Suzy’s budget for the reception?
a) 3200 + 25x > 5000
b) 3200 – 25x > 5000
c) 5000 + 25x < 3200
d) 3200 +25x < 5000
2) Felicity is planning her quinceañera. The total cost c, is determined by a one-time fee of $500 for the
banquet hall and $25 per person p that attends. The equation for the total cost is represented by the
equation c = 500 + 25p. If Felicity has a total budget of $3750, how many people can she invite?
Basic Percentages
Percentages can be tricky. Normally there are represented by a % sign. They can also be represented by a
decimal. For example: 20% can be represented by .20, 30% by .30, etc. 100% is represented by 1, 200% by 2,
etc…
If we want to show an INCREASE in something with a percent, the equation is represented as follows:
x + .25x
What this shows is that we want to have 25% more of x. Percentages are a fraction of a whole piece. They are
a PART of 100%.
We want to find out how many ounces
Are gained when we get 25% of soap
Amount = 10 oz
25% more means 10 + ((25% of 10 oz))
 10 + .25(10) = 12.50 oz
If we want to show a DECREASE in something with a percentage, we setup the equation the same way, but we
SUBTRACT the percent value.
Presenting the NEW Jennifer Hudson…
Available now with 25% LESS
25% less means 200 – 25% of 200
 200 - .25(200)
 200 – 50 = 150
PRACTICE!!!!
3) When a baby is born it is expected that it’s birth weight with increase by 300% it’s first year (that’s
TRIPLED). If the average weight of a baby boy is 8 pounds, what is the final weight expected when it is 1
year old?
4) When an iPad is being used constantly, it loses 15% of it’s battery life every hour. At 8 am, Doc Todd’s
iPad is charged at 100%. If she acts like one of her students and uses it constantly for 3 hours, how much
battery life is left at 11 am?
FUNCTION NOTATION BASICS
f(x) is saying “y is a FUNCTION of x”
if f(x) = x + 2; f(7) = 7 + 2
5) f(x) = 6x - 2(x + 4) - 3(x + 3)
Find f(2),
Find f(0)
Find f(-2)
6) f(x) = 2x – 4(x + 1) + 3(4 + x)
Find f(2)
Find f(1)
Find f(0)
[[[[[Fun with Brackets]]]]]
Brackets are extended parentheses
Brackets keep track of groups of numbers, variables, and parentheses before distribution
Your turn to practice…
7)
3[ a + 2(3 + a)]
8)
7[ d + 3 + 7d + 2 + 4(d + 2d)]
Guessing Game… What step is next?
Take the following equations and decide which of the choices is the correct for the next step
9)
10)
Inequality Practice
HINT: Is y greater or less than x in each situation?
11)
12)
13)
Verbal Representations of Equations and Inequalities
Distributive Property: The product of 3 and the quantity 4 + x is 16  3(4 + x) = 16
The sum of 25 and a number times 3 is 100  3(25 + x) = 100
Inequalities:
The difference of 7 and a number is less than 12  7 – x < 12
A number times the sum 4 and 2 is greater than or equal to 12  x(4 + 2) > 12
14) The difference of 12 and a number, times 3 is less than 50
15) The sum of 4 and a number is less than 2 times a number plus 2