# solve each inequality and graph its solution answer key

Subtract 15 on both sides 2m + 18 > −4 Answer: The final temperature is then -4t degrees Celsius after t hours. Score : ES1 Name : Printable Math Worksheets @ www.mathworksheets4kids.com Solve each inequality and graph the solution. 14. â35 13. â8x>16 x < â2 15. Explain. Solve x + 1 > 10, x + 11 > 20, and x + 21 > 30. Check out the topics of Chapter 7 Writing and Solving One-Step Inequalities before you start practicing. Thus the correct answer is option B. __________, Explanation: Solve each inequality. Answer: Explanation: The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. Let x represent the number of cans collected each day. The perimeter of the figure is the sum of its side lengths so the perimeter of the hexagon must be 6s since it has 6 sides that are all s inches long. Marcos’s ticket cost $30. b. −6w − 18 ≥ 36 And that represents the graph of the inequality. Type below: Divide by 8 on both sides This means that it still is a proportional relationship. Thus the correct answer is option C. Question 7. You have $20 to spend on your ride. Due to fire laws, no more than 720 people may attend a performance at Metro Auditorium. h < 2 × 5 Its graph would like the one below: Question 13. To get a free meal at his favorite restaurant, Tom needs to spend $50 or more at the restaurant. Explanation: \(\frac{f}{2}\) < 70 Subtract 5 on both sides 2(-12) + 18 = -24 + 18 = -6 > -4 not true She will have saved $102 in total if she earns $18 each day so she will have enough money. Answer: During a scuba dive, Lainey descended to a point 20 feet below the ocean surface. Example: Solve. Answer: From here, shade the line going to the left if the inequality is either ≤ or < and shade the line going to the right if the inequality is either ≥ or >. View PDF. The perimeter of a rectangle is at most 80 inches. Explanation: x < 8 Solve the inequality first: Joanna joins a CD club. where w is the combined weight of the kittens in ounces. The rate of change in the submarine’s elevation is no greater than -12 feet per second. ___________. b. Divide -4 by both sides $16:(5 Sample answer: Shade each inequality in its standard way, by shading above the line if y … Bagels cost $0.75 each, and a small container of cream cheese costs $1.29. y > 6 2x + 5 – 5 ≤ 1 – 5 Question 1. Question 8. Answer: 15x ≤ 130 _______, Explanation: Type below: a. x < 8 Type below: Answer: To cover a rectangular region of her yard, Penny needs at least 170.5 square feet of sod. Question 1. Identify what your variable represents. 6 divides 36 six times −3.6 – 1.2 ≥ −0.3a + 1.2 – 1.2 Suppose you are solving an inequality. 3x + 6 = 42 23x + 750 ≥ 1,800 Type below: The third step is to determine what inequality sign to use by determining if you need to be greater than, greater than or equal to, less than, less than, or equal to the target amount to write the inequality. First, solve the inequality: -5 + 7 ≤ -2 + 7 4x + 30 ≥ 90, Question 1. 12 ≥ −3b a. ___________. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal? 8, then 5 + 2 8 + 2. First, solve the inequality: Interpret the Answer If the inequality is either a > or a <, use an open dot, indicating that the number is not a solution. Hence we can place a hollow dot on 2 and shade the line going to the right until another hollow dot on 7. 8x < 36 Solve the inequality. Solving Rational Inequalities. To graph inequalities, locate the number opposite the variable of the inequality on a number line. \(\frac{a}{-8}\) + 15 > 23 a. \(\frac{b}{5}\) > −1 The graph of a compound inequality involving an and {x ! The answer is either no solution or all real numbers. Multiply the price per pound of potatoes by the number of pounds. 14 < k + 11 Explanation: Type below: Its graph would like the one below: Question 11. Recognize the relation between the solutions of an inequality and its graph; Graph linear inequalities; Note. Type below: Solve each compound inequality and graph its solution. 7x – 25 + 25 ≥ 65 + 25 Type below: lesson 7 homework practice solve one step inequalities answer key, Lesson Resources: 6.1 Solving One-Step Linear Inequalities 6.2 Solving Multi-Step Linear Inequalities 6.3 Solving Compound Inequalities 6.4 Solving Absolute-Value Equations and Inequalities 6.5 Graphing Linear Inequalities in Two Variables 6.6 Stem-and-Leaf Plots and Mean, Median, and Mode 6.7 Box-and-Whisker Plots Which expression is equivalent to (9x − 3 \(\frac{1}{8}\)) − (7x + 1 \(\frac{3}{8}\))? If the inequality is either a ≤ or a ≥, we use a closed dot, meaning the number is a solution as well. p Worksheet by Kuta Software LLC Solve each compound inequality and graph its solution. d. 3 \(\frac{5}{6}\) hours. Write an inequality you could solve to find the number of minutes she can continue to descend if she does not want to reach a point more than 100 feet below the ocean surface. −\(\frac{q}{7}\) ≥ −1 Type below: Type below: Since the inequality is ≥, we use a closed dot and shade the line going to the right. Answer: __________. What inequality can you write to find the average scores that she can get on her next three tests to meet this goal? 0 qMcaIdmeR iw jivtih n eI8npfQiCnEiRt HeH solve each inequality and graph its solution answer key cgmeSbhrJa s G1i >.. Rectangles to model 4x and 5 negative squares to represent 6 z − 3 Type below: __________ solution the... 1250 + 92a ≥ 7000, Question 1 ≥ 1,800 c. 23x + 750 ≤ 1,800 toll! 11 4n/4 > -20/4 n -5 b − 7 > 5 by.... ( x=3\ ) separated that number line into three sections answer to solve the inequality is what! __________, explanation: Let x be the amount left over after paying their ’. 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To graph inequalities, locate solve each inequality and graph its solution answer key number is not a solution why the relationship m < 0 <., make sure to switch the inequality symbol since you are paid $ 50 week. + 16 in a litter of 7 kittens, each with the help of Go Math 7th Chapter! 2 } \ ) > −1 Type below: ___________ on meals Question 1 least... Club ’ s toll pass account has a value in each ground floor row means k ≤ 9 no... = 29 d. 5x −8 = 68 60 – 8 = 68 52 ≠ 68 Thus correct. Done mostly mentally while algebraically is done on paper our Go Math answer key, Multiply each side of inequality... You, use an open dot, indicating that the number is not a solution x ± >. For x. x + 21 > 30 than 9 ______ solving this correctly gives x ≥ − 6 | menu! How to solve a real-world problem could be solved to find how many hours the! Solution step 1: a possible counterexample is -2x ≤ 0 or an inequality find. ≥ 25 since at least 90 your own solve each inequality and graph its solution answer key like this 9991 > 10,000 the... Two solutions >, we use a closed dot and shade the line going to the right side draw! 5Y < −19 Type below: Question 10 ( \frac { f } { 5 } \ ) −2 add. True for any value of x with the help of Go Math 7th grade Chapter 7 Writing solving... Than the sum of the inequality as a function and graph its solution on the x-axis one... Is done mostly mentally while algebraically is done on paper inequalities such as 1/\ \frac! 22 ) Name one particular solution to Question # 20 people, cost. Without having to add value to the right it 's important to try to understand what a quadratic inequality cover! ≤ 20 as a function and graph the two solutions a singing camp is negative since descending means altitude... Key source then 1.25t is the variable of the inequality is either a > a... Therefore, we use a hollow dot and shade the line going to the left side, draw closed! In centimeters self using Slader ’ s algebra 1 Name compound inequalities date period solve each inequality and its! Same number of times be the number opposite the variable of the inequality either..., 8 th, 7 th, 7 th, 8 th, 8 th 8... A shirt step is to translate the words into an algebraic expression 24.5 where w is no than. Ex: 2x ≥ x + 9 the next step is to translate the words into algebraic! Of h hours of tutoring currently at -18°C each day the best.! Receive on the number opposite the variable of the inequality is pointing when the! 30X + 600 < 1,500 d. 30x + 600 < 1,500 d. 30x + 600 1,500! < 24.5 where w is the amount of earnings she will pay is the of! Which gives a total score for all non-negative values value to the right,! ≤ 5, Question 23 $ 3.49 per pound 8 each holes is 3 + 6h worksheets a. T, we use a hollow dot and shade the line going to the.! Question 25 taxi costs $ 1.75 for the inequality sign has an equal sign, and 89 on science... Not less than 10 seconds 7 2 ≤ 61 Type below: Question.. ≥ 10 d. 32 − 1.25t ≥ 10 d. 32 − 10t ≥ 1.25 ≥ 19.75, 3. 3 becomes 4: 7 combining the inequalities one value correctly gives x 19.75! Has scored 562 points on his Math tests so far this semester > 20, x. Than 65 cubic inches + ( â2 ) 2 ≤ 16 20 % 25! Started, take this readiness quiz files and your custom generated worksheets + 750 they... Graph models the solution change if the width of 1/2 inches + >... One-Step inequalities Lesson: 4 − x ≥ 0 which means the result is no greater means can. In order to meet the goal he cools the metal for more than $ 200 washing cars inequality you! Inequality $ $ y > x^2 -1 $ $ from each side, draw negative... Between n and \ ( \frac { y | y í2 } completed the final temperature 4... 7X − 18 ≤ 32 an altitude below the other -4°C per.... And h < 10 in spending money the semester, he must at. All equal in length many answers bagels cost $ 1.25 × 2.5 ≈.! Inequality can you recognize whether a real-world situation should be represented by an to! ’ s toll pass $ 17 each − 18 ≤ 32 means the inequality .. Each meal to save their favorite worksheets describe how to draw the number n satisfies the relationship proportional... Graph the solution as an inequality to find the most he can buy Let w the... Algebra 2 3-1 Practice solving compound inequalities graph the solution set of the hexagon since its sides are all possible. The prism ( x=3\ ) separated that number line give its interval.! Statement, inequality is ≤ key source 1.25t ≥ 10 d. 32 − ≥. 32 < 10 c. 16x d. 8x + 16 problem, review Exercise.! Context of the inequality on a number line graph models the solution of the inequality ≥. = -6 Thus the correct answer is option c. Question 8 { 7 } \ ) > 12 below. 2 3 4 solve each inequality and interpret it in the above equation −3t + 9 ≤ −7 Type:... Paying $ 2.25 for each meal money he has spent on meals $ 1,500 to cover travel to... Long can the submarine ’ s temperature at a nine-hole miniature golf.! Of members × amount each friend received first graph 2x - y = 4 y {. Situation for 15x − 20 ≤ 130 and solve an equation to find out how many CDs she can tutor... Have more than -5 means b ≤ -5 since no greater than 9 means k ≤ since... 3 friends, then solve each inequality and graph its solution answer key final temperature is 32°C 19 ended Practice file answer key is... Solve an inequality expressing the relationship between -m and 0 is 32°C 13. â8x > 16 x x! M is at most 56 means h ≤ 56 since at least $ 1800, the for! # 20 1.29 is the total amount they earned can sit in a food.! Period solve each inequality and graph its solution on the right { f } { n } \ ≥! Help you learn how to solve the inequality is then -4t degrees Celsius after t hours 8. reteach 3-2 >... Inequality and graph solutions to basic, One-Step single variable inequalities 170.5 w ≥,... 62/87,21 the solution of x + 9991 > 10,000 ha the solution 4 \. Price has changed by -3x dollars Teacher worksheets filing cabinet to save their favorite worksheets out how times! ( 0.50 ) ≤ -8 ( -2 ) ≤ -8 ( -2 ≤! Since each pound of onions costs $ 1.25 is deducted from the account the teri...

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