algebra word problems examples and answers

The least of the 3 consecutive numbers is “$n$“, and the greatest is “$n+2$”. (Put in real numbers to check this). 1260 ounces of solution Z contains 438 ounces of ingredient a. The problems here only involve one variable; later we’ll work on some that involve more than one. Math Word Problems and Solutions - Distance, Speed, Time. $\displaystyle \begin{align}n+n+2&=60\\2n+2&=60\\2n&=58\\\frac{{2n}}{2}&=\frac{{58}}{2}\end{align}$, $\displaystyle n=29\,\,\,\,\,\,n+1=30\,\,\,\,\,\,n+2=31$. We could have also multiplied both sides by 5 to get rid of the fraction. Basic Word Problems - Sample Math Practice Problems The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. Write down what you need to find, or else underline it in the problem, so that you do not forget what your final answer means. Then $10-J$ equals the number of pounds of the chocolate candy. What is the minimum number of hours Erica must study in order to be eligible for her work-study program? 2. If you can solve these, you can probably solve any algebra problems. Percentage word problems Profit and loss word problems Markup and markdown word problems Decimal word problems. How many pounds of each should be used to make a mixture of 10 pounds of candy (both kinds) that sells for $80? problem and check your answer with the step-by-step explanations. To see how many students would have to attend to keep the cost at $15 per person, solve for $x$: $\displaystyle \frac{{500}}{x}+5\le 15;\,\,\,\,\frac{{500}}{x}\le 10;\,\,\,\,500\le 10x;\,\,\,\,x\ge 50$. Math Word Problems. Let’s check: the ratio of 20 to 8 is the same as the ratio of 5 to 2 (each is divided by 4 – the multiplier!) Sign up today! Find below a wide variety of hard word problems in algebra. When you see these, you always have to assign “$n$” to the first number, “$n+1$” to the second, “$n+2$” to the third, and so on. On the weekend Sam played 4 more games than Alex did, and together they played 12 games. $x\le y\le z$ (inclusive) \(x math > grade 5 math concepts up and solve inequalities like we did here.! Equations, percent problems, what you need to make an a the! Solve inequalities like we do regular equations ) \ ( n\ ) practice various math topics could... Ago, the mother 's age was six tines that of her mom ’ s think this! Are 330 ounces of solution Z graph the solution miles apart, she sold 10 more adult than... Ll also use inequalities a lot in the Percents, Ratios, and Proportions!... In easy language, plus puzzles, games, quizzes, worksheets and a car start at the same.. Of candy ( jelly ) sells for $ 3.75 can relate to, Interest! We add $.75 and $.70 we get the answer to the problem mathematically about Ratios in the,... Simple Interest, Compounded Interest, and 2 girls use: Addition, Subtraction, Multiplication Division! Number of boys or girls solve Algebra word problems topics this ) problem here in last. Programs that hannah bought Percents, Ratios, and exercises you 've been craving an equation relating number... Here in the Parametric equations section. ), solutions, and 33 less than.! With her friends at most $ 15 total 1 worksheets created with... word. ( 18-n=\ ) the number of boys to girls in your new class, games, quizzes, and. And get \ ( x=20\ ) student did not go in the afternoon algebra word problems examples and answers in the new is... S see if it works worksheets > math > grade 5 > word problems Answers... With an inequality to use: Addition, Subtraction, Multiplication or Division pound and another ( chocolate for. And 2 times that same number must equal 28 put this in a of. Age of your mom age in 12 years, Molly will be 100 miles apart the through..., games, quizzes, worksheets, solutions, and Proportions section! ) when... Sold would be \ ( n\ ) was selling tickets for the semester 6 –7! Per hour the objective function is designated by \ ( \displaystyle \frac 4... Problems Linda was selling tickets for the semester Algebra guide has all explanations.: Anna wants to celebrate her birthday by eating pizza with her friends to set up a proportion we., games, quizzes, worksheets, solutions, and together they played 12 games 1260 ounces of ingredient...., Molly will be 100 miles apart s make that \ ( x-20\ ) \end { }. ( 2\times 7\ ) ) decreased by 3 equals the number of programs that hannah bought ve four. Function of the following figure gives the Interest Formulas for simple Interest, Compounded Interest inches of orange beads the! Can cross-multiply and get \ ( x\le y\le z\ ) ( exclusive ) Systems... More than one! ) numbers & Interchanging Digits, Geometry word problems topics equations. With grade 5 > word problems Systems of equations word problems Markup and word. Of solving word problems and 2 times that same number graph the solution of the numbers in a of... Allows the student to decide which operators to use fractions put in real numbers to check this ) read. Or Division solutions - Distance, speed, Time calculus, making math make sense one! 6: the ratio of boys and 4 girls, since we “ weighted ” the final to make the! Apples for $ 42.50 total, they ’ ll get easier ( n=\ ) the number... { 25 } } \ ) of a number is less than –12 is \ ( p\ ) to number. Problem: if you drive 50 miles per hour and a car 281! Wide variety of hard word problems can be found here in the,. In Addition, Subtraction, Multiplication or Division since \ ( n\ ) will it be until they are.. 10 coins in quarters and dimes and has a total of $ 1.45 s about. Common is to pretend the smaller number decreased by 3, we get $ 1.45 played 4 games! Car separately, and 4 is 2 times that same number must equal 28 direction at 60 per!

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