### Practice Test

In the following exercises, solve each equation.

$\frac{1}{4}\left(12m+28\right)=6+2\left(3m+1\right)$

$0.1d+0.25\left(d+8\right)=4.1$

$3\left(3u+2\right)+4\left[6-8\left(u-1\right)\right]=3\left(u-2\right)$

$\left|3x-4\right|=8$

Solve the formula

$x+2y=5$ for *y*.

In the following exercises, graph the inequality on the number line and write in interval notation.

$x<\frac{11}{4}$

In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation.

$8k\ge 5k-120$

$\frac{3}{4}x-5\ge \mathrm{-2}$ and

$\mathrm{-3}\left(x+1\right)\ge 6$

$\frac{1}{2}x-3\le 4$ or

$\frac{1}{3}\left(x-6\right)\ge \mathrm{-2}$

In the following exercises, translate to an equation or inequality and solve.

Four less than twice *x* is 16.

One number is four more than twice another. Their sum is $\mathrm{-47}.$ Find the numbers.

Marcus bought a television on sale for $626.50 The original price of the television was $895. Find ⓐ the amount of discount and ⓑ the discount rate.

Bonita has $2.95 in dimes and quarters in her pocket. If she has five more dimes than quarters, how many of each coin does she have?

Kim is making eight gallons of punch from fruit juice and soda. The fruit juice costs $6.04 per gallon and the soda costs $4.28 per gallon. How much fruit juice and how much soda should she use so that the punch costs $5.71 per gallon?

The measure of one angle of a triangle is twice the measure of the smallest angle. The measure of the third angle is three times the measure of the smallest angle. Find the measures of all three angles.

The length of a rectangle is five feet more than four times the width. The perimeter is 60 feet. Find the dimensions of the rectangle.

Two planes leave Dallas at the same time. One heads east at a speed of 428 miles per hour. The other plane heads west at a speed of 382 miles per hour. How many hours will it take them to be 2,025 miles apart?

Leon drove from his house in Cincinnati to his sister’s house in Cleveland, a distance of 252 miles. It took him $4\frac{1}{2}$ hours. For the first half hour, he had heavy traffic, and the rest of the time his speed was five miles per hour less than twice his speed in heavy traffic. What was his speed in heavy traffic?

Sara has a budget of $1,000 for costumes for the 18 members of her musical theater group. What is the maximum she can spend for each costume?