North Tonawanda City Schools / Overview



Name:_________________________________Period:_____________Date:______Chapter 3: Inequalities Test REVIEW SHEETComplete the following questions. Show all work in the space provided. Do not answer a question without providing an explanation or some work – even on multiple-choice!!Given the following set of words. At mostAt leastNo more thanNo less thanIs more thanIs less thanGreater than or equal to Less than or equal toWhich statement is true?(1) The symbol > can be written as A and G only(3) The symbol < can be written as A and C only(2) The symbol > can be written as B and D only(4) The symbol < can be written as A, C, and HWrite an inequality shown on the accompanying graph in set-builder and interval notation.3) Which value of x is in the solution set of: 43x+5<17(1) 8(2) 9(3) 12(4) 164) The inequality 3x+2>x+8 is the same as(1) x>-32(2) x>32(3) x>3(4) x<35) Which inequality is equivalent to 9>32x-6?(1) x < 7(2) x < 2(3) x<8(4) x < 106) Find all negative odd integers that satisfy the following inequality: -3x+1≤177) Which value of x is in the solution set of -4x + 2 > 10?(1) -2(2) 2(3) 3(4) -48) Graph the conjunction x<4 and (x ≥-13) and write it in set-builder notation.9) The statement “The sum of twice a number and?18 is greater than?25” can be expressed as(1) 2n+18=25 (2) 2n+18>25(3) 2n+18>50(4) 2n+18>2510) The length of a rectangle is 15 and its width is?w. The perimeter of the rectangle is, at most?50. Which inequality can be used to find the longest possible width?(1) 30+2w≤50(2) 30+2w<50(3) 30+2w≥50(4) 30+2w>5011) If x is a member of the set of integers, the solution set of -4<x≤1 is(1) {-4, -3, -2, 0} (2) {-3, -2, -1, 0, 1}(3) {-4, -3, -2, 0, 1} (4) {-3, -2, 0} 12) Graph the disjunction x<-2 ? (x>3) and write it in set notation.13) Which of the following inequalities is not equivalent to x<-3?(1) x+2<-1 (2) x-4<-7 (3) 2x<-6 (4) -3x>9 (5) all are equivalent14) Bob has four more than twice as many CDs as Jim. If they have a total of 31 CDs, how many CDs does Jim have?221413915) Solve: 2x-13=5 16) The manufacturer of Ron’s car recommends that the tire pressure be at least 26?pounds per square inch and less than 35?pounds per square inch. Create a number line and graph the inequality that represents the recommended tire pressure. Then write a compound inequality that represents the recommended tire pressure.17) Solve the inequality below algebraically for x. Graph, and then write your answer in interval and set-builder notation.-3-64x+6≤-11118) Solve, graph and write solution in set-builder notation:|3 – 2x| > 419) Thelma and Laura start a lawn-mowing business and buy a lawnmower for $225. They plan to charge $15 to mow one lawn. What is the minimum number of lawns they need to mow if they wish to earn a profit of at least $750? 20) Frank is going to buy some ties at $7.50 per tie and some shirts at $18.50 per shirt. If he buys twice as many ties as shirts and spends no more than $205, what is the greatest number of shirts he can buy? [All prices include tax.] 21) Solve, graph, and write the solution set in interval notation:-18<2x-4<622) Solve and graph the inequality. Write your answer in interval notation.-23-9x+12≥12-2x23) The heights,?h, of the students in the chorus at Central Middle School satisfy the inequality below, when h is measured in inches. Determine the interval in which these heights lie and express your answer in set-builder notation.h-57.52≤3.2524) Mark used the formula D=rt to determine how long it should take him to drive 275?miles at 55?miles per hour. He got 220?hours for his answer. Explain his error and how to get the correct answer.Chapter 3 Review Sheet Answers:4-1,∞;{x|x≥-1}134-5, -3, -14{x| -13 < x < 4} 412 {x| x < -2 or x > 3}54{-7, 8} 26 < p < 353,∞, {x|x≥3}x|x≤-12 or x≥72656 shirts(-7, 5) [2.5,∞){h| 51 < h < 64}The correct answer is 5. Provide an explanation of what Mark did wrong. ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download