1. Ms. Pain, the algebra teacher, has a habit of standing in front of crucial information . If she did the problem correctly (and she always does!), what symbol is she blocking? -3 X -3
A.) B.) > C.) < D.)

2. A.) {x x< -4}, -4.1, -4 B.) {x x > -4}, -3.9
Some text books use [ to represent and ( to represent
Given the following solution to an inequality, write the solution in set builder notation and then determine which of the three values -4.1, -4 and -3.9 are in the solution. ] -4
A.) {x x< -4}, -4.1, B.) {x x > -4}, -3.9
C.) {x x ≤ -4}, D.) {x x ≥ -4}, -4, -3.9
E.) {x ≤ -4}, -4.1, F.) None of these [ } ( ] { )

3. How Many Statements are True?
1. The inequality -x - 3 < 0 is equivalent to x > 3
2. "x is at most five" is written x ≥ 5
3. If 6 - x < -8 then 7 < (1/2) x
4. If the solution is
then x = -2.1 is in the solution set.
5. The solution x ≥ - 4 has one more
number in it than x > -4 F
-11 5
A.) 0 B.) 1 C.) D.) E.) F.) 5

4. -5 -8 -2 -3 6 1 4 7 4(1 - 2x) ≤ 9 - 6x The winning number is x but...
How many of the numbers are winners?
A.) B.) C.) D.) 5 E.) 8
F.) None of these

5. -2 -5 6 1 -8 -3 4 7 A.) 2 B.) 3 C.) 4 D.) 5 E.) 8 F.) None of these
The winning number
is x but...
0.96x < 0.21x
How many of the numbers are winners?
A.) B.) C.) D.) 5 E.) 8
F.) None of these

6. Grade the Teacher's work!
No errors = A
One error = B
Two errors = C
Three errors = D
Four or more = F
Grade the Teacher's work!
Solve the following inequality and graph your solution on the number line.
4 (2x-5) > 3(4x+1) - 13
8x - 20 > 12x
-4x > 32
x > -8
solution: -8

7. Grade the Teacher's work!
No errors = A
One error = B
Two errors = C
Three errors = D
Four or more = F
Solve the following inequality and graph your solution on the number line.
6 - 3(2x + 1) < 5x - 2
6 - 6x + 1 < 5x - 2
6x + 7 < 5x - 2
x < -9
solution: -9

8. A.) 1 B.) -3 C.) 2 D.) -2 E.) 3 F.) None of these 3
Ms. Pain, the algebra teacher, has a habit of standing in front of crucial information . If she did the problem correctly (and she always does!), what number is she blocking?
3(7 - 2x) > 4x-6 3
A.) B.) C.) D.) -2
E.) F.) None of these

9. Which statements are True??
I.) If a > b and c < 0, then ac < bc.
II.) If a < b and c > 0, then a - c < b - c
III.) If a < b and c > 0, then
a b
c c
>
A.) I B.) II C.) III D.) 1, II E.) I, III F.) II, III

10. The sum of the lengths of any two sides of a triangle is greater than the length of the third side. Using the triangle below, which inequalities are true? 2x
3x - 5
4(x - 2)
A.) 6x - 8 > 3x B.) 7x - 13 > 2x
C.) 7x - 13 < 2x D.) 3x < 6x - 3
E.) 5x - 5 > 4x F.) None of these

11. The sum of the lengths of any two sides of a triangle is greater than the length of the third side. Using the triangle below, which inequalities are true?
3x +1
4x - 3 5x
A.) 4x < 8x B.) 4x - 1 < 8x
C.) 9x > 3x D.) 9x - 3 < 3x + 1
E.) 9x - 4 > 3x F.) None of these

12. Which inequality best represents this problem?
Consumer experts advise us never to pay the sticker price for a car. A rule of thumb is to pay the sticker price minus 20% of the sticker price, plus $ We have $18,000 budgeted for a new car. What sticker prices are in our budget?
Which inequality best represents this problem?
A.) let x = sticker price
x < 18000
B.) let x = sticker price
x - .2x ≤
C.) let x = purchase price
x -20% +200 ≤ 18000
D.) let x = sticker price
x - .2x ≤ 17800
F.) None of these
E.) let x = purchase price
18000 ≤ x - .2x+200

13. E.) 4315 > .8x - 500 F.) None of these
Most insurance companies will "total" a vehicle
if an estimated repair, minus the deductible, exceeds 80% of the "blue book" value. Jesus hits a deer in the middle of No Where, Nevada.
The estimate for repair was $4,315; Jesus has
a $500 deductible policy. The insurance
company totaled the jeep. Let x = blue book
value of the jeep. Which inequality could be
used to correctly find the blue book value?
A.) > .80x B.) .8(4315) > x
C.) .80x > D.) > .8(x-500)
E.) > .8x F.) None of these

14. A.) B.) C.) E.) D.) F.) None of these
The Body Mass Index, BMI, is used to determine if a person's weight is in a healthy range. If the BMI is in the range 19 to 24.9 the person is considered healthy.
The formula is:
where w is weight in pounds
and h is height in inches.
How much can a 6 foot tall person weigh and still be considered healthy? Choose the algebraic sentence that best represents this problem.
A.)
B.)
C.)
E.)
F.) None of these
D.)

15. A Pima student on a date realizes that he has $51 in his pocket
A Pima student on a date realizes that he has $51 in his pocket. The sales tax in Tucson is 7% and the minimum tip is 15%. What menu price can he afford? Let x be the menu price.
Which inequality best represents this problem?
A.) 51 > x + .15x + .07x B.) x + 7% + 15% ≤ 51
C.) x ≤ D.) 51 < x + .15x + .7 x
E.) 51 ≤ x + .22x F.) None of these

16. The postal service requirements on a
box shipped by priority mail are: It must weigh
less than 70 pounds and its length plus the distance
around the widest part of the box must be less than
108 inches. You plan on using a rectangular box with a length of 36 inches and you need a box with a width 6 inches more than its height.
Which inequality best represents your mailing restrictions
for size?
width
A.) 108 ≥ 4x B.) 2x + 36≥ 108
height
C.) 108 < 4x D.) 72 ≥ 4x + 6
36 in.
E.) 4x + 48 ≤ F.) None of these