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Equations & Inequalities
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100
Look at the following sequence: 2, 6, 18... What is the fifth number in the sequence?
What is 162?
100
Look at the expression: -(2x + 3y). What is the value of the expression if x = -4 and y = 2?
What is 2?
100
Greg rents a bicycle during his summer vacation. The total cost to rent the bicycle includes a one-time charge of $12 and an hourly rate of $4.50 per hour. Greg spends a total of $30 for his bike rental. How many hours did he rent the bicycle?
What is 4 hours?
100
A recent survey states that 59% of Americans are unhappy with our current government. If 2,000,000 Americans were surveyed, how many stated that they are unhappy with the government?
What is 1,180,000?
100
Forever21 bought a jacket from the factory for $10. They sold the jacket to customers for $25. What was the percent of markup for the jacket?
What is 150%?
200
Determine the next term in the sequence: -90, -83, -76, ...
What is -69?
200
Solve the equation: 3x = 4(x - 1)
What is x = 4?
200
Solve the inequality: 12 - 4x < 20
What is x > -2?
200
The state sales tax rate in Pennsylvania is 6.5%. What is the total price of an item that costs $20?
What is $21.30?
200
Two right triangles are similar. The hypotenuse of the smaller triangle is 13 cm long, while the hypotenuse of the larger triangle is 19.5 cm long. The base of the smaller triangle is 5 cm long. How long is the base of the larger triangle?
What is 7.5 cm?
300
Determine the next term in the sequence: -5, -4, -1, 4, ...
What is 11?
300
Terry is going to the county fair. She has two choices for purchasing tickets. Option A requires an admission fee of $6 plus $0.50 per ride. Option B requires an admission fee of $2 plus $0.75 per ride. How many rides would Terry have to go on for the total cost of ticket A and ticket B to be equal?
What is 16?
300
An LCD flat screen television is listed as being 50 inches. This distance is the diagonal distance across the screen. If the screen measures 30 inches in height, what is the actual width of the screen?
What is 40 inches?
300
An TV is on sale at a 25% discount. If the sale price of the TV is $225, what was its original price?
What is $300?
300
For quality control, a t-shirt company conducted a random sampling of their t-shirts. Four were found to be defective while 96 were found to have no defects. The company makes 4000 t-shirts in a day. Based on this sample, how many defective t-shirts can the company expect to make in a day?
What is 160?
400
Look at the pattern: 4, 12, 36, ... What is the fifth term of the sequence?
What is 324?
400
The formula to approximate the height (h) of a male, in inches, is shown where t is the length of the tibia bone in inches: h = 2.4t + 32.2. Paul's height is 67 inches. What is the approximate length, in inches, of Paul's tibia bone?
What is 14.5 inches?
400
Solve the inequality: -4(x + 1) + 3 > 7
What is x < -2?
400
A store's profit is 3% of its sales. If a store sells $400,000 in merchandise in one year, what is the store's profit for the year?
What is $12,000?
400
A quality control engineer for the Have Fun Toys Company tested video game cartridges. The engineer found 3 to be defective. The company plans to produce 500,000 video game cartridges this year. Based on the findings, how many video game cartridges can be expected to have NO defects?
What is 498,125?
500
Determine the next term in the sequence: 2, 0, 4, -2, 6, ...
What is -4?
500
Terry's salary of $30,000 is double her salary of last year minus $5,000. Determine Terry's salary from last year.
What is $17,500?
500
Jay lost his mother’s favorite necklace, so he is renting a metal detector to try and find it. A rental company charges a one-time rental fee of $15 plus $2 per hour to rent a metal detector. Jay has only $34 to spend. What is the maximum amount of hours he can rent the metal detector?
What is 9 hours?
500
Taylor was earning an income of $100. In June, his income was reduced by 10%. In September, his income increased by 10%. How much was Taylor earning, in dollars, in September?
What is $99?
500
Michael Jordan is 6 feet 6 inches tall. The city of Chicago decided to make a larger-than-life statue of Jordan using a scale of 1 inch to 1.5 feet. How tall will the statue be?
What is 117 feet?