38, m 5 15 Translate and solve: Two-fifths of ff is 16. What does this checklist tell you about your mastery of this section? There is no lower end to those numbers. 0.24 y + a, k = For example, the inequalities, on two separate lines in the advanced section are read by QuickMath as. = If you multiply both sides of an equation by the same number, you still have equality. 12 symbol is reversed.) n, 3 = 7 12 Next, we will identify what we are looking for and assign a variable to represent it. 2 In the following exercises, translate and solve. 2, z As with equations, a value of the variable for 14 u = p the number of invitations Felicity needs to write. 5 10 Both are acceptable translations of the phrase. 0000007419 00000 n 5 100 > 35, z 2 Noe installs and configures software on home computers. How do you translate the following statement "The product of five less than a number and two is six" into an algebraic expression and then find the number? Andre is looking at apartments with three of his friends. 6 If the result is a true statement, we have an identity. 40 0 obj<>stream Calculate the number of terms it will take you to achieve your college goal by writing an appropriate inequality and then solving it. 2 Heres the final interpretation of the math phrase in an algebraic expression: Example 4: Write an algebraic expression for the math phrase the average of a number and 4. What was the cost of one water bottle? 0.75 Rewrite the product with 3 total decimal places. + For example, starting with the true statement - 3 < 5 and multiplying v 6 4 Translate and solve: Three-fourths of ff is 21. They want the monthly rent to be no more than $2,360. Click the blue arrow to submit and see your result! 3 1 y, 731 2 Is this the appropriate phone plan for you? 61, m and you must attribute OpenStax. We recognize these forms when we are left with only constants as we solve the inequality. ( Explain why it is necessary to reverse the inequality when solving 5x>10.5x>10. You can also add, subtraction, multiply, and divide and complete any arithmetic you need. = The interval (-oo, 4) is an example of an Two dozen students were injured. 0.75 Example 2.50. Step 2: Click the blue arrow to submit. If the average weight of one person is 150 pounds, how many people can safely ride the elevator? 7 Arleen got a $20 gift card for the coffee shop. How many guests can attend if Penny wants the total cost to be no more than $1,500? 55 7 Kiyoshis phone plan costs $17.50 per month plus $0.15 per text message. q Math is Fun shows examples of Let c be the unknown number, the algebraic expression for the math phrase above can be written as. The inequality solver will then show you the steps to help you learn how to solve it on your own. Fractions Calculator. ( 29, 9 Is this in High School. = Multiply whole numbers and decimals. Solution: The word twice means we are going to double something. He charges $175 per car. u, 2 75. x g b Add the 2 that you carried = 17 Example 2: The difference of triple a number and 5. z Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . Solution for Five is no less than (floor) a number q multiplied by 9 * inequality plotting page allows you to plot the union or intersection of See Figure 2.3. 59 q His brother earns $3,300 per month. 10 ) They can earn the rest of the money they need by having a car wash. Stamps Travis bought $9.45 worth of 49-cent stamps and 21-cent stamps. 6 a + How many boxes can he safely load onto the pallet? Translate and solve: The sum of three-fourths and x is five-sixths. Solved lestion 8 Which expression is equal to "three less | Chegg.com. 0.24, 10 Parts of Long Multiplication 2 5 6 Multiplicand 3 2 Multiplier + 5 1 2 Partial Product + 7 6 8 Partial Product = 8 1 9 4 18 41 4 1 3 a 3.25, 0.75 Carry the 2 to Tens place, 5 3 = 15 12 3 On the other hand, starting with - 3 < 5 and ( ( Arrange the numbers one on top of the other and line up the place values in columns. p Eun-Kyung works as a tutor and earns $60 per hour. 21 With this notation, the interval in Example 1 can be written = 9 Direct link to jennifer's post Why do you talk in this d, Posted 6 years ago. What is the maximum number of packs she can buy? The difference of q and one-eighth is three-fourths. < Figure 2.2 shows both the number line and the interval notation. Math, like any other language, has a way of communicating ideas. Now multiply both sides by -1/3. 40 m 0 6 y 15 This is the last number to multiply so write the whole number answer. With these more complicated equations the first step is to simplify both sides of the equation as much as possible. direction of the inequality symbol is reversed. See Figure 2.4. 32x>2 x1.5x1.5 x34.x34. From now on, the solutions of all inequalities will be written with interval x = 20: A number is equal to the sum of twice the number and negative three. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . 0000007889 00000 n ( 9 ) Enter the expression you want to evaluate. 4 8 form, where a <> 0. < Direct link to VIOLET9364's post At 6:38 what is the answe, Writing algebraic expressions introduction. = + 1999-2023, Rice University. 3 Solution: The word difference suggests that we are going to subtract. m, 6 w What numbers are greater than two but less than five? Commission Every week Perry gets paid $150 plus 12% of his total sales amount over $1,250. Multiply the numbers using long multiplication. 14 If you need to multiply fractions visit our q ( p How many jobs must he work in order to make a profit of at least $2,400? 4 write the 1 and carry 1 Translate from algebra to English: 15>x.15>x. 8 Translate and solve: nn divided by 8 is equal to 5656. h ) Use the properties of inequality. m The 3 The restaurant charges $950 for up to 25 guests, plus $31.95 for each additional guest. ) 1 0.10 5 = z, 19.36 12, 5 x I'ts pretty easy once you you learn the system and the patterns that were put into the problems. ( a Emiliano thinks x=40x=40 is the solution to the equation 12x=8012x=80. ), (Both sides of an inequality may be multiplied by the same positive number n 12 The order of the terms here is (the unknown), followed by the value that is being multiplied onto (the unknown). Direct link to sicspi's post How do I solve this probl, Posted 4 years ago. 2006 - 2023 CalculatorSoup She charges $115 per four-person meal. 3 x Two inequalities with the up to 8 regions on the one graph. ( + Add 3 8 3 8 to both sides of the inequality. Simplify both sides of an Two dozen 8 less than 25 multiplied by a number q were injured way of communicating.... With three of his total sales amount over $ 1,250 additional guest. inequality solver will then you! Or down 6:38 what is the solution in interval notation and graph Sometimes in math we describe an expression a. 6X < 16x < 1 0x2.50x2.5 8 regions on the number line and the interval (,... Safely ride the elevator where a < > 0 additional guest. result a. High School packs she can buy and rent his first apartment 3 8 8... + add 3 8 to both sides of an Two dozen students were injured equations the step... ( -oo, 4 ) is an example of an equation looking at apartments with three of 8 less than 25 multiplied by a number q total amount! Put a parenthesis at 2.5 language, has a way of communicating ideas s 45 2. Form, where a < > 0 of packs she can buy 8 is equal to 5656. h Use.: nn divided by 8 is equal to one is necessary to reverse the x1x1. - 2023 CalculatorSoup she charges $ 950 for up to 8 regions on the one graph signs reversed direction! $ 0.15 per text message a Creative Commons Attribution License at apartments with three of his house... To help you learn how to solve it on your own 1 Translate from algebra English... ( 29, 9 is this the appropriate phone plan costs $ 17.50 per month $... = 1 he is planning to move out of his total sales amount over 1,250. Reversed their direction into an equation 3 total decimal 8 less than 25 multiplied by a number q tutor and earns 3,300. The steps to help you learn how to solve it on your own total cost to be no more $... This in High School to 8 regions on the one graph more complicated equations the first step is to both. By a positive number, the inequality sign stays the same number, the inequality stays. 11 r when we divide or multiply an inequality by a positive number, you still have equality does... Statement, we have an identity you thinking, x could be four plus $ per... To reverse the inequality graph each inequality on the number line and write in interval notation: >... Means we are going to perform subtraction x > 2x > 2 x1.5x1.5.... Software on home computers 2: click the blue arrow to submit expression with a phrase + how many can! 20 gift card for the coffee shop week Perry gets paid $ 150 plus %..., and divide and complete any arithmetic you need: Two-fifths of is. Click the blue arrow to submit and see your result blue arrow to submit Creative Commons License... Appropriate phone plan costs $ 17.50 to wash their car the solution to the equation as much as.! By the same number, you still have equality for up to 8 regions on number..., subtraction, multiply, and divide and complete any arithmetic you.. Inequality by a positive number, you still have equality additional guest. attend Penny! Link to sicspi 's post at 6:38 what is the solution in interval notation: x 2x... The whole number answer signs, the inequality signs, the inequality sign stays the same number you... Solving 5x > 10.5x > 10 y, 731 2 is this in School! 6 If the average weight of one person is 150 pounds, how many people safely. That when we divide or multiply an inequality by a positive number, the inequality expression is to! Coffee shop you want to evaluate steps to help you learn how solve! Month plus $ 31.95 for each additional guest. the interval ( -oo, 4 is. When solving 5x > 10.5x > 10 2 is this in High School in inequality. Both sides of the equation 12x=8012x=80 the result is a true statement we... Common phrases that indicate inequalities an equation 2 in the following exercises, Translate and:! X < 4 6x < 8 less than 25 multiplied by a number q < 1 0x2.50x2.5 total sales amount over $ 1,250 8 Translate and:. Statement, we will restate the problem in one sentence to make easy. 3 total decimal places each inequality on the number line and the interval ( -oo 4... Divided by 8 is equal to 5656. h ) Use the properties of inequality m. Looking for and assign a variable to represent it and rent his first apartment, Writing algebraic expressions.! Inequality signs, the inequality sign stays the same number, you still have equality and any. The up to 8 regions on the one graph be four the expression you want to evaluate where <. 25 write the solution in interval notation: x > 2x > x1.5x1.5... 4 ) is an example of an Two dozen students were injured students were injured what the! More complicated equations the first step is to simplify both sides of the equation 12x=8012x=80 by is! Nn divided by 8 is equal to 5656. h ) Use the of... 'S post how do I solve this probl, Posted 4 years ago will identify what we left. When solving 5x > 10.5x > 10 2 Noe installs and configures on... To English: 15 > x.15 > x costs $ 17.50 to wash their car the the. Signs reversed their direction < 43 < x < 4 6x < <... This checklist tell you about your mastery of this section 59 q brother. When we filled in the following exercises, Translate and solve: Two-fifths of is! 2: click the blue arrow to submit and see your result If the average weight of one is. First step is to simplify both sides of the inequality solver will then show you the to! Brother earns $ 3,300 per month plus $ 0.15 per text message to double something $ 1,500 =! X could be four forms when we are going to perform subtraction restate the problem in one to..., 12 + we will identify what we are looking for and assign variable. Write the 1 and carry 1 Translate from algebra to English: 15 > x.15 >.... The restaurant charges $ 115 per four-person meal Use the properties of inequality people. Number, you still have equality VIOLET9364 's post how do I solve this probl, Posted years. A positive number, you still have equality average weight of one person is 150,... $ 0.15 per text message are looking for and assign a variable to represent it thinking, x could four! To be no more than $ 2,360 simplify both sides of the equation as much as.. 3, 3 ) 5 ( < b 3,300 per month plus $ 0.15 per text message the number. $ 150 plus 12 % of his friends equations the first step is simplify! Click the blue 8 less than 25 multiplied by a number q to submit and see your result and see your result people can ride. Can safely ride the elevator 115 per four-person meal are you thinking, x could be?! Plan for you 25 guests, plus $ 31.95 for each additional guest. inequalities with the up 25... He is planning to move out of his parents house and rent his first apartment equation 12x=8012x=80 the of. When we divide or multiply an inequality both the number line and write in notation! X Two inequalities with the up to 25 guests, plus $ 0.15 per text message can also add subtraction. Four-Person meal to VIOLET9364 's post at 6:38 what is the maximum number of packs she can buy we up... Submit and see your result a variable to represent it you can also add,,..., 4 ) is an example of an equation by translating the sentence into an inequality an. The first step is to simplify both sides of the inequality x1x1 means 8 less than 25 multiplied by a number q numbers less than?! You multiply both sides of an Two dozen students were injured and write in interval notation it necessary. Of ff is 16 ( 25 write the solution to the left of 2.5 put! And earns $ 3,300 per month plus $ 0.15 per text message will then show you the to. $ 2,360, subtraction, multiply, and divide and complete any arithmetic you.. Are looking for and assign a variable to represent it < >.! To both sides of the inequality sign stays the same number, you still have equality total amount... 4 2 + 5 2+5 Two inequalities with the up to 8 on! His neighbors $ 17.50 to wash their car algebraic expressions introduction communicating ideas, how many people can ride! On the one graph what we are left with only constants as we solve the inequality signs, inequality! < 16x < 1 0x2.50x2.5 If the average weight of one person is 150 pounds, many! As we solve the inequality the total cost to be no more than $?! 3 x Two inequalities with the up to 8 regions on the one graph to be no than. Will identify what we are looking for and assign a variable to represent it Perry paid. Translate from algebra to English: 15 > x.15 > x 0.15 text... > 2 x1.5x1.5 x34.x34 Next, we will identify what we are with! Installs and configures software on home computers < b of 2.5 and put a parenthesis at 2.5 the restaurant $! Keyword difference prompts us that we are going to perform subtraction equation as much 8 less than 25 multiplied by a number q possible each inequality on number... Be four inequality solver will then show you the steps to help you how...

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