Chapter 1 Review - Pd 12

|2x+5|=x-90

• X=85/3

• X=-95

• BOTH

• ∅

70+|x+20|≥1990

• (-∞,-1900] ∪ [1940, ∞), {x|x≤-1940 ∨ x≥1900}

• (-∞,-1940) ∪ (1900, ∞), {x|x≥-1940 ∧ x≤1900}

• (-∞,∞), {x|x=ℝ}

• (-∞,-1940] ∪ [1900, ∞), {x|x≤-1940 ∨ x≥1900}

2|x+1|-3>17

• (-∞,-11)∪(9,∞)

• (-∞, 9)∪(-11,∞)

• (-∞,-11)(9,∞)

• (-∞,-11)∩(9,∞)

Factor completely:

x²-6xy+9y²+x³-27y³

• (x-3y)²+(x-3y)(x²+3xy+9y²)

• (x-3y)(x-3y+x²+3xy+9y²)

• (x-3y)(x+3y-x²-3xy-9y²)

• (x+3y)²+(x-3y)

x + 1 < 7 + 21x ≤ 32 - 16x . <>≤≥

• 25/37 ≥ x < -3/10

• 3/10 < x ≤ 25/37

• 25/37 ≥ x > 3/10

• -3/10 < x ≤ 25/37

The average temperature of a person that has the flu is 100 degrees Fahrenheit. The actual temperature might be 2 degrees higher or lower than the average temperature. Write and solve an absolute value equation to find the maximum and minimum temperature of a person who has the flu. (Let the variable t be the maximum and minimum temperature).

• | t - 100 | = 2 , t = 102 and t = 98

• | t - 2 | = 100 , t = 102 and t = -98

• | t - 100 | = 2 , t = -102 and t = 98

• | t - 2 | = 100 , t = 102 and t = -98

Name the sets of numbers to which each number belongs:

-√529, √17

• 1st number: Real, integer, rational

• 2nd number: Real, integer, rational

• 1st number: Irrational

• 2nd Number: Real, Irrational

Find x in interval notation.

^{[64/3 ≤ ⅔(12x - 4) and 5x + 22 < -⅘(10x + 5)] or 19 ≥ -⅔x + 11}

• (-∞,-2)

• (-∞, 3]

• (-∞,∞)

• [-12, ∞)

Mr. Urbanovich wants to create a mixture of nuts worth $5/lb. How many pounds of macadamia nuts ($4/lb) and peanuts ($10/lb) should he mix to get 9 lbs of this mixture?

• 3 lbs of macadamia nuts & 3 lbs of peanuts

• 7.5 lbs of macadamia nuts & 1.5 lbs of peanuts

• 9 lbs of macadamia nuts & 1 lb of peanuts

• 8 lbs of macadamia nuts & 9 lbs of peanuts

x² + 2|x-5| < (x+1)(x+2) + 5

• {x: x < 3/5 and x > -17}

• {x: x > 3/5}

• {x: x > - 17}

• {x: x > 3/5 and x < -17 }

• {x: x <-17 or x > 3/5}