Exam 2: Equations, Inequalities, and Problem Solving

Write the algebraic expression described. Simplify if possible. -If x represents the first of three consecutive odd integers, express the sum of the three integers in terms of x.

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -An automobile dealership recently reduced the price of a used sports car by 14%. If the price of the car was $25,600.00, find the sale price.

Solve. -The difference of triple a number and $\frac { 1 } { 2 }$ is equal to the sum of the number and $\frac { 2 } { 3 }$ . Find the number.

Solve. -Alexander and Judy are 32 miles apart on a calm lake paddling toward each other. Alexander paddles at 5 miles per hour, while Judy paddles at 8 miles per hour. How long will it take them to Meet?

Solve the inequality. Graph the solution set and write it in interval notation. - $4 \leq 4 x - 4 \leq 24$

Substitute the given values into the formula and solve for the unknown variable. - $\mathrm { A } = \frac { 1 } { 2 } ( \mathrm {~B} + \mathrm { b } ) \mathrm { h } ; \mathrm { A } = 166.5 , \mathrm {~b} = 18 , \mathrm {~B} = 19$

Simplify the expression by combining any like terms. - $9 x ^ { 2 } - 4 x + 7 + 2 x - 5 + 9 x ^ { 2 }$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -At a gourmet nut shop, nuts are sold in bulk. Cashews sell for $1.50 per pound and macadamia nuts sell for $8.50 per pound. Lee wishes to purchase 5 pounds of mixed nuts by mixing 3.5 pounds Of cashews and 1.5 pounds of macadamia nuts. What will be the price per pound of the mixture?

Solve. -The difference of a number and 3 is the same as 49 less the number. Find the number.

Solve. -You have taken up gardening for relaxation and have decided to fence in your new rectangular shaped masterpiece. The length of the garden is 12 meters and 30 meters of fencing is required to completely enclose it. What is the width of the garden?

Substitute the given values into the formula and solve for the unknown variable. -d = rt; t = 3, d = 6

Write the algebraic expression described. Simplify if possible. -Two numbers have a sum of 60. If one number is q, express the other number in terms of q.

Fill in the blank with one of the words or phrases listed below. -The solution(s) to the equation $x + 5 = x + 5$ is/are______

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -Students at Maple School earned $636 selling candles. They want to accumulate $2000 for a club trip. What percent of their goal has been reached?

Solve the formula for the specified variable. - $I =$ Prt for $P$

Solve the equation. -3(2n - 3) = 5(n + 3)

Solve. -How long would it take to drive 500 kilometers if your average rate of speed was 50 kilometers per hour?

Solve the equation. -6y = 5y - 4.3

Simplify the expression by combining any like terms. - $4 z - 12 z + z$

Fill in the blank with one of the words or phrases listed below. -The solution(s) to the equation $x + 5 = x + 4$ is/are_______