Post on 04-Jan-2016
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Simplify And
EvaluateSolving Inequalities
AbsoluteValue
Word Problems
5 + 3 × 4 ÷ 2
11
8 – 11(3 – 4x) – 7(5x – 9)
9x + 38
-3(x2 – 2) – 2(2x2 – 1)
-7x2 + 8
Evaluate ifx = -1 and y = 3
-4xy + 2x2
14
Evaluate ifa = -3, b = 2, and c = -1
2a2 – (4b + c)
11
Solve for “k”
k + m = w
h
k = wh - m
Solve for “h”
SA = 2rh + 2B
SA – 2B2∏r
y = x2 + xz 1
5
Solve for z:
5(y – x2)
xz =
3 1 11
5 10 2k k k
k = 5{5}
3(x + 2) = 8(x – 1) +5
x = 9/5 {9/5}
Solve and Graph
-5y + 6 ≤ 26
y ≥ 4
Graph: closed circle on 4, shaded to the right.
Solve and Graph
2(x – 4) < 8
x < 8
Graph: open circle on 8, shaded to the left.
Solve and Graph
4 – x < 2x + 1
x > 1
Graph: open circle on 1, shaded to the right.
Solve and Graph
–16 -3x + 8 -7
8 > x > 5
Graph: open circles on 5 and 8, shaded
in between.
Solve and Graph
-2 > x + 1 OR 2x > 6
x < -3 OR x > 3
Graph: open circle on -3 and shaded left; closed circle on 3 and shaded
right.
Solve.
4 2 14k
k = 3 ; k = -4{3, -4}
Solve.
| ½ x – 3| = 4
x = 14 or x = 2{ 14, 2}
Solve.
|3x + 3| > 9
x > 2 or x < -4
Graph: open circle on 2 and shaded right; open circle on -4 and shaded
left
Solve and Graph
|4 – 2x| > 8
x < -2 or x > 6
Graph: Closed circle on -2 and shaded to the left. Closed circle
on 6 and shaded to the right.
Solve and Graph
| 4x – 5 | < 5
0 < x < 5/2
Graph: open circle on 0 and 5/2 (between 2 and 3); shaded
in between.
You have $120 to purchase soda for a party. Each case of 24 bottles costs
$5.99. Assuming there is no sales tax, how many cases can you purchase?
5.99x = 120
20 cases
A bag of lawn fertilizer claims that it will cover
5000 square feet of grass. If your yard is
27,500 square feet, how many bags of fertilizer
will you need?
5000x = 27,500
6 bags
Jane’s cell phone plan is $40 per month plus $.15
per minute for each minute over 200 minutes of call
time. If Jane’s cell phone bill is $58.00, for how many total minutes did
Jane have for her last bill?
40 + .15x = 58
320 minutes!! ( did you remember to add the “free” 200
minutes to your answer?)
A book club promises to send you 8 books for $1, if you join the club.
After you receive the 8 books, you may select more books at a rate of $19.99 per book. If you
spend a total of $80.96, how many extra books did you
purchase?
19.99x = 79.96
4 extra books
Tickets for the DMB concert are $29.95 each (lawn seats!). Your
family and a friend of yours go to the concert. There are five people in your
family including yourself. How much will it cost for all of you to go?
5(29.95) + 29.95 = total costfamily of 5 + 1 friend = total cost
$179.70