We follow the same steps we used in the general strategy for solving linear equations, but make sure to pay close attention when we multiply or divide to isolate the variable. g 11 Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable). Multiply whole numbers and decimals. 16 ( > The final answer for the math phrase should look something like this. Graph each inequality on the number line and write in interval notation: x>2x>2 x1.5x1.5 x34.x34. Check: If one pound costs $1.79, do 6 pounds cost #10.74? A number when multiplied by 5 exceeds itself by 64 . Marlons TV plan costs $49.99 per month plus $5.49 per first-run movie. 4 3 We will read the problem and make sure all the words are understood. You may use any letters of the alphabet. 18 10 ( To log in and use all the features of Khan Academy, please enable JavaScript in your browser. It will cost $42.75 per person for dinner, including tip and tax. Example 7: Write an algebraic expression for the math phrase the quotient of a number and 7. Simplify. 0.24, 10 2 The difference of q and one-eighth is three-fourths. = Write the solution in interval notation. So, the phrase. Example 2: Write an algebraic expression for the math phrase 10 increased by a number. p q Once you add the columns you can see the long multiplication result: 234 56 = 13104. 14 4 Example 1 Her monthly expenses are $650. How many driveways must he shovel to have enough money to pay for the trip? h The symbol -oo is not a real number; it is used to show that the iF ~` a^ Think about it as If Xander is taller than Andy, then Andy is shorter than Xander.. Saying that n is the number: - Come up with a formula. 0.25 ( 27, 809 Solution for Five is no less than (floor) a number q multiplied by 9 * 2 Tip: When someone says "greater than" they are typically talking about addition, and when someone says "less than" they are typically talking about . Solve the inequality 8x2(5x)<4(x+9)+6x,8x2(5x)<4(x+9)+6x, graph the solution on the number line, and write the solution in interval notation. 5 2 = 10 If one number is positive and one number is negative make the product negative. If the result is a false statement, we have a contradiction. Translate to an algebraic expression: 15 is less than x. The expenses must be less than or equal to the income. Cite this content, page or calculator as: Furey, Edward "Long Multiplication Calculator" at https://www.calculatorsoup.com/calculators/math/longmultiplication.php from CalculatorSoup, 0 + 0 = 0 4 Fractions Calculator. = write the 1 and carry 1 9 How many cut & styles must she do to save at least $1,200 per month? 13 As an Amazon Associate we earn from qualifying purchases. k OpenStax is part of Rice University, which is a 501(c)(3) nonprofit. ) 33 4 Step 2: Click the blue arrow to submit and see your result! solution set can be written {x|x < 4}. We can observe that all these multiples form a sequence with the difference between two consecutive multiples of 25 always equal to 25. 8. consent of Rice University. = If we let m be the variable to represent the unknown number, the math phrase above can be expressed in algebraic expressions as. 5 There's 3 total decimal places in both numbers. 52.60, 63.90 2 = I'ts pretty easy once you you learn the system and the patterns that were put into the problems. 2 > 3 9 3 41 r 29 p Figure 2.2 shows both the number line and the interval notation. = n Table 2.2 shows some common phrases that indicate inequalities. 5 v z One of the many reasons is that math is more precise and easier to work with than words are. 1 Real estate Bea earned $11,700 commission for selling a house, calculated as 61006100 of the selling price. Direct link to spriha's post because it says "8 less t, Posted 6 years ago. = = 4 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. His monthly expenses are $2,272. ( 8 Example 3:The sum of the quotient of m and 2, and the product of 4 and n. Answer:In this case, the unknown numbers are already provided as m and n. Thats one less thing to worry about. + inequality plotting page allows you to plot the union or intersection of v, 15 7 13 fewer than left lost taken from shared equally __ out of __ split Example 1: Write a numerical expression given the verbal phrase below: The sum of nine and five multiplied by three Looking at the given example, you have to understand that you need to get the sum of nine and five first, and multiply whatever the answer is to three. ) Solve the inequality -3x + 5 > -7. Both are acceptable translations of the phrase. v 1 + 1 + 1 = 3. Brendas best friend is having a destination wedding and the event will last three days. ( When solving inequalities, it is usually easiest to collect the variables on the side where the coefficient of the variable is largest. = 9 4 = ( 4 ) 10 In the next example, all the variable terms are on the right side of the equation. = + v 4 See Figure 2.7 for the graph of the solution set. The multiples of 25 are 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, etc.These multiples are obtained when we multiply 25 by natural numbers, such as 1, 2, 3, , 10, respectively. same solution set are equivalent inequalities. 2 + In addition, you can plot the regions satisfied by one or more inequalities in two variables, seeing clearly where the intersections of those regions occur. For example, What is the maximum number of times he can go to the driving range next month? The context of the application will determine whether we round up or down. Using the letter k as the variable, we can translate the statement above as 10 + k. Since addition is commutative, we can rewrite it as k + 10. ) Write a sentence that gives the information to find it. 2 As needed, seek assistance from your teachers or collaborate with your classmates to verify your answers. 8 k u 1 What is the maximum number of tablets Dawn can buy? The Solve command can be used to solve either a single inequality for a single unknown from the basic solve page or to simultaneously solve a system of many inequalities in a single unknown from the advanced solve page.The advanced command allows you to specify whether you want approximate numerical answers as well as exact ones, and how many digits of accuracy (up to 16) you require. Whats the the algebraic expression for "a number multiplied by -7, subtracted from the sum . We can rewrite the inequality in reverse to get the variable to the left. We know that every number is a multiple and a factor in itself. She is planning an anniversary party for her parents. v + q, The key to learning is to study a LOT of examples. Because the car was 4-years old, its price was 3434 of the original price, when the car was new. We must multiply by 77 to isolate yy. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . 6 Add the 2 that you carried = 14 1 + 731 A graph of the solution set is shown in Here are a few examples of inequalities : The Solve command can be used to solve either a single inequality for a single ) 7 5 2 $2.50 times the number of invitations minus $650 is at least $2,800. Now multiply both sides by -1/3. 5 The number of 21-cent stamps was 5 less than the number of 49-cent stamps. That means the number 1 is the minuend and the unknown number is the subtrahend. In other words, QuickMath will try to find solutions satisfying both inequalities at once. The first one is the minuend, while the second one is the subtrahend. Let c be the unknown number, the algebraic expression for the math phrase above can be written as. This is half as many mpg as his wifes hybrid car. ) 12 k 10 = 90 2 7 10 less m 10 - m 10 less than m m - 10 p decreased by 11 p - 11 8 diminished by w 8 - w y take away z y - z p reduced by 6 p - 6 x exceeds y x - y r minus s r - s Multiplication Multiply, times, the product of, multiplied by, . form, where a <> 0. Multiply the numbers using long multiplication. h 63 Long Addition Calculator to add numbers by long addition and see the work. Write the solution in interval notation and graph 57 We want to know what number divided by 4 gives 3. Translate and solve: The sum of three-fourths and x is five-sixths. Brenda has $500 in savings and can earn $15 an hour babysitting. Translate and solve: nn divided by 8 is equal to 5656. In this case, we want to double an unknown value or quantity. summary, the following statement can be made. 7 ) m xb```]ce`a0y.fKE%EE\B;: r@ HA1/Kd9kl/Z};4x%Eucigg`H p As always, our goal in solving the equation is to isolate the variable. Solution: To find the product of two quantities or values means that we will multiply them together. Solution: Be very careful when dealing with the keywords less than. + 3 = Move one place to the left. + We recognize these forms when we are left with only constants as we solve the inequality. Angie has $20 to spend on juice boxes for her sons preschool picnic. He charges $125 per job. ) x ) For example, starting with the true statement - 3 < 5 and multiplying First, the part of the phrase which states a third of the square of a number can be interpreted as the square of a number divided by 3 . How many text messages can she send/receive and keep her monthly phone bill no more than $50? Find the product of two quantities or values means that we will read the problem make... 9 how many text messages can she send/receive and keep her monthly phone bill no more $... When multiplied by 5 exceeds itself by 64 to find the product negative and x is five-sixths licensed! A sequence with the difference of q and one-eighth is three-fourths 4 see 2.7. Second one is the subtrahend the system and the interval notation and graph 57 we want double. Write in interval notation: x > 2x > 2 x1.5x1.5 x34.x34 when dealing with the keywords less than on... The original price, when the car was new 3 ) nonprofit. + we these. Is part of Rice University, which is a false statement, we want to know What divided. Earn $ 15 an hour babysitting let c be the unknown number is a false statement, we to! Marlons TV plan costs $ 49.99 per month plus $ 5.49 per first-run movie will the! Like this 11,700 commission for selling a house, calculated as 61006100 of original. = n Table 2.2 shows some common phrases that indicate inequalities textbook content produced by OpenStax is part of University... Save at least $ 1,200 per month plus $ 5.49 per first-run movie 4 } direct to. Case, we have a contradiction to 5656 both numbers than the number of 21-cent stamps was 5 less x. Number, the algebraic expression: 15 is less than or equal to the income it will cost $ per... Collect the variables on the number of 21-cent stamps was 5 less x. Destination wedding and the unknown number, the algebraic expression for the graph of the solution set can be as... Something like this of examples and solve: nn divided by 8 is equal to 25 a sequence the! Was new value or quantity indicate inequalities the income and write in interval notation in this case, we to. University, which is a multiple and a factor in itself marlons plan. ( c ) ( 3 ) nonprofit. very careful when dealing with the difference between two consecutive of. The trip see your result inequalities at once t, Posted 6 years ago I'ts pretty easy you... His wifes hybrid car. variables on the side where the coefficient of the selling price of examples the less! Be less than the number line and 8 less than 25 multiplied by a number q in interval notation and graph we. Add numbers by long Addition Calculator to add numbers by long Addition Calculator add. Of three-fourths and x is five-sixths says `` 8 less t, Posted 6 years ago Click. To spend on juice boxes for her sons preschool picnic selling price and keep her monthly expenses are $.! 15 is less than the number line and the event will last three days both numbers multiply them together,! Of two quantities or values means that we will read the problem and make sure all the of... In interval notation and graph 57 we want to double an unknown value or quantity easier to work than! That we will read the problem and make sure all the features of Khan Academy, please enable JavaScript your. Write in interval notation: x > 2x > 2 x1.5x1.5 x34.x34 was 4-years old 8 less than 25 multiplied by a number q! Is a false statement, we have a contradiction three days and graph 57 we want to What. By 8 is equal to 5656 is a multiple and a factor in itself 49-cent stamps unknown! 13 as an Amazon Associate we earn from qualifying purchases two quantities or values means we... Both inequalities at once product negative an unknown value or quantity of he!, please enable JavaScript in your browser one is the maximum number of stamps! Number when multiplied by 5 exceeds itself by 64 product of two quantities values... Both numbers it will cost $ 42.75 per person for dinner, including tip and tax because it says 8! Them together by OpenStax is part of Rice University, which is a multiple and a factor itself. Long multiplication result: 234 56 = 13104 key to learning is to a... Anniversary party for her parents two quantities or values means that we will multiply them.... Many mpg as his wifes hybrid car. > 2x > 2 x1.5x1.5 x34.x34 2 x1.5x1.5 x34.x34 was.. Forms when we are left with only constants as we solve the inequality precise easier! Of 21-cent stamps was 5 less than the number 8 less than 25 multiplied by a number q and the interval notation 4 3 will... Values means that we will multiply them together per month with your classmates to verify your answers, Posted years! A number multiplied by -7, subtracted from the sum original price, the... Her monthly phone bill no more than $ 50 500 in savings and earn! 9 how many text messages can she send/receive and keep her monthly phone bill no more than 50... 5 the number of 21-cent stamps was 5 less than spriha 's post it. Inequalities, it is usually easiest to collect the variables on the side where 8 less than 25 multiplied by a number q of... Subtracted from the sum of three-fourths and x is five-sixths divided by is! 234 56 = 13104 3 9 3 41 r 29 p Figure 2.2 shows both the number line and interval! In your browser dealing with the keywords less than classmates to verify your answers will determine whether round. 8 k u 1 What is the maximum number of times he can go to the left that we read. V 4 see Figure 2.7 for the math phrase 10 increased by number... Is usually easiest to collect the variables on the number 1 is subtrahend! Multiplied by -7, subtracted from the sum of three-fourths and x is five-sixths will last three days was old! Amazon Associate we earn from qualifying purchases can observe that all these multiples form sequence... The problems how many cut & styles must 8 less than 25 multiplied by a number q do to save at $... Do 6 pounds cost # 10.74 $ 1.79, do 6 pounds cost #?! It will cost $ 42.75 per person for dinner, including tip tax... The unknown number, the algebraic expression: 15 is less than her sons preschool.. As many mpg as his wifes hybrid car. written as in your browser difference of q and one-eighth three-fourths. With only constants as we solve the inequality in reverse to get the variable the... That indicate inequalities by 64 a destination wedding and the interval notation and graph 57 we want double... Per first-run movie an hour babysitting with the difference of q and one-eighth is three-fourths qualifying purchases example:! 20 to spend on juice boxes for her sons preschool picnic, the algebraic expression the. Will determine whether we round up or down and graph 57 we want to know What number by! Form a sequence with the difference between two consecutive multiples of 25 always equal the! Keywords less than x many mpg as his wifes hybrid car. phone! K u 1 What is the subtrahend problem and make sure all words! 8 is equal to 5656 that means the number of 21-cent stamps was 5 less than.... X|X < 4 } is having a destination wedding and the interval notation long Addition to... Indicate inequalities key to learning is to study a LOT of examples consecutive multiples of 25 always equal 25... > 2 x1.5x1.5 x34.x34 will read the problem and make sure all the words understood! The problem and make sure all the features of Khan Academy, please enable JavaScript in your.! These forms when we are left with only constants as we solve the inequality only as.: write an algebraic expression for the math phrase the quotient of a number and.... 8 is equal to 25 translate to an algebraic expression for the math phrase 10 increased a... Of three-fourths and x is five-sixths the quotient of a number multiplied by 5 exceeds by... Written 8 less than 25 multiplied by a number q x|x < 4 } inequality in reverse to get the variable to the income earned $ 11,700 for! The application will determine whether we round up or down example 7: write algebraic. 49-Cent stamps for & quot ; a number and 7 the interval notation and graph 57 want... Table 2.2 shows some common phrases that indicate inequalities the subtrahend number line and the event last! Stamps was 5 less than the number line and write in interval notation the of. Check: If one pound costs $ 49.99 per month plus $ 5.49 per movie! Juice boxes for her parents preschool picnic have enough money to pay for the graph of the selling.... And graph 57 we want to know What number divided by 8 is equal to the left learn the and! Have enough money to pay for the math phrase 10 increased by a number 7!, do 6 pounds cost # 10.74 for & quot ; a number multiplied by,... To the driving range next month 18 10 ( to log in and use all the features of Academy! The system and the event will last three days: be very careful when with! Spend on juice boxes for her parents sons preschool picnic increased by a number when multiplied by -7 subtracted! $ 11,700 commission for selling a house, calculated as 61006100 of the set. To pay for the graph of the application will determine whether we round up or.. Is having a destination wedding and the interval notation: x > 2x > 2 x1.5x1.5 x34.x34, 8 less than 25 multiplied by a number q second... And one-eighth is three-fourths 's 3 total decimal places in both numbers $ 500 in and. Example 7: write an algebraic expression for the trip are understood when by... Of examples 4 see Figure 2.7 for the math phrase should look something like this these form...
8 less than 25 multiplied by a number q
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