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Math Workbook Algebra - Free Worksheets and Math

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Page 1: Math Workbook Algebra - Free Worksheets and Math

Math Challenge

My Name:

Skip 1 page.

page 1page 2page 3page 4page 5page 6page 7page 8page 9page 10page 11page 12

Start on the square. Draw exactly 11 lines without picking up your pencil to connect all the circles.

edHelper.com/math_workbooks.htm Algebra Challenge

Page 2: Math Workbook Algebra - Free Worksheets and Math

Name:edHelper

Two jets leave an airport at the same time in opposite directions. The first jet is traveling at three hundred seventy-nine mph and the other at three hundred forty-six mph. How long will it take for the jets to be 2,768 miles apart?

Makayla and Devin left Seattle at four in the afternoon, traveling in opposite directions. At nine p.m., they were five hundred forty kilometers apart. If Devin's rate of speed is three times that of Makayla's, what is Devin's speed?

Jason and Samuel left their homes on their bikes toward each other at 9:00 a.m. They live 122 miles apart. Samuel was traveling at a speed that was twelve mph more than the speed of Jason. At 1:40 p.m. they caught up with each other. How fast was Jason traveling?

A plane takes 4 hours and 18 minutes to fly from Boston to Philadelphia and 4 hours to fly back. The distance between Boston and Philadelphia is 1,300 miles. If the plane flies at the same engine speed both ways, what is the wind velocity?

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Page 3: Math Workbook Algebra - Free Worksheets and Math

Name:edHelper

Get a fidget spinner! Spin it. I needed to spin time(s) to finish.

The diameter of a circle is 1,098 cm. What is the radius of this circle?

What 3 coins add up to 75 cents?

How many meters are there in 85 kilometers?

The perimeter of a rectangle is 14 cm. The longer side is 5 cm. How long is the shorter side?

Round 50,237 to the nearest hundred.

It was 76 degrees outside. What would the temperature be if it got 22 degrees colder?

Simplify.

1520 =

If 5x = 80, then x =8 + 4 8 + 3

What is the remainder of 44 divided by 5?

If a = 7 and b = 50.5,then3a + b - a =

y = x + 17y = 23What is the value of x?

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Page 4: Math Workbook Algebra - Free Worksheets and Math

Name:edHelper

Anthony and Morgan drove together for seven hours. So far, they have driven two hundred ninety miles. Anthony drove the first three hours. Morgan drove the rest of the way at a speed ten less than two times Anthony's speed (in miles per hour). What was Anthony's average driving speed?

Joshua drove to the mall, which is eleven kilometers away. He left at 1:58 and arrived at the mall at 2:18. What was his average driving speed?

Amanda can run 8 57 miles in one

hour. How many miles can Amanda

run in forty-five minutes?

Hannah left at 1:51 to visit her grandma's house. She arrived at 6:11 after driving fifty-two mph. On the way home, Hannah drove fifty-five mph. How long will it take Hannah to drive home?

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Page 5: Math Workbook Algebra - Free Worksheets and Math

Name:edHelper

Fill in the missing numbers. How? The sum of the four surrounding numbers is in the center of each square.

Exactly one of the four numbers has to be one of these numbers: 5 12, 7 1

3, or 9 2

5.

The other three numbers have to all be DIFFERENT and must be from these: 2 12, 1 1

2, 12, or

8 12.

21 910

2 12 9 2

5

1 12

8 12

19 910

1 12

8 12

17

8 12

17 2 12

12

19 56 19 5

6 19 56 11 5

62 1

2

13 910 18 5

6 18

16 10 11 56 21 9

10

17 11 56

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Page 6: Math Workbook Algebra - Free Worksheets and Math

Name:edHelper

Brittany paid $54 for a wireless phone after a forty percent discount was applied to the price. What was the original price of the wireless phone?

Jacob received his exam back and saw that he got 90% of the questions right. If he had answered sixteen more questions correctly, he would have received a grade of 100%. How many questions did Jacob answer correctly?

Christopher and Ethan were running for mayor in a small town. Christopher received thirty-four percent of the votes. Ethan received five thousand, eighty-two votes. How many votes were cast in the town, assuming that everybody in the town voted for either Christopher or Ethan?

Today, EdHelper Airlines has flown fifty-five flights, with twelve more flights to depart. Forty-five of departed flights arrived on-time. If EdHelper Airlines wants to achieve a seventy-seven percent on-time arrival for the entire day, how many of the rest of the departing planes need to arrive on-time?

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Page 7: Math Workbook Algebra - Free Worksheets and Math

Name:edHelper

Caleb has a credit card from Arctic Bank and another from EdHelper Bank. He has a total of $1,780 charged on his credit cards. Arctic Bank charges 15% simple interest per year and EdHelper Bank charges 10% per year. The yearly interest charge Caleb needs to pay is $225.50. Caleb's father paid off his credit card debt owed to Arctic Bank.How much yearly interest will Caleb now owe?

Sarah and Austin each invested money in a one-year CD at Party Bank. The bank pays 4.18% yearly interest, compounded annually. Austin invested three hundred dollars less than two times the amount that Sarah invested. Party Bank will pay Sarah and Austin a total of $225.72 in interest for the year. How much money will be in Austin's account after it matures in 1 year?

Zachary's investment of 300 shares of XJN has lost 10% of its value this year. The investment is now worth $2,700. How much was the investment originally worth when Zachary purchased the shares?

Lauren invested three times as much money at 8.7% as she invested at 3.35%. If her yearly simple interest is $268, how much money was invested at 8.7%?

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Page 8: Math Workbook Algebra - Free Worksheets and Math

Name:edHelper

A recipe for pound cake calls for 6 eggs and 2 cups of all-purpose flour. Eric only has 5 eggs. How many cups of all-purpose flour should he use?

Holly collected all the biggest rocks that she could find. She found 38 rocks with an average weight of 715 grams. How much do all the rocks weigh in kilograms?

Emily is looking forward to hanging out with her friends, but she can't decide what to wear! Luckily, she has decided on one thing. She knows she wants to wear a crop top tee,a pair of shorts, and something for her feet. She can choose among 10 crop tops and 3 pairs of shorts. For footwear, she has 3 different pairs of sneakers, 2 flip flops, 2 sandals, and 4 shoes. How many different outfits can she make with one crop top, one pair of shorts, and something to walk on?

Seven players in a basketball game scored points. The players averaged 10 points each. Here are their scores. 8, _______, 12, 6, _______, 12, 8 Can you fill in the blanks with any possible numbers that would work?

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Page 9: Math Workbook Algebra - Free Worksheets and Math

Name:edHelper

Jessica lives at the point (-8, 6). She wants to go to the closest mall. There are two malls

on the map. One is at (-9, 5) and the other is at (-6, 4). Which is closer to her?

In art class the teacher asked the class to make a rectangle.

"How big?" asked Megan.

Mrs. Thomas is not just the art teacher, but she is also the math teacher. She loves to talk

numbers! "Well," she started. "I don't want to give you the exact size, but the ratio of the

height to width of your drawing should be 6 to 5. And please don't do 6 inches to 5 inches.

I've already done that!"

Megan wants to draw the rectangle. She wants to use as much of her 25 12 by 4 paper

as possible. What size should she draw the rectangle?

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Page 10: Math Workbook Algebra - Free Worksheets and Math

Name:edHelper

x + =

+

+

=

8

56

10

17 15 9

B A B

A A ?

C B B

Each letter is a whole number.

Fill in the equations using the chart:

C x B + B = 10 x A + B = 8 + + = 15

+ + = 17Additional hints:

C = A + 2 A < 17

Equations and Hints:

? =

Solve:

Show Work:

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Page 11: Math Workbook Algebra - Free Worksheets and Math

Name:edHelper

Anna is trying to figure out how many different remainders she can get when she divides by 7. She started dividing 71 by 7, then 72 by 7, and so on. Show her how many different remainders can be made.

What would happen if you divide larger numbers like 710 by 7? Can you get different remainders?

Mary is going to meet up with her friend Jessica at the mall. It's Jessica's birthday, so Mary is planning on treating her to lunch and the movies. a. Where do you think Mary should take Jessica to lunch? Estimate how much lunch will cost. b. How much do you think 2 movie tickets will cost? Remember you are just estimating! c. How much money would you tell Mary to take out of the ATM so she has enough money for the mall?

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

a.

176 177 178 179

b.

441 442 443 444 445

If this pattern continues, color how these squares would look:

Circle the choice that has the smallest value.

a. 32 + 32 or (3 + 3)2

b. 152 + 212 or (15 + 21)2

c. 372 + 282 or (37 + 28)2

d. (2 + 2)2 or 21 + 22

e. (6 - 4)1 or 63 - 41

f. 102 - 6 1 or (10 - 6)2

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Page 12: Math Workbook Algebra - Free Worksheets and Math

Name:edHelper

Jack and Gavin are playing a new game. The game uses some special cards and a complex scoring system. The exact scoring system is not important for the purposes of this question. Jack has cards worth 4, 7, 10, 9, and 3 points respectively. Gavin has the same number of cards, but his cards add up to six points more than Jack's cards. If Gavin has cards worth 12, 11, 3, and 4 points, what must his other card be worth?

Mushrooms produce a tremendous number of spores. However, very few spores go on to establish a new mushroom colony. A "colony" is actually a little bunch of fuzzy-looking cells called a mycelium. Let's say a particular mushroom produces a billion spores in a day. If one-fifth of one percent of those spores successfully produces a new mycelium, how many of the spores were successful?

If the probability that a chicken will cross the road is half, then what is the ratio that the chicken will cross the road to the chicken will not cross the road? _______ to _______

There are six black marbles, nine red marbles, and ten white marbles in a bag. The first marble selected at random from the bag is red. The red marble is not put back in the bag. What is the probability of pulling out a red marble on the next try?

Proteins are made from linear sequences of amino acids. How many different proteins could be made from the amino acids phenylalanine, glutamic acid, and lysine?

Sarah and her father went to Paulo's Pizzeria for pizza with everything except anchovies. The pizza was divided into six slices. Sarah's father ate a third of the pizza. Sarah ate the rest. How many slices of pizza did Sarah eat?

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Page 13: Math Workbook Algebra - Free Worksheets and Math

Name:edHelper

A good tasting coating needs to be put on Micromed's new fever tablet. Each tablet without the coating has a mass of 300 mg. Experiments have shown that the coating cannot make up more than 1/39 of the mass of each tablet (otherwise some of the tablet processing machinery doesn't work right). So what is the maximum mass of the coating allowed on a 300-mg tablet? Round your answer to the nearest hundredth.

It seemed like the graduation speech would last forever. Peter leaned over to his father and asked in a discreet whisper, "What time is it now?" His father told him it was one-sixth of an hour after the last time he asked. If it was 3:47 p.m. the last time he asked, what time is it now?

Robert can till the garden at a rate of two hundred ninety-five square centimeters per minute. How long will it take him to till the garden if it is eleven meters long and six meters wide? Round your answer to the nearest minute.

With the help of Mr. Bloop, some middle school students measured the growth rate of a fungus. An old fashioned (but still useful) apparatus called a race tube was used. A small piece of the fungus was placed at one end of a long tube that had a layer of growth medium filling it about half way. Then the distance the fungus grew down the tube was measured each day. At the end of four weeks the fungus had advanced 26 cm along the tube. What was the average speed of advance of the fungus in m/s? Express your answer using scientific notation.

In the local coed softball league, the male to female ratio is 6:8. If there are 200 players in the league, how many are female?

Which product is closer to zero, the product of (53)(-11), or the product of (-58)(-123)?

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Page 14: Math Workbook Algebra - Free Worksheets and Math

Page 1 Answers

1 229 minutes (3 hours and 49 minutes)

2 81 kph

3 14 mph

4 22 mph towards Boston (note: velocity requires direction. Speed of flight: 303 mph and 325 mph)

Page 2 Answers

Page 3 Answers

1 30 miles per hour

2 33 kph

36 1528 miles

4 It will take 4 hours and 6 minutes (It took her 4 hours and 20 minutes to get to grandma's)

Page 5 Answers

1 $90

2 144 questions (out of 160)

3 2618 for Christopher and 5082 for Ethan = 7700 total votes

4 7

Page 6 Answers

1 $83 for the 10% interest on the $950 owed to EdHelper Bank

2 $3,646.30

3 $3,000

4 $2,730

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