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Pre-Algebra › Pre-Algebra

Questions 1 - 10

Solve:

$-832\div-32$

Explanation

When two negative numbers are being divided, our answer is positive. The quotient is .

Reduce the fraction $\frac{18}{24}$ .

$\frac{3}{4}$

$\frac{9}{12}$

$\frac{5}{8}$

$\frac{27}{36}$

Explanation

To reduce any fraction, you must find the greatest common factor (GCF) of both the numerator and denominator. In this case, the biggest number that can be divided into both 18 and 24 evenly is 6. Divide both 18 and 24 by 6 to solve.

$\frac{18}{6}=3$

$\frac{24}{6}=4$

The solution is $\frac{3}{4}$ .

Explanation

There is a negative number and zero. Regardless whether the number is positive or negative, anything multiplied by zero is always zero. Answer is .

Sarah is building a fence for her dog's square play area. To reduce the cost, she is using her house as 1 side of the play area, meaning she only has to purchase fencing for the other sides. If she needs to fence in 225 meters2 for her dogs, and fencing costs $2.50 per meter of fencing, what will be the cost of fencing in this square play area?

$\small \small \$ 112.50$

$\small \$ 562.50$

$\small \$ 140.63$

$\small \$ 45$

$\small \$75$

Explanation

The first step is to figure out the perimeter of the square play yard with an area of 225 meters, first using the fomula:

$\small (area) = (base)^2$

Find the square root of both sides to calculate the length of the base of the square

$\small \small \small \small \sqrt225 = (base) = 15$

All the sides are of equivilent length, so the total amount of fence required is:

$\small \small (15)*3 = 45$

One side is "fenced" by the house, so that fenching does not need to be paid for. Thus, only the remaining 3 sides need to be paid for.

Finally, multiply the length of fencing needs by the cost of fence per foot to find your answer:

$\small 45 * $2.50 = $112.50$

Solve for in the following equation:

$\frac{x}{2.5} = 10$

Explanation

When solving for x, we multiply both sides by 2.5.

So,

$\frac{x}{2.5} = 10$

$\frac{x}{2.5} \cdot 2.5 = 10 \cdot 2.5$

Note that even though there are decimals in the equation, you still solve it using the same methods.

Solve:

Explanation

In order to solve for , subtract from both sides.

Solve for .

$\frac{x}{0.4}=7$

Explanation

$\frac{x}{0.4}=7$ Multiply both sides by . When multiplying decimals, first multiply normally and then count the number of decimal places in the problem. We have . So starting from the right, we shift one place to the left to get a decimal of .

Solve for .

$\frac{x}{-0.9}=-3.1$

Explanation

$\frac{x}{-0.9}=-3.1$ Multiply both sides by . When multiplying decimals, first multiply normally and then count the number of decimal places in the problem. We have . So starting from the right, we shift two places to the left to get a decimal of . Since we are multiplying with negative numbers, we need to determine if the answer is negative. There are two negative numbers and that means the answer is positive.

Solve:

Explanation

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Therefore, divide both sides by to solve for the unknown variable.

$\frac{0.2x }{0.2}= \frac{10}{0.2}=50$

Solve:

$\frac{1089}{50}$

$\frac{20000}{11}$

Explanation

To solve for the unknown variable, divide both sides by .

$\frac{0.33x }{0.33}= \frac{66}{0.33}$

If dividing by decimals is difficult, you can convert the decimal into an integer by multiplying the decimal number by 100 or moving the decimal to the right two places.

${0.33x \times 100 }= 66 \times 100$