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Questions 1 - 10

A trapezoid has height 32 inches and bases 25 inches and 55 inches. What is its area?

$1,280 ; \textrm{in}^{2}$

$800; \textrm{in}^{2}$

$1,760; \textrm{in}^{2}$

$1,375; \textrm{in}^{2}$

$1,920; \textrm{in}^{2}$

Explanation

Use the following formula, with :

$A = \frac{1}{2} (B+b)h = \frac{1}{2} (55+25) \cdot 32 = 1,280$

$\frac{4}{5}*\frac{2}{3}=$

$\frac{8}{15}$

$\frac{6}{8}$

$\frac{6}{15}$

$\frac{8}{8}$

Explanation

Multiply the numerators then denominators:

$\frac{4}{5}* \frac{2}{3}=\frac{8}{15}$

Answer: $\frac{8}{15}$

Which of the following operations is equivalent to taking of a number?

Dividing the number by

Moving the decimal point one place to the left, then doubling the result

Moving the decimal point one place to the left, then tripling the result

Explanation

Let's just pick a number at random, for example .

of this number is , which is divided by .

We can also work by simplifying the fractional form of . A percent can be written as the number divided by .

$=\frac{25}{100}$

We can simplify this fraction: $\frac{25}{100}=\frac{5}{20}=\frac{1}{4}$ .

Either way, we get the same answer.

On a particular November day, it is $75^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-31^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

$106^\circ F$

$160^\circ F$

$116^\circ F$

$86^\circ F$

$76^\circ F$

Explanation

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $31^\circ F$ below zero and in Tucson it is $75^\circ F$ above zero; therefore we can say:

$31+75=106^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is units away from zero and Tucson’s is units away.

Temp3

We can see that Tucson is $106^\circ F$ warmer than New Castle.

Your backyard is wide and long, what is its area?

$60ft^{2}$

$16ft^{2}$

$50ft^{2}$

$10ft^{2}$

Explanation

The area of a rectangle is

So for this you just multiple those two values together to get,

$A=L\cdot w$

Remeber that the units of area are squared.

77% can also be writen as .

Explanation

To convert a percentage into a decimal, divide the number by 100.

Instead of doing long division, simply pretend there is a decimal point at the end of the number, and then move the decimal point two places to the left.

You can think of 77 as 77.0 (or 77. - the zero doesn't matter). Now move the decimal point two places to the left.

Answer:

Find the area of a square if the length is .

Explanation

The area of a square is:

Substitute the length and simplify.

77% can also be writen as .

Explanation

To convert a percentage into a decimal, divide the number by 100.

Instead of doing long division, simply pretend there is a decimal point at the end of the number, and then move the decimal point two places to the left.

You can think of 77 as 77.0 (or 77. - the zero doesn't matter). Now move the decimal point two places to the left.

Answer:

Select the equation that reflects the phrase below.

Subtract from the quotient of divided by

$100\div4-5$

$100\div(4-5)$

$100\div(5-4)$

$100\times4-5$

$100\div4+5$

Explanation

Because of our order of operations, the division problem needs to come first. We list the subtraction last because we are subtracting a number by the quotient, so the quotient needs to be listed first.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Explanation

To subtract decimals you place the first decimal over the top of the other aligned by the decimal point. If there are no numbers after a tens, hundredths, or thousandths place or further to the right of the decimal just add a zero in the required areas.

For example becomes