Exam 2: Section 2: Linear Equations and Inequalities in One Variable

At a 30% discount rate, Jack's discount was more than $12 on the jacket he purchased. Write an inequality to describe this situation using p for the original price of the jacket.

Translate into an algebraic expression. 35 decreased by the quotient of x and 10

How many pints of a 9% cleaning solution must be mixed with 2 pints of a 13% cleaning solution to give a 11% solution?

Lori built a dog lot for her dog, Chollie, by fencing in a rectangular area of her yard. If Chollie's lot required 60 feet of fence and the length is 10 feet longer than the width, then what are the length and width of Chollie's dog lot?

Mark and Brenda wish to get $135,240 for their home. The real estate agent's commission is 8% of the selling price. What should the selling price be?

Carol drove for 3 hours on a two-lane state road. She then increased her speed by 20 miles per hour on the freeway and drove for 5 more hours. If the total trip was 420 miles, then what was her speed on the freeway?

Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. 80 - 5(t + 4) = 0

Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. p - 8 = p + 8

Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. u + 5u = 6u

Ferdinand sold his algebra textbook using an internet auction site that charges a commission of 13% of the selling price. After the commission was paid, Ferdinand received $22.64. If x represents the selling price, then x satisfies x - 0.13x = 22.64. Solve this equation to find the selling price.

Cab drivers in Metro City charge $5 per mile plus a fixed charge of $2 for the tip. If a tourist pays $37 for a cab ride, then how many miles was the cab ride?

Solve.

Write the appropriate inequality symbol in the blank so that the two inequalities are equivalent. -55  5y -11 _____ y

Find an algebraic expression for the underlined quantity. The distance, given that the rate is x miles per hour and the time is 8 hours.

Find y given that x = -7 and y = -4x + 5.

Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. 13y + 4y = 12y

Solve. 0.2n + 2.4 = 0.6n

The law firm of Dewey, Cheetham, and Howe handled 36 personal injury cases this past year. this was of the cases handled by the rival firm of Gypsum-Goode. How many personal injury cases were handled by Gypsum-Goode last year?

James paid $234 for a DVD player that was priced originally at $260. What was the discount rate?

Solve for x. 4(x - a) - (26b - x) = a - b