Solve the System
The solution to the system of equations:
r + s = -6
r - s = -10
What is (-8, 2)?
The sum of two numbers is 104. Their difference is 68. What are the numbers?
What are 86 and 18?
Are the lines parallel, perpendicular, or neither? How do you know?
y = 2x + 3 and y = 2x - 7
What is PARALLEL; the slopes are the same (m=2)?
Is 0.89 a rational number? Why or why not?
What is yes; the decimal terminates?
What does it mean for a decimal to repeat?
What is the decimal has a pattern that goes on infinitely?
The solution to the system of equations:
8a + 5b = 9
2a - 5b = -4
What is (0.5, 1)?
Marco and Elena went to a local electronics store to buy accessories for their office. Marco bought 5 charging cables and 2 power banks for a total of $110. Elena bought 3 charging cables and 4 power banks for a total of $150.
If all charging cables cost the same and all power banks cost the same, what is the price of one charging cable and one power bank?
What is the cost of one charging cable is $10 and the cost of one power bank is $30?
Are the lines parallel, perpendicular, or neither? How do you know?
y = 3x - 5 and y = 1/3x + 5
What is NEITHER; the slopes are reciprocals (m=3 and m=1/3), but not opposites (positive and positive)?
Is 1.14141414141414...
rational? Why or why not?
What is yes; the decimal repeats?
What does it mean for a number to terminate?
What is the digits of the decimal do not go on forever?
The solution to the system of equations:
2x+4y=12
4x+8y=6
What is no solution?
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?
What is $30?
A parallel line to y = 5x + 2 and goes through the point (2, 3).
What is y = 5x - 7?
Is 31.4564778...
rational? Why or why not?
What is no; the decimal does not repeat or terminate?
Is the 0 in 55.07 significant? Why or why not?
What is yes; the 0 is inside the number, not on the end?
The solution to the system of equations:
2a - 4b = 12
-8a + 16b = -48
What is infinitely many solutions?
The athletic department sold 600 tickets for the season opener. Tickets purchased in advance were $5.00, but the price increased to $7.50 on the day of the game. If the total collection was $3,500, determine the distribution between pre-sale and game-day ticket sales.
What is 400 pre-sale, and 200 game-day tickets?
A perpendicular line to y = 1/4x + 3 and goes through the point (-3,1).
What is y = -4x - 11?
Is 8.34234234...
rational? Why or why not?
What is yes; the decimal repeat?
Is pi/pi rational? Explain.
What is yes; pi divided by pi is 1, and 1 is rational?
The solution to the system of equations:
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
What is (24, 8)?
Mr. Vogel left $25,000 to be split between his son and daughter. If the daughter received $5,000 less than the son, how much money did each child receive? Let x represent the son, and let y represent the daughter.
What is $15,000 for the son and $10,000 for the daughter?
A perpendicular line to y = -x + 4 and goes through the point (5, -1).
What is y = x - 6?
Is -70000.02525...
rational? Why or why not?
What is yes; the decimal repeats (25) after the 0 in the tenths place?
True/False: Irrational numbers are not useful because we cannot write them as fractions. Explain.
What is false; pi is used to find the area and circumference of a circle?