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: 2

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