 Prealgebra

# Review Exercises

PrealgebraReview Exercises

### Review Exercises

##### Understand Percent

In the following exercises, write each percent as a ratio.

332.

$32%32%$ admission rate for the university

333.

$53.3%53.3%$ rate of college students with student loans

In the following exercises, write as a ratio and then as a percent.

334.

$1313$ out of $100100$ architects are women.

335.

$99$ out of every $100100$ nurses are men.

In the following exercises, convert each percent to a fraction.

336.

$48%48%$

337.

$175%175%$

338.

$64.1%64.1%$

339.

$814%814%$

In the following exercises, convert each percent to a decimal.

340.

$6%6%$

341.

$23%23%$

342.

$128%128%$

343.

4.9%

In the following exercises, convert each percent to a simplified fraction and a decimal.

344.

In $2012,13.5%2012,13.5%$ of the United States population was age $6565$ or over. (Source: www.census.gov)

345.

In $2012,6.5%2012,6.5%$ of the United States population was under $55$ years old. (Source: www.census.gov)

346.

When a die is tossed, the probability it will land with an even number of dots on the top side is $50%.50%.$

347.

A couple plans to have three children. The probability they will all be girls is $12.5%.12.5%.$

In the following exercises, convert each decimal to a percent.

348.

$0.040.04$

349.

$0.150.15$

350.

$2.822.82$

351.

$33$

352.

$0.0030.003$

353.

$1.3951.395$

In the following exercises, convert each fraction to a percent.

354.

$3434$

355.

$115115$

356.

$358358$

357.

$2929$

358.

According to the Centers for Disease Control, $2525$ of adults do not take a vitamin or supplement.

359.

According to the Centers for Disease Control, among adults who do take a vitamin or supplement, $3434$ take a multivitamin.

In the following exercises, translate and solve.

360.

What number is $46%46%$ of $350?350?$

361.

$120%120%$ of $5555$ is what number?

362.

$8484$ is $35%35%$ of what number?

363.

$1515$ is $8%8%$ of what number?

364.

$200%200%$ of what number is $50?50?$

365.

$7.9%7.9%$ of what number is $4.74?4.74?$

366.

What percent of $120120$ is $81.6?81.6?$

367.

What percent of $340340$ is $595?595?$

##### Solve General Applications of Percents

In the following exercises, solve.

368.

When Aurelio and his family ate dinner at a restaurant, the bill was $83.50.83.50.$ Aurelio wants to leave $20%20%$ of the total bill as a tip. How much should the tip be?

369.

One granola bar has $22$ grams of fiber, which is $8%8%$ of the recommended daily amount. What is the total recommended daily amount of fiber?

370.

The nutrition label on a package of granola bars says that each granola bar has $190190$ calories, and $5454$ calories are from fat. What percent of the total calories is from fat?

371.

Elsa gets paid $4,6004,600$ per month. Her car payment is $253.253.$ What percent of her monthly pay goes to her car payment?

In the following exercises, solve.

372.

Jorge got a raise in his hourly pay, from $19.0019.00$ to $19.76.19.76.$ Find the percent increase.

373.

Last year Bernard bought a new car for $30,000.30,000.$ This year the car is worth $24,000.24,000.$ Find the percent decrease.

##### Solve Sales Tax, Commission, and Discount Applications

In the following exercises, find the sales tax the total cost.

374.

The cost of a lawn mower was $750.750.$ The sales tax rate is $6%6%$ of the purchase price.

375.

The cost of a water heater is $577.577.$ The sales tax rate is $8.75%8.75%$ of the purchase price.

In the following exercises, find the sales tax rate.

376.

Andy bought a piano for $4,600.4,600.$ The sales tax on the purchase was $333.50.333.50.$

377.

Nahomi bought a purse for $200.200.$ The sales tax on the purchase was $16.75.16.75.$

In the following exercises, find the commission.

378.

Ginny is a realtor. She receives $3%3%$ commission when she sells a house. How much commission will she receive for selling a house for $380,000?380,000?$

379.

Jackson receives $16.5%16.5%$ commission when he sells a dinette set. How much commission will he receive for selling a dinette set for $895?895?$

In the following exercises, find the rate of commission.

380.

Ruben received $675675$ commission when he sold a $4,5004,500$ painting at the art gallery where he works. What was the rate of commission?

381.

Tori received $80.7580.75$ for selling a $950950$ membership at her gym. What was her rate of commission?

In the following exercises, find the sale price.

382.

Aya bought a pair of shoes that was on sale for $3030$ off. The original price of the shoes was $75.75.$

383.

Takwanna saw a cookware set she liked on sale for $145145$ off. The original price of the cookware was $312.312.$

In the following exercises, find the amount of discount and the sale price.

384.

Nga bought a microwave for her office. The microwave was discounted $30%30%$ from an original price of $84.90.84.90.$

385.

Jarrett bought a tie that was discounted $65%65%$ from an original price of $45.45.$

In the following exercises, find the amount of discount the discount rate. (Round to the nearest tenth of a percent if needed.)

386.

Hilda bought a bedspread on sale for $37.37.$ The original price of the bedspread was $50.50.$

387.

Tyler bought a phone on sale for $49.99.49.99.$ The original price of the phone was $79.99.79.99.$

In the following exercises, find

1. the amount of the mark-up
2. the list price
388.

Manny paid $0.800.80$ a pound for apples. He added $60%60%$ mark-up before selling them at his produce stand. What price did he charge for the apples?

389.

It cost Noelle $17.4017.40$ for the materials she used to make a purse. She added a $325%325%$ mark-up before selling it at her friend’s store. What price did she ask for the purse?

##### Solve Simple Interest Applications

In the following exercises, solve the simple interest problem.

390.

Find the simple interest earned after $44$ years on $2,2502,250$ invested at an interest rate of $5%.5%.$

391.

Find the simple interest earned after $77$ years on $12,00012,000$ invested at an interest rate of $8.5%.8.5%.$

392.

Find the principal invested if $660660$ interest was earned in $55$ years at an interest rate of $3%.3%.$

393.

Find the interest rate if $2,8982,898$ interest was earned from a principal of $23,00023,000$ invested for $33$ years.

394.

Kazuo deposited $10,00010,000$ in a bank account with interest rate $4.5%.4.5%.$ How much interest was earned in $22$ years?

395.

Brent invested $23,00023,000$ in a friend’s business. In $55$ years the friend paid him the $23,00023,000$ plus $9,2009,200$ interest. What was the rate of interest?

396.

Fresia lent her son $5,0005,000$ for college expenses. Three years later he repaid her the $5,0005,000$ plus $375375$ interest. What was the rate of interest?

397.

In $66$ years, a bond that paid $5.5%5.5%$ earned $594594$ interest. What was the principal of the bond?

##### Solve Proportions and their Applications

In the following exercises, write each sentence as a proportion.

398.

$33$ is to $88$ as $1212$ is to $32.32.$

399.

$9595$ miles to $33$ gallons is the same as $475475$ miles to $1515$ gallons.

400.

$11$ teacher to $1818$ students is the same as $2323$ teachers to $414414$ students.

401.

$7.357.35$ for $1515$ ounces is the same as $2.942.94$ for $66$ ounces.

In the following exercises, determine whether each equation is a proportion.

402.

$513=3078513=3078$

403.

$167=4823167=4823$

404.

$1218=6.9910.991218=6.9910.99$

405.

$11.69.2=37.1229.4411.69.2=37.1229.44$

In the following exercises, solve each proportion.

406.

$x36=59x36=59$

407.

$7a=−6847a=−684$

408.

$1.21.8=d61.21.8=d6$

409.

$122=m20122=m20$

In the following exercises, solve the proportion problem.

410.

The children’s dosage of acetaminophen is $55$ milliliters (ml) for every $2525$ pounds of a child’s weight. How many milliliters of acetaminophen will be prescribed for a $6060$ pound child?

411.

After a workout, Dennis takes his pulse for $1010$ sec and counts $2121$ beats. How many beats per minute is this?

412.

An $88$ ounce serving of ice cream has $272272$ calories. If Lavonne eats $1010$ ounces of ice cream, how many calories does she get?

413.

Alma is going to Europe and wants to exchange $1,2001,200$ into Euros. If each dollar is $0.750.75$ Euros, how many Euros will Alma get?

414.

Zack wants to drive from Omaha to Denver, a distance of $494494$ miles. If his car gets $3838$ miles to the gallon, how many gallons of gas will Zack need to get to Denver?

415.

Teresa is planning a party for $100100$ people. Each gallon of punch will serve $1818$ people. How many gallons of punch will she need?

In the following exercises, translate to a proportion.

416.

What number is $62%62%$ of $395?395?$

417.

$4242$ is $70%70%$ of what number?

418.

What percent of $1,0001,000$ is $15?15?$

419.

What percent of $140140$ is $210?210?$

In the following exercises, translate and solve using proportions.

420.

What number is $85%85%$ of $900?900?$

421.

$6%6%$ of what number is $24?24?$

422.

$3.513.51$ is $4.5%4.5%$ of what number?

423.

What percent of $3,1003,100$ is $930?930?$

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