Heart of Algebra
Passport to advanced mathematics
Problem solving and data analysis
Geometry
Math 101
100

Solve for I

3I - 6 ≥ 8

I ≥ 14/3

100

Solve

4x2 = 52

- √13 and √13

100

7 pounds of plums makes 8 rolls of fruit leather. If every batch of fruit leather requires the same amount of plums, how many pounds of plums are required to make 20 rolls of fruit leather?

17.5 



100

An angle formed when two things meet.

rays

100

Mr. Jones is calculating the average score for quiz 1 in his class. If the average is below a 77, Mr. Jones adds 10 points to everyone's quiz score. 

Scores:

Kila - 79

Alex - 83

Andrew - 70

Alyssa - 63

Beyonce - 72

Nick - 74

Jasmine - 80

Julian - 66

What is Jasmine's final quiz score?


90

200

3 + 10X - 5 = (A + 1) × X - 2

In the equation shown above, A is a constant. For what value of A does the equation have infinitely many solutions? 

9

200

Which of the following equations is equivalent to 3√27x4y?

A) 3xy2

B) 3x4/3y2

C) 3x2y2

D) 9xy2


3x4/3y2

200

Erika plans to purchase seed to plant grass in a large field. She has a map of the region and calculates the area of the region on paper to be 180 cm2. The scale on the map shows that 1cm = 20 ft. If Erika plans to cover every 400 ft2 with one pound of seed, approximately how many pounds of seed will she need to cover the entire field?

180 pounds of seed

200

True or False: A line never ends.

True

200

If a cake is cut into thirds and each third is cut into fourths, how many pieces of cake are there?

12 pieces of cake. Yum!

300

Alice fills up the gas tank of her car before going for a long drive. The equation below models the amount of gas, g, in gallons, in Alice's car when she has driven m miles. What is the meaning of the 32 in the equation?

g = 15 - m/32

Alice's car can travel 32 miles to the gallon.

300

3 + √6m - 26 =

What is the sum of all the solutions to the above equation?

12

300

Today Ebuka opened a new box of Captain Crunch. He ate a bowl of the cereal, which was 6% of the cereal in the box. If Ebuka continues to eat this much cereal in each bowl, approximately how many more bowls of cereal can he expect to get from this box? 

15.67 bowls

300

Angles are measured using this tool.

Protractor

300

Kyle started a new job as a telemarketer and, every day, he is supposed to make 3 more phone calls than the day previous. If he made 10 phone calls his first day, and he meets his goal, how many total phone calls does he make in his first two weeks, if he works every single day?

413
400

Tickets for a play were $2 for each child and $4 for each adult. At one showing of the play, one adult brought 4 children and the remaining adults brought 2 children each. The total ticket sales from the children and adults was $60. How many children and adults attended the play?

16 children and 7 adults

400

Currently, a local newspaper company sells print subscriptions for $9.30 a month and has 2400 subscribers. Based on a survey conducted they expect to lose 20 subscribers for each $.10 increase from the current monthly subscription price. What should the newspaper company charge for a monthly subscription in order to maximize the income from the print newspaper subscriptions?

A) $1.35

B) $9.30

C) $22.80

D) $10.65


$10.65

400

In order to connect to the internet, dedicated computers are kept in a server room. To prevent overheating, the density of the computers in a server room must not exceed 2.1 computers per cubic foot. (1 meter is about 3.28 feet) What is the maximum number of computers per cubic meter? 

74.10

400

This is a four-sided figure.

Quadrilateral

400

Daily Double

There are 100 people working on a performance: 52 dancers, 12 stage technicians, and 36 musicians. Among the dancers, 14 are ballet dancers, 20 are jazz dancers, and 18 are modern dancers.

What is the probability of selecting a ballet dancer from those working on the performance, given that the person selected is a dancer?

500

A cell phone producer distributes boxes of units to retail stores. A unit is either a cell phone or an accessory, and each box can have up to 24 units composed of cellphones and accessories. In addition, each box must have at least as many cell phones as accessories. Find the best systems of inequalities model that describes the above situation. 

a + C ≤ 24

c ≤ a

500

The following equation shows Kepler's 3rd law of planetary motion. It relates the time, (in days), that a planet takes to revolve once around our sun to the distance, (in kilometers), of that planet from the sun. 

t= 3.98 × 10-20 × d3

Mars is approximately 4 times as distant from the sun as mercury is. 

About how many times longer would Mars's revolution time be than for mercury? Round your answer to the nearest whole number. 

8 times longer

500

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

19

500

Study an example of a cube. How many faces, edges, and vertices are there?

6 faces, 12 edges, 8 vertices

500

Josh earns $14.00 per hour at his job working at Taco Bell. Last week, Josh worked 35 hours. Josh is paid weekly and wants to take his girlfriend on a date next Friday. Josh is planning on spending $100 on his date. The state government takes out 6% for taxes each paycheck. The federal government takes out 18% for taxes each paycheck. Josh also is responsible for his future and elects to contribute 15% of his pre-taxed earnings to his retirement fund. How much money will Josh have from his paycheck after his date? Round your answer to the nearest cent.

$221.04

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