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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #31 : How To Find The Sale Price

Larry works part time at Jim's Burger Shack and gets an employee discount of $20\%$ on all food and drink. If Larry orders $\$24.50$ worth of food, how much will he pay after his employee discount is applied?

Possible Answers:

$\$21.50$

$\$19.25$

$\$19.60$

$\$20.75$

$\$18.90$

Correct answer:

$\$19.60$

Explanation:

With a $20\%$ discount, Larry is paying $80\%$ of the full price for the food:

$\frac{80\%}{100\%}\cdot\$24.50=\$19.60$

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Example Question #32 : How To Find The Sale Price

As part of a promotion, Farmville Motor and Muffler is giving a $10\%$ discount on all oil changes. If Oscar brings his car in for an oil change that normally costs $\$39.99$ , what will he be paying after the $10\%$ discount?

Possible Answers:

$\$37.99$

$\$35.05$

$\$35.99$

$\$36.03$

$\$33.99$

Correct answer:

$\$35.99$

Explanation:

To find the discounted price, we want to find $10\%$ of $\$39.99$ and subtract that from the full price:

$\frac{10\%}{100\%}\cdot\$39.99\approx\$4.00\\ \$39.99-\$4.00=\$35.99$

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Example Question #101 : Monetary Percentage

Fronteir General Store Ltd. is having a clearance sale of $67\%$ off all hardware. If Oscar purchases a jigsaw that normally retails for $\$129.99$ what will be the discounted price?

Possible Answers:

$\$39.97$

$\$42.90$

$\$87.09$

$\$45.08$

$\$50.67$

Correct answer:

$\$42.90$

Explanation:

With a discount of $67\%$ , Oscar is only paying $33\%$ of the original retail price, which can be calculated as such:

$\frac{33\%}{100\%}\cdot\$129.99=\$42.90$

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Example Question #34 : How To Find The Sale Price

If a pair of headphones retail for $\$54.99$ but are on sale and discounted by $20\%$ . What is the discounted price of the headphones?

Possible Answers:

$\$34.99$

$\$37.99$

$\$40.99$

$\$43.99$

$\$46.99$

Correct answer:

$\$43.99$

Explanation:

With a $20\%$ discount, only $80\%$ of the full retail price is paid:

$\frac{80\%}{100\%}\cdot\$54.99=\$43.99$

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Example Question #2761 : Algebra 1

A pair of jeans that normally retail for $\$19.99$ are on clearance and are $67\%$ off. What is the sales price of the jeans?

Possible Answers:

$\$6.60$

$\$6.40$

$\$5.39$

$\$13.39$

$\$7.32$

Correct answer:

$\$6.60$

Explanation:

$\frac{100\%-67\%}{100\%}\cdot\$19.99=\frac{33\%}{100\%}\cdot\$19.99=\$6.60$

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Example Question #36 : How To Find The Sale Price

Bob is shoe shopping and pays $48 for a pair of shoes. If the shoes were on sale for 20%, what was the original price of the shoes?

Possible Answers:

$\$70$

$\$60$

$\$55$

$\$75$

$\$65$

Correct answer:

$\$60$

Explanation:

To find out what the original price of Bob's shoes, we use the following equation:

$\text{original price - (percent discount)(original price) = sale price}$

Let represent the original price. Use this notation and substitute into our above equation:

x-(0.2x)=48

Solve.

0.8x=48

x=60

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Example Question #32 : How To Find The Sale Price

You go shopping and you see a shirt that costs $25. There is a sign next to it that says it is 20% off. What is the sale price of the shirt?

Possible Answers:

$\$7$

$\$4$

$\$5$

$\$20$

$\$15$

Correct answer:

$\$20$

Explanation:

The sale price of something is how much we will spend after the discount is taken. So, the discount is 20%.

We must find what 20% of $25 is. We know

$20\% = 0.20$

Now, we multiply.

$0.20 \cdot \$25 = \$5$

So, the discount is $5. We need to determine how much we are going to pay. To do that, we subtract the discount from the original cost.

$\$25 - \$5 = \$20$

The sale price of the shirt is $20.

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Example Question #32 : How To Find The Sale Price

You are shopping for jeans. You see some that are $\$ 25.00$ . You also see a sign that says they are $15\%$ off. What is the sale price of the jeans?

Possible Answers:

$\$21.25$

$\$10.00$

$\$24.85$

$\$15.75$

$\$20.00$

Correct answer:

$\$21.25$

Explanation:

To find the sale price, we will first find the discount, then subtract the discount from the original price.

We know the discount is $15\%$ of the original price, $\$25.00$ . So we will multiply:

$\text{discount} = 15\% \cdot \$25$

$\text{discount} = 0.15 \cdot \$25$

$\text{discount} = \$3.75$

So the discount is $\$3.75$ . Now, we will subtract that from the original price to get the sale price.

$\text{sale price} = \text{original price - discount}$

$\text{sale price} = \$25 - \$3.75$

$\text{sale price} = \$21.25$

Therefore, the sale price of the jeans is $\$21.25$ .

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Example Question #39 : How To Find The Sale Price

What is the final sales price of a candy bar after applying a $40\%$ sales tax if its original price of the candy bar is $\$3$ ?

Possible Answers:

$\$4.40$

$\$3.40$

$\$3.75$

$\$4.20$

$\$3.80$

Correct answer:

$\$4.20$

Explanation:

The final price is the original price added with the original price times a certain percentage applied to the original price.

With a forty percent sales tax:

$40\% = \frac{40}{100} = 0.4$

Write the equation representing cost with original price plus the original price applied with the percentange.

$\textup{Cost}= 3+ 3(0.4)$

Simplify this equation to find the cost of the candy bar.

$\textup{Cost}= 3+ 3(0.4) = 3+1.2 = \$4.20$

The final price of the candy bar is $\$4.20$ .

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Example Question #40 : How To Find The Sale Price

What is the sale price of a two dollar candy bar if the tax applied was five percent?

Possible Answers:

$\$2.05$

$\$2.10$

$\$2.08$

$\$2.15$

$\$2.02$

Correct answer:

$\$2.10$

Explanation:

The final sales price is the original price of the candy bar plus the tax applied to the candy bar.

Five percent is:

$\frac{5}{100}= 0.05$

Set up the equation to find the final sales price.

$\textup{Final sale price }= \$2 + (0.05)(\$2)$

Simplify the equation.

$\textup{Final sale price }= \$2 +0.10= \$2.10$

The answer is: $\$2.10$

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #31 : How To Find The Sale Price

Example Question #32 : How To Find The Sale Price

Example Question #101 : Monetary Percentage

Example Question #34 : How To Find The Sale Price

Example Question #2761 : Algebra 1

Example Question #36 : How To Find The Sale Price

Example Question #32 : How To Find The Sale Price

Example Question #32 : How To Find The Sale Price

Example Question #39 : How To Find The Sale Price

Example Question #40 : How To Find The Sale Price

All Algebra 1 Resources

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