Determine whether \(4\) is a solution of \(3x-1=11\).

Determine whether \(-12\) is a solution of \(\dfrac{1}{3}x+2=-\dfrac{1}{4}x+1\)

Find the solution set for \(3a - 5 = -6a + 1\)

Solve \(\displaystyle\frac{2}{3}x+\displaystyle\frac{1}{2}= \displaystyle-\frac{3}{8}\)

Solve \(0.06x+0.05(10,000-x)=560\)

Solve \(8-3(4x-2)+5x=35\)

Solve \(2(3x-4)=3+6x\)

Solve \(-15+3x=3(x-5)\)

Find \(y\) when \(x=4\) in the formula \(3x+2y=6\).

A store selling art supplies find that they can sell \(x\) sketch pads each week at \(p\) dollars each, according to the formula \(x=900-300p\). What price should they charge if they want to sell \(525\) pads each week?

A boat is traveling upstream against a current. If the speed of the boat in still water is \(r\) and the speed of the current is \(c\) then the formula for the distance traveled by the boat is \(d=(r-c) \cdot t\) where \(t\) is time. Find \(c\) if \(d=52\) miles, \(r=16\) miles, and \(t=4\) hours.

Given the formula \(P=2w+2l\), solve for \(w\).

Solve for \(x\); \(ax-3=bx+5\)

Solve for \(y\): \(\displaystyle\frac{y-b}{x-0}=m\)

Solve for \(y\): \(\displaystyle\frac{y-4}{x-5}=3\)

Solve for \(h\): \(S=2\pi rh+2\pi r^2\)

The first Ferris wheel had a diameter of \(250\) feet. It had \(36\) carriages and each of which held \(40\) people. One trip around took \(20\) minutes. Find the average speed of a rider. (Use \(3.14\) as an approximation for \(\pi\)).

The length of a rectangle is \(3\) inches less than twice the width. The perimeter is \(45\) inches. Find the length and width.

In April, Pat bought a Ford Mustang with a \(5.0\)-liter engine. The total price, which includes the price of the car plus sales tax, was \(\$17,481.75\). If the sales tax rate was \(7.25\%\), what was the price of the car?

Two complementary angles are such that one is twice as large as the other. Find the two angles.

A person invests \(\$10,000\) in two accounts. One account earns a \(5\%\) annually, and the other earns \(6\%\). If the total interest earned in a year is \(\$560\), how much is invested in each account?

The base angles in an isosceles triangle are twice as large as the third angle. Find the measure of each angle.

Solve and graph: \(3x+3 < 2x-1\)

Solve: \(\, -2y-3 \leq 7\)

Solve \(\, 3(2x-4)-7x \leq -3x\)

Solve and graph \(2(1-3x)+4<4x-14\)

Solve \(2x-3y<6\) for \(y\).

A company that manufactures ink cartridges finds that they can sell \(x\) cartridges each week at \(p\) dollars, according to \(x=1,300-100p\). What price should they charge if they want to sell at least \(300\) cartridges?

The formula \(F=\dfrac{9}{5}C+32\) gives the relationship between Celsius and Fahrenheit. If the temperature on a certain day is \(86^\circ\) Fahrenheit, what is the temperature in degrees Celsius?

Give an example of an infinite set.

Give an example of a finite set.

Let \(A=\{1, 3, 5\}\), \(B=\{0, 2, 4\}\), and \(C=\{1, 2, 3, \ldots\}\). Find \(A\cup B\).

Let \(A=\{1, 3, 5\}\), \(B=\{0, 2, 4\}\), and \(C=\{1, 2, 3, \ldots\}\). Find \(A\cap B\).

Let \(A=\{1, 3, 5\}\), \(B=\{0, 2, 4\}\), and \(C=\{1, 2, 3, \ldots\}\). Find \(A\cap C\).

Let \(A=\{1, 3, 5\}\), \(B=\{0, 2, 4\}\), and \(C=\{1, 2, 3, \ldots\}\). Find \(B\cup C\).

If \(A=\{1,2,3,4,5,6\}\), find \(C=\{x \mid x\in A \text{ and } x\geq4\}\).

Graph \(\, \{x \mid x \leq -2\) or \(x>3\}\)

Graph \(\, \{x \mid x > -1\) and \(x < 2\}\)

Solve and graph: \(\, -3 \leq 2x-5 \leq 3\)

Solve \(3t+7 \leq -4\) or \(3t+7 \geq 4\)

Solve \(\lvert x \rvert =5\)

Solve \(\lvert 2a-1 \rvert =7\)

Solve \(\left\lvert \frac{2}{3}x-3 \right| +5=12\)

Solve \(\lvert 3a-6 \rvert =-4\)

Solve \(\lvert 3a+2 \rvert = \lvert 2a+3 \rvert\)

Solve \(\lvert x-5 \rvert = \lvert x-7 \rvert\)

Graph \(\lvert 2x-5 \rvert < 3\)

Graph \(\lvert 3a+7 \rvert \leq 4\)

Graph \(\lvert x-3 \rvert >5\)

Graph \(\lvert 2x+3 \rvert +4 < 9\)

Graph \(\lvert 4-2t \rvert > 2\)

Solve \(\lvert 7y-1\rvert < -2\)

Solve \(\lvert 6x+2 \rvert > -5\)