Linear equations and inequalities Monday, June 3, 2019 12:03 PM 1. A line passes through (2, 9) and has a zero slope. Write an equation of the line satisfying the given conditions. A. y = 2 B. x = 2...

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Linear equations and inequalities Monday, June 3, 2019 12:03 PM   1.   A line passes through (2, 9) and has a zero slope. Write an equation of the line satisfying the given conditions.         A. y = 2   B. x = 2   C. x = 9   D. y = 9 2.   Which of the following is a linear equation?         A.    B.    C.    D.    3.   A/An _______ is a statement indicating that two expressions are equal.         A. expression   B. equation   C. identity   D. contradiction   4.   The S-Cargo shipping company calculates shipping charges using the linear model, y = 2.72x, where y is the cost in dollars and x is the weight of the package in pounds (1 ≤ x ≤ 9). Use the linear model to compute the weight of a package with a shipping cost of $21.76. Round to the nearest hundredth of a pound, if necessary.         A. 10.72 lb   B. 2.94 lb   C. 21.76 lb   D. 8.00 lb 5.   Determine the slope and the y-intercept of the line 7x + 3y = –8.         A.    B.    C.    D.      6.   Solve the inequality. Write the answer in interval notation. –2 < –2y +="" 19="">< 10 =""     =""   a. =""   b. =""   c. =""   d. =""  ="" 7.=""   a="" line="" contains="" the="" point="" (–3,="" –4)="" and="" is="" perpendicular="" to="" a="" line="" with="" a="" slope="" of ="" .="" write="" an="" equation="" of="" the="" line="" satisfying="" the="" given="" conditions.="" write="" the="" answer="" in="" slope-intercept="" form. =""     =""   a. =""   b. =""   c. =""   d. ="" 8.=""   solve="" the="" equation: =""  =""     ="" a. =""   b. y ="0"   c. y ="–10"   d. =""  ="" 9.=""   which="" of="" the="" lines="" defined="" here="" has/have only="" one unique="" intercept?="" a. x ="8" b.="" –8x –="" 7y ="–7" c.="" 9y ="5" d.="" –3x –="" 3y ="0 "     =""   a. a.,="" c.,="" and="" d.=""   b. a.="" and="" c.=""   c. b.=""   d. b.="" and="" d.=""  =""  =""  ="" 10.=""   graph="" the="" linear="" equation: y ="–x +" 3 =""     =""   a. =""   b. =""   c. =""   d. =""  ="" 11.=""   solve="" the="" inequality.="" write="" the="" answer="" in="" interval="" notation.="" 5x ≤="" 10="" or="" 15="">< 7 =""     =""   a. {}=""   b. (–∞,∞)=""   c. (–∞,2]="" ∪="" (8,="" ∞)=""   d. (–∞,8)=""  =""  ="" 12.=""   identify="" the="" inequality="" that="" matches="" the="" graph. =""     =""   a. |x +="" 1|=""> 6   B. |x – 1| > 3   C. |x – 1| > 6   D. |x + 1| > 3   13.   Use the slope formula to determine the slope of the line containing the two points (4, –8) and (–1, –2).         A.    B.    C.    D.      14.   A tool rental store charges a flat fee of $9.50 to rent a chain saw, and $3.75 for each day, including the first. Write an equation that expresses the cost y of renting this saw if it's rented for x days.         A. y = 9.50x + 3.75   B. y = 3.75x – 9.50   C. y = 3.75(x + 9.50)   D. y = 3.75x + 9.50 15.   Graph the linear equation: 3y = –2x – 1         A.    B.    C.    D.    > 16.   Solve the absolute value equation.           A. {–28, 12}   B. {12}   C. {–12, 28}   D. {–28} 17.   Use substitution to determine which value is the solution to 5x + 3 = 18.         A. x = 3   B. x = 1   C. x = 9   D. x = 2   18.   Solve the equation:           A. x = 8   B. x = –12   C. x = 12   D. x = –10       19.   Find the slope of the line determined by the equation 2x = y.         A. m = –2   B. m = –3   C. m = 3   D. m = 2 20.   The sum of two consecutive even integers is 158. Find the least of the two integers.         A. 78   B. 156   C. 80   D. –78