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.)

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, -4 B.) {x x > -4}, -3.9 C.) {x x ≤ -4}, -4.1 D.) {x x ≥ -4}, -4, -3.9 E.) {x ≤ -4}, -4.1, -4 F.) None of these [ } ( ] { )

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.) 2 D.) 3 E.) 4 F.) 5

-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.) 2 B.) 3 C.) 4 D.) 5 E.) 8 F.) None of these

-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 - 0.79 < 0.21x + 0.46 How many of the numbers are winners? A.) 2 B.) 3 C.) 4 D.) 5 E.) 8 F.) None of these

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 + 1 -13 -4x > 32 x > -8 solution: -8

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

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.) 1 B.) -3 C.) 2 D.) -2 E.) 3 F.) None of these

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

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 - 5 B.) 7x - 13 > 2x C.) 7x - 13 < 2x D.) 3x < 6x - 3 E.) 5x - 5 > 4x - 8 F.) None of these

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 - 2 B.) 4x - 1 < 8x C.) 9x > 3x -2 D.) 9x - 3 < 3x + 1 E.) 9x - 4 > 3x F.) None of these

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 $200. 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 - .20 + 200 < 18000 B.) let x = sticker price x - .2x ≤ 18200 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

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.) 4315 > .80x + 500 B.) .8(4315) - 500 > x C.) .80x > 4815 D.) 4315 > .8(x-500) E.) 4315 > .8x - 500 F.) None of these

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.)

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 + .15 + .07≤ 51 D.) 51 < x + .15x + .7 x E.) 51 ≤ x + .22x F.) None of these

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 + 42 B.) 2x + 36≥ 108 height C.) 108 < 4x + 36 D.) 72 ≥ 4x + 6 36 in. E.) 4x + 48 ≤ 108 F.) None of these