Systems of Equations
Solve the system: y = 2x and y = x + 3
What is x = 3, y = 6?
In the sequence 2, 5, 8, 11, 14, what is the common difference?
What is 3?
Solve: 2x + 3 less than 11
What is x less than 4?
Factor: x2 - 25
what is (x-5)(x+5)
An item costs 15 dollars. After a 20 percent discount, what is the sale price?
What is 12 dollars?
Solve: 2x + y = 7 and x - y = 2
What is x = 3, y = 1?
What is the 5th term of the arithmetic sequence where the first term is 10 and the common difference is -2?
What is 2?
Which inequality represents "at least 10"?
What is x greater than or equal to 10?
Add: (3x2 + 2x) + (x2 - 4x)
What is 4x2 - 2x?
A plant grows 2 inches per month. If it starts at 10 inches, write an equation for its height h after m months.
What is h = 10 + 2m?
Two candy boxes cost 5 dollars total. One box costs 1 dollar more than the other. What is the cost of the more expensive box?
What is 3 dollars?
An arithmetic sequence has a first term of 7 and a common difference of 4. What is the sum of the first 4 terms?
What is 46?
Solve: -3x - 2 is greater than or equal to 7
What is x less than or equal to -3?
Factor completely: 2x2 + 8x
What is 2x(x + 4)?
A bacteria population starts with 100 cells and triples every hour. After 2 hours, how many cells are present?
What is 900 cells?
Solve the system: 3x - 2y = 8 and x + y = 5. What is the value of y?
What is y = 1?
A geometric sequence has a first term of 2 and a common ratio of 3. What is the 4th term?
What is 54?
A number is between 5 and 15 (inclusive). Write this as a compound inequality using x.
What is 5 is less than or equal to x is less than or equal to 15?
Subtract: (5x2 + 3x - 2) - (2x2 + x - 4)
What is 3x2 + 2x + 2?
A car rental costs 50 dollars per day plus 0.35 dollars per mile. If a customer rents for 3 days and drives 150 miles, what is the total cost?
What is 202.50 dollars?
A theater sells adult tickets for 12 dollars and child tickets for 8 dollars. One show sold 50 tickets for 520 dollars total. How many adult tickets were sold?
What is 30 adult tickets?
An arithmetic sequence starts with 100 and has a common difference of -5. After how many terms will the sequence reach a value of 50?
What is 11 terms?
A phone plan costs 40 dollars monthly plus 0.25 dollars per text. If your budget is 50 dollars, how many texts can you send? Write your answer as an inequality solution.
What is x is less than or equal to 40?
Factor: x2 + 7x + 12
What is (x + 3)(x + 4)?
A company's revenue is 500x dollars where x is the number of items sold. The cost to produce x items is 200x plus 1000. What is the profit function?
What is P(x) = 300x - 1000?