A painting job can be completed by 7 painters in 41 days. Determine the number of t... Amanda is excited to drive her new hybrid car that gets great gas mileage. Complete the operations inside the parentheses first. Checking Your Answers. There are 18 fewer $3 dollar bills than$1 bills. How many positive integer solutions are there to x_1 + x_2 + x_3 + x_4 = 100? If 1 piece is 8 inches longer than the other, how long is each piece? How many hamburgers were sold on Saturday? -(3 x - 3) - (2 x - 5) + 4 = -5 (x - 1) - (3 x + 2) + 3, Solve the following: 4 x 2 = 3 x + 5 + 7 ( x + 5 ) ( x 2 ), Solve the equation: 3x + 5 = 4 - 2(x + 2). Check your solution to the linear equation from the problem by substituting and evaluating both sides of the equation. 4x + 13 - (2x - (4(x - 3) - 5)) = 2x - 12, Translate the following phrases into algebraic expressions: a. She has a regular weekly routine, training for five hours a day on some days and 3 hours a day on the other days. A woman bought some large frames for $1414 each and some small frames for$66 each at a closeout sale. Submit it to our experts to be answered. A butcher has some hamburger that is 19% fat and some that is 11% fat. How many salads were sold that day? Using d, write an expression for the total number of miles he drove in the two weeks. If \frac{24x^2+25x-47}{ax-2}=-8x-3-\frac{53}{ax-2} is true for all values of x \neq 2 where a is a constant, what is the value of a? Sciences, Culinary Arts and Personal If you need assistance with a particular problem, click the "step-by-step" link for an in depth solution. The sum of a certain number and 16 is equal to 5 times the number. What is x if -2 is less than or equal to -x/34? With the coupon book, the fare is reduced to $1.00. Find the number. How old is Mike? A pilot can estimate the true airspeed by observing the indicated airspeed and adding it abo... For a board game, there are 3 kinds of bills. Solutions and explanations for each of the answers to the algebra practice problems are provided in this section. Show step-by-step. How many chickens were there? A food truck sells salads for$6.50 each and drinks for $2.00 each. Two negative signs together make a positive. While I have dreamed up many of the items included here, there are many others Their sum is 91. Hank Aaron hit 755 home runs. Write the following as an equation, then solve. Each gold coin weighs about 0.5 ounces and each silver coin weighs about 0.25 ounces. The teacher accidentally reversed the digits, if a test scored and shorted a student 36 points. You reached 1 for an answer, didn't you? Perform the operations inside the parentheses. But Laurel has as much money as Eric and Marcia have together. Pam spent$100 on books. How many pounds of each should be used to make 25 lb of a blend costing $4.34 per pound? a. The product of four less than a number and nine is fifteen. Intermediate Algebra Problems With Answers - sample 3 : equations and system of equations, quadratic equations, function given by a table, intersections of lines, problems. (for example, 256 and 530 have the digit 5 in common.). The sum of the number is 10. The college store paid \ \ 1670 for an order of 45 calculators. 8x-y=-20 y=16x+9. Problems on solving equations, inequalities, and practical problems like those provided at the first link below. A movie theater has to pay rent$ 100 per day. The sum of two consecutive integers is no more than 209. What number am I? all of his ties are blue except two. answer the question by checking a,b,c,d or e in the lower part of the She says to her son, I count 57 heads and 363 feet. a. n = 312 b. n = 5.75 c. n = -dfrac{7}{15} d. n = -7 dfrac{2}{5}, Solve the equation. College Algebra Sample Problems, Lesson 1.1 Solve for x: Use distributive property on left side: Combine two like 'x' terms on left side: Subtract x from both sides: Subtract 8 from both sides: Check: Substitution: Substitution: Substitution : Subtract 2w from both sides: Divide both sides by 2: OR : Could simplify left side like this: which simplifies to alternate answer at left. How long will it take them to finish the job together? Find the integers. If Mr. Charon works 1 hour and then his assistant completes the job alone, how long will it take the assistant to finish the job? When solving a system of equations by the addition method, how do you know the system has no solution? Solve for v. 2v^{2} + 4v - 14 = (v + 1)^{2}.