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High School Math : High School Math

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8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #5 : How To Do Word Problems Where One Quantity Is Unknown

The area of a rectangle is 200ft^2 . How many whole 3ft by 5ft rectangles can fit inside of this larger rectangle?

Possible Answers:

215

$13\tfrac{1}{3}$

0.075

120

Correct answer:

Explanation:

First we need to find the area of the smaller rectangle.

A=l*w

A=3ft*5ft

A=15ft^2

Now to find out how many can fit, we divide the total area by the smaller area.

$\frac{200ft^2}{15ft^2}=x$

$13\tfrac{1}{3}=x$

However, the problem is asking how many WHOLE rectangles can fit. Therefore only can fit.

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Example Question #3 : How To Do Word Problems Where One Quantity Is Unknown

40% of Eric's socks are black, and the rest are white. If he has 6 pairs of black socks, how many pairs of white socks does he have?

Possible Answers:

Correct answer:

Explanation:

First, use the information to find the total number of socks Eric has by setting up a proportion:

$\frac{40}{100}=\frac{6}{x}$ , where is the number of total socks.

Once you cross multiply and divide, you will find that x=15 .

To find the number of white socks Eric has, subtract the number of black socks (6) from the total number of socks:

15-6=9

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Example Question #7 : How To Do Word Problems Where One Quantity Is Unknown

A chemistry student has $0.5\; L$ of a $75\%$ acid solution. She needs a $50\%$ acid solution for an experiement. How much pure water should she add?

Possible Answers:

$1.00\; L$

$0.50\; L$

$0.75\; L$

$0.25\; L$

$1.25\; L$

Correct answer:

$0.25\; L$

Explanation:

$0\%=$ pure water and $100\%=$ pure acid

In general, mixture problems have the form:

$V_{1}P_{1} + V_{2}P_{2} = V_{f}P_{f}$ , where V = volume and P = percent

The equation to solve becomes:

x(0)+0.50(0.75)=(x+0.50)(0.50)

0.50(0.75)=0.50x+0.50(0.50)

0.50(0.75)-0.50(0.50)=0.50x

$\frac{0.50(0.75-0.50)}{0.50}=x$

Then the solution is $x=0.25\; L$ .

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Example Question #8 : How To Do Word Problems Where One Quantity Is Unknown

Sarah is having a birthday party. She wants to invite friends. Each invitation costs $50\cent$ , and each stamp costs $45\cent$ . If she plans to mail all of the invitations, how much change should she get back if she pays with a $\$ 20$ bill?

Possible Answers:

$\$3.10$

$\$2.90$

$\$1.05$

$\$2.45$

$\$1.95$

Correct answer:

$\$2.90$

Explanation:

The cost of mailing each invitation is 0.50+0.45=0.95 .

To invite everyone, it will cost $0.95\cdot 18=17.10$ .

Then the change is 20-17.10=2.90 .

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Example Question #4 : How To Do Word Problems Where One Quantity Is Unknown

What number is $120\%$ of ?

Possible Answers:

108

120

Correct answer:

108

Explanation:

Look for the verbal cues in the question. IS translates to "equals" and OF translates to multiplication.

Thus the equation to solve becomes:

n=1.20(90) = 108

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Example Question #111 : High School Math

What percent of is ?

Possible Answers:

$12.5\%$

$10\%$

$15\%$

$7.5\%$

$20\%$

Correct answer:

$20\%$

Explanation:

Look for the verbal cues in the question. IS represents "equals" and OF represents multiplication.

Then the equation to solve becomes:

$P\cdot 75=15$ so P=0.20 or $20\%$

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Example Question #114 : High School Math

Joy earns a $5\%$ commission on each house she sells. How much money does she make when she sells two houses for $\$69,000$ each and another house for $\$75,000$ ?

Possible Answers:

$\$10,650$

$\$11,500$

$\$9,925$

$\$8,750$

$\$7,850$

Correct answer:

$\$10,650$

Explanation:

In general, a commission problem has the form:

$\$\; sales \cdot \%\; commission = \$ \; commission$

$Total \; sales= 69,000+69,000+75,000=\$213,000$

So the commission is:

$213,000\cdot 0.05=\$10,650$

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Example Question #112 : High School Math

Edward is making cookies. The full recipe makes 144 cookies. He decides to cut the recipe by four. How many dozens of cookies will he make?

Possible Answers:

Correct answer:

Explanation:

Cut the recipe by four: $144\div 4=36$ cookies; however, the question asks for how many DOZENS of cookies are made, so the correct answer is dozen cookies.

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Example Question #14 : Algebraic Equations

Dean is counting his money. He has five more quarters than nickles and four less nickles than dimes. He has $\$2.85$ . How many coins does he have?

Possible Answers:

Correct answer:

Explanation:

Money problems generally consist of two parts: total number of coins and total value of money.

Let number of nickles, x+5= number of quarters, and x+4= number of dimes.

So the equation to solve becomes:

0.05x+0.25(x+5)+0.10(x+4)= 2.85 or

0.05x+0.25x+1.25+0.10x+0.40=2.85 so

0.40x=1.20

Thus, x = 3 , so there are three nickles, eight quarters and seven dimes for a total of coins.

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Example Question #116 : High School Math

Golden Sunshine paint is made by mixing one part red paint and three parts yellow paint. How many gallons of yellow paint should be mixed with three quarts of red paint?

Possible Answers:

$2.25\; gallons$

$2.75\; gallons$

$2.50\; gallons$

$1.75\; gallons$

$1.50\; gallons$

Correct answer:

$2.25\; gallons$

Explanation:

Use proportions to solve this problem.

Let quarts of yellow paint.

$\frac{3\; yellow}{1\; red}= \frac{x\; qt \; yellow\; paint}{3\; qt \; red\; paint}$

By cross-multiplying we get $x = 9\; qt \; yellow\; paint$ .

Since $4 \; quarts = 1\; gallon$ , we actually need $2.25\; gallons \; yellow\; paint$ .

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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #5 : How To Do Word Problems Where One Quantity Is Unknown

Example Question #3 : How To Do Word Problems Where One Quantity Is Unknown

Example Question #7 : How To Do Word Problems Where One Quantity Is Unknown

Example Question #8 : How To Do Word Problems Where One Quantity Is Unknown

Example Question #4 : How To Do Word Problems Where One Quantity Is Unknown

Example Question #111 : High School Math

Example Question #114 : High School Math

Example Question #112 : High School Math

Example Question #14 : Algebraic Equations

Example Question #116 : High School Math

All High School Math Resources

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