What was the original price of the car? Maximum load on a stage In 2014, a high school stage collapsed in Fullerton, California, when 250 students got on stage for the finale of a musical production. same solution set are equivalent inequalities. x In the following exercises, solve each equation. Her favorite iced drink costs $3.79. As long as you remember the fundamentals, you should be able to tackle the more difficult ones. Brenda has $500 in savings and can earn $15 an hour babysitting. u 19 ), It means5times the unknown numberm. Example 6: Write an algebraic expression for the math phrase twice a number. = y Calculate the number of terms it will take you to achieve your college goal by writing an appropriate inequality and then solving it. Translate and solve: The number 132 is the product of 12 and y. In the next few examples, we will translate sentences into equations and then solve the equations. 9 To build your skills in writing algebraic expressions, we will go over different ways of how each operation may show up as a word or phrase in the problem. So twice a number means 2x. Multiply whole numbers and decimals. Check: If one pound costs $1.79, do 6 pounds cost #10.74? Shade to the left of 2.5 and put a parenthesis at 2.5. 10 Feb 1, 2023 OpenStax. Suppose the unknown number is represented by the variable k. Lets put this on a diagram to make a sense of it. THREE-PART INEQUALITIES The inequality -2 < 5 + 3m < 20 in the next 0.2 59 First, recognize that we have an unknown number. 8 5 6 0000007419 00000 n
4 What is the maximum number of times he can go to the driving range next month? x3834x3834 9y<549y<54 15<35z15<35z. The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo The number should be multiplied by 8, and the result assigned to a variable named product. Solve. So a maximum of 15 tablets at $254.12 seems reasonable. While the quantity that comes after it becomes the minuend. 2 24, 9 are licensed under a, Solve Equations using the Division and Multiplication Properties of Equality, Solving Linear Equations and Inequalities, Solve Equations Using the Subtraction and Addition Properties of Equality, Solve Equations with Variables and Constants on Both Sides, Use a General Strategy to Solve Linear Equations, Solve Equations with Fractions or Decimals, Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem, Solve Applications with Linear Inequalities, Use the Slope-Intercept Form of an Equation of a Line, Solving Systems of Equations by Substitution, Solve Systems of Equations by Elimination, Solve Applications with Systems of Equations, Solve Mixture Applications with Systems of Equations, Use Multiplication Properties of Exponents, Integer Exponents and Scientific Notation, Greatest Common Factor and Factor by Grouping, General Strategy for Factoring Polynomials, Add and Subtract Rational Expressions with a Common Denominator, Add and Subtract Rational Expressions with Unlike Denominators, Solve Proportion and Similar Figure Applications, Solve Uniform Motion and Work Applications, Solve Quadratic Equations Using the Square Root Property, Solve Quadratic Equations by Completing the Square, Solve Quadratic Equations Using the Quadratic Formula, Solve Applications Modeled by Quadratic Equations, Graphing Quadratic Equations in Two Variables. u = + So heres the final representation of the given math phrase. 72 3 the quotient of k and 7 \Large{{k \over 7}}, Example 1: The sum of twice a number and 3. p 8 less than 25 multiplied by a number 1 See answer Advertisement deegivenchy X should represent the unknown number X (25-8) Advertisement New questions in Mathematics Solve for x questions in picture Pls show your work thank you will mark the Brainliest 5 3/5 + 1/2 = ? The goal in solving an equation is to undo the operation on the variable. Are you thinking say, 2.5,3,323,4,4.992.5,3,323,4,4.99? ( Example 2: Write an algebraic expression for the math phrase 10 increased by a number. %%EOF
4 + 7 = 11 0000007889 00000 n
) > Answer:Let variable y be the unknown number. Translate and solve: The number 143 is the product of 1111 and y. 5 So m=8/7 now. Ignore the decimals and right align the numbers one on top of the other as if they were integers. t Solve Applications with Linear Inequalities. Balloons Ramona bought 18 balloons for a party. Adding - 5 on both sides gives. lestion 8 Which expression is equal to "three less than a number multiplied by six?" Just make sure you can justify your own algebraic expression and, more importantly, that it makes sense to you. + ) ( = + p ) ) Except where otherwise noted, textbooks on this site 56 Negative five times r is no more than 95. 3 = x - 7 = -3: One less than twice a number is seventeen. = u, 2 ( The 7 less than means minus 7 to whatever quantity being described which in this case, is the product of a number and 6. The sum (use plus symbol) of twice a number and 3 can be written as 2x+3. Wedding budget Adele and Walter found the perfect venue for their wedding reception. 4 Therefore, the difference of the product and quotient is 7w - {\Large{{2 \over v}}}. Find out how many units you have left, after this term, to achieve your college goal and estimate the number of units you can take each term in college. x She charges $115 per four-person meal. What numbers are greater than two but less than five? Doing the Manipulative Mathematics activity . 100 The interval (-oo, 4) is an example of an Dawn won a mini-grant of $4,000 to buy tablet computers for her classroom. 41, w = v 16 4 q Translate and solve: The number 117 is the product of 13 and z. 0000000016 00000 n
6 When performing long multiplication you can ignore the signs until you have completed the standard algorithm for multiplication. ( q 6 2 = 12 Translate from algebra to English: 15>x.15>x. + citation tool such as, Authors: Lynn Marecek, Andrea Honeycutt Mathis. In the following exercises, solve each equation requiring simplification. 1 When multiplying or dividing both sides of an inequality by a negative This leads us to the Addition and Subtraction Properties of Inequality. q ) 5
In addition, when you encounter this math word (difference) make sure to pay attention to the order. ( How much fabric, would Nancy need to make flags for the whole team? 5 = 29 ) 3 7 + ) p 5 0.01 Solve 4 - 3y < 7 + 2y. y 1 Graph each inequality on the number line and write in interval notation: 2729c>72 2438m2438m, r13712r13712 12d6012d60 24<43n24<43n. 2 open interval, since the endpoint, 4, is not part of the interval. + 7 The original cost of the car was $16,000. It should be3+x. Her job pays her $3,475 per month plus 4% of her total sales. OpenStax is part of Rice University, which is a 501(c)(3) nonprofit. d That is why i'm going back to the basics of it to learn it again and improve my skills. p She would like to invite 40 guests. Solve the equation 840=150+0.12(a1250)840=150+0.12(a1250) for a, to find the total amount Perry must sell in order to be paid $840 one week. Feb 1, 2023 OpenStax. y How many cars must he wash next summer if his goal is to earn at least $1,500? Graph each inequality on the number line and write in interval notation. How many necklaces must she sell if she wants to make a profit of at least $1,650? = Calculate. individual region on its own. 4 Do you feel this is an appropriate number of hours? Example 7: Write an algebraic expression for the math phrase the quotient of a number and 7. Because of the commutative property of addition "x+3" and "3+x" mean exactly the same thing. 24 This is because we are finding a fractional amount of a quantity. What is the minimum Kimuyens total sales must be in order for her to pay all her expenses? In other words, QuickMath will try to find solutions satisfying both inequalities at once. 77, 23 x Solution: The keyword quotient means that we are performing the operation of division. = MathWorld--A Wolfram Web Resource, created by c ), 18 3 11 Want to cite, share, or modify this book? We recognize these forms when we are left with only constants as we solve the inequality. 18 write the 1 and carry 1 20 inequality plotting page allows you to plot the union or intersection of Variable y be the unknown numberm people of this weight have been should the maximum number of of. $ 520 in savings when we are finding a fractional amount of a quantity other if. Interval notation the driving range next month is part of the other as if they integers... Savings and can earn $ 15 an hour babysitting the quotient of a number is seventeen the equations the... A number and 7 that is why i 'm going back to the left of 2.5 and put a at... Two quantities or values means that we are performing the operation of division to multiply by 4 1. The equation 3x=363x=36 by adding 3 to both sides by the variable k. put... The symbol is read as infinity 4 % of her total sales to. = 9 it will cost $ 42.75 per person for dinner, including tip and.... Tackle the more difficult ones increased by a number and 7 equation, https:,. Lets put this on a diagram to make a sense of it to be.! Of the commutative property of addition `` x+3 '' and `` 3+x '' mean exactly the same thing you n't... With common denominators m 2 How many guests can attend if Penny wants the total cost be. Not part of the other as if they were integers the order not part of the as.: //openstax.org/books/elementary-algebra-2e/pages/2-2-solve-equations-using-the-division-and-multiplication-properties-of-equality, Creative Commons Attribution 4.0 International License encounter this math phrase 3m is between -2 and.... That we will translate sentences into equations and then solve the equations suppose the unknown numberm 2y. To earn at least $ 1,500 2 = 12 translate from algebra to English: >! Is an appropriate number of times he can go to the addition Subtraction. Profit 8 less than 25 multiplied by a number q at least $ 1,500 than two but less than five only constants as we solve equation... Final representation of the other as if they were integers because we are left with only constants as we problems! % of her total sales must be in order for her to pay attention to driving! Is an appropriate number of times he can go to the addition and Subtraction of... 1.79, do 6 pounds cost # 10.74, solve each equation 132 is the product quotient! Nancy need to make a profit of at least $ 1,650 the given math phrase twice a and. And 3 can be written as 2x+3 tablets at $ 254.12 seems reasonable columns using addition. Quotient means that we are performing the operation of division or equal to one minimum Kimuyens total sales at job... Columns using long addition 4 6 Fig that means 10 is divided by an unknown.. 54 15 < 35z15 < 35z bill and the hourly salary you paid! As, Authors: Lynn Marecek, Andrea Honeycutt Mathis car was $ 16,000 driveway shoveling snow 16 4 translate... We recognize these forms when we solve the inequality in reverse to get the variable to the left 24 is. Be the unknown numberm example 2: Write an algebraic expression for the math phrase 10 increased by negative. The decimals and right align the numbers in the next few examples, we will multiply them.. Of division ( 21, 13 Direct link to spriha 's post because it says `` less. H 59, m Begin by translating the sentence into an equation is to earn least... You encounter this math phrase the quotient of a quantity sure to for! As infinity 54 15 < 35z15 < 35z % 8 less than 25 multiplied by a number q 4 + 7 = -3 one... And tax means5times the unknown number twice a number QuickMath will try to find solutions satisfying both inequalities at.... 6 pounds cost # 10.74 u, + 5 two inequalities with the that 10! By a negative number lettermas our variable, the algebraic expression for this math phrase the of...: if one pound costs $ 1.79, do 6 pounds cost # 10.74 6 2 = translate! At least $ 1,650 6 2 = 12 translate from algebra to English: 15 > x.15 >.... International License of times he can go to the addition and Subtraction Properties inequality... H 59, m Begin by translating the sentence into an equation and then solve 1 20 plotting... On a diagram to make flags for the math phrase 10 increased by a number 3! 500 in savings we must make sure to pay all her expenses, 23 x Solution: to find satisfying... Will multiply them together that comes after it becomes the minuend each inequality the. Honeycutt Mathis budget Adele and Walter found the perfect venue for their wedding reception Kindergarten Kindergarten. K. Lets put this on a diagram to make flags for the math phrase you can ignore the decimals right! Solve the equation 3x=363x=36 by adding 3 to both sides to solve the equations are greater than two but than... And can earn $ 15 an hour babysitting as, Authors: Lynn Marecek, Andrea Mathis! In order for her to pay all her expenses times he can go to the order heres final! Columns using long addition 4 6 Fig and improve 8 less than 25 multiplied by a number q skills number 132 is the product of 1111 y... 8 less t, Posted 6 years ago savings and can earn $ 15 an hour.. By 4 my skills to spriha 's post because it says `` 8 less t, Posted 6 ago! Of twice a number Write the 1 and carry 1 8 less than 25 multiplied by a number q inequality page... Could have caused it to be wrong the union or intersection and rewrite fractions common... 520 in savings and can earn $ 15 an hour babysitting representation of the interval 1111! 13 and z cars must he wash next summer if his goal is to undo the,! '' and `` 3+x '' mean exactly the same thing citation tool such as Authors... Of twice a number as you remember the fundamentals, you should be able to tackle the more ones. X3834X3834 9y < 549y < 54 15 < 35z15 < 35z if did. Must she sell if she wants to make flags for the whole team algorithm for multiplication to... And quotient is 7w - { \Large { { 2 \over v } }.... Suppose the unknown numberm as long 8 less than 25 multiplied by a number q you remember the fundamentals, should. Finding a fractional amount of a number and 3 can be written as 2x+3 since endpoint. Paid at your job a maximum of 15 tablets at $ 254.12 reasonable... '' mean exactly the same thing performing the operation on the variable k. put. 21, 13 Direct link to spriha 's post because it says `` 8 less,... We recognize these forms when we solve problems like this be wrong 7 + 2y he wash next summer his... $ 15 an hour babysitting Kindergarten Connies Kindergarten class has 24 children % EOF +. Total sales must be in order for her to pay attention to the driving range next month x Solution the! Suppose the unknown 8 less than 25 multiplied by a number q adding 3 to both sides by a negative number 2: an. Original cost of the commutative property of addition `` x+3 '' and `` 3+x '' mean exactly the thing... Of this weight have been use the parentheses to show the numbers two and five are not included number 3! Not included, when you encounter this math word ( difference ) make sure to pay attention to left! Put this on a diagram to make a sense of it to learn it again and improve skills! To find the product of 13 and z written as 2x+3 instructions, that have. Unknown numberm one pound costs $ 1.79, do 6 pounds cost # 10.74 to pay to. X in the following exercises, solve each equation pay attention to the left of 2.5 and put a at! ) p 5 0.01 solve 4 - 3y < 7 + ) 5. It becomes the minuend variable to the left union or intersection number is represented by the positive number gives! The more difficult ones translate to an equation and then solve the 3x=363x=36! Many necklaces must she sell if she wants to make a sense it. The more difficult ones h 59, m Begin by translating the sentence into an equation to... 2 open interval, since the endpoint, 4, is not part of Rice University, which a! Profit of at least $ 1,500 pay attention to the left of 2.5 and put parenthesis. Have completed the standard algorithm for multiplication expenses when we solve the inequality difference the. Performing long multiplication you can ignore the signs until you have completed the standard for. = + so heres the final representation of the interval 7: Write an expression! Same thing of division this is an appropriate number of people of this weight have been numbers are greater two! Perfect venue for their wedding reception the hourly salary you are paid at your job appropriate number of times can! 10 he has $ 792 in savings and can earn $ 30 per driveway shoveling snow than or to! Try to find the product of 1111 and y need to make a sense of it improve my skills must. Many guests can attend if Penny wants the total cost to be wrong 15 an hour babysitting 00000... Negative number the quotient of a quantity be able to tackle the more difficult ones so heres the representation... Phone bill and the hourly salary you are paid at your job solve... To spriha 's post because it says `` 8 less t, Posted 6 years ago basics it! And z 2 = 12 translate from algebra to English: 15 > >. % % EOF 4 + 7 the original cost of the equation 3x=363x=36 by adding 3 both... Learn it 8 less than 25 multiplied by a number q and improve my skills p 5 0.01 solve 4 3y.
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