Variables on Both Sides
Solve the following equation:
2x = x + 15
What is x = 15?
Solve the following inequality:
4x > 8
What is x > 2?
Evaluate the expression if y = 8:
2y
What is 16?
Alexis is going to the Homecoming game. She has $18 to spend. Each drink costs $3 and each snack costs $5. Write an inequality to represent how many snacks she can buy if she buys 1 drink.
What is 5x + 3 >= 18?
Solve the following for the length l:
A = lw
What is A/w = l
OR
What is l = A/w
Solve the following equation:
2x - 6 = 4x
What is x = -3?
OR
What is -3 = x?
Solve the following inequality:
x - 10 > -5
What is x > 5?
Evaluate the expression if x = 5:
4x - 3
What is 17?
Landon and Bryson are reading books for their English project. Landon has already read 50 pages and is able to read 30 pages per day. Bryson has already read 100 pages and is able to read 20 pages per day. They want to know when they have both read the same amount of pages. Write an equation to represent the situation.
What is 30x + 50 = 20x + 100?
Solve the following for x:
x + y = z
What is x = z - y
OR
What is x = -y + z
Solve the following equation:
4x + 10 = x - 2
What is x = -4?
OR
What is -4 = x?
Solve the following inequality:
x / -4 > 3
What is x < - 12?
Evaluate the expression if x = -3
3(x - 2) + 10
What is -5?
Julian and Chuck are planning a day trip with their friends. Julian wants to go to a waterpark that charges $40 per person for admission, plus $5 for tube rentals. Chuck wants to go to a rock-climbing gym that charges $150 to rent the facility, plus an additional $20 per person. Write an equation to represent how many people will need to attend for both trips to cost the same?
What is 40x + 5 = 20x + 150?
Solve the following for length l:
V = lwh
What is V/wh = l?
OR
What is l = V/wh?
Solve the following equation:
2x + 10 = 2(x + 5)
What is infinite solutions?
Solve the following inequality:
4x - 3 < 13
What is x < 4?
Evaluate the expression if x = 3 and y = -5:
3x - 10 + 2y
What is -11?
Max and Kolton both brought gummy bears on a family car trip. At the beginning of the drive, Max had twice as many gummy bears as Kolton. While on the road, Max ate 23 of her gummy bears and Kolton ate 7 of his. When they got to their destination, Max realized they each had the same number of gummy bears left. Write an equation to represent the situation.
What is 2x - 23 = x - 7?
Solve the following for the height h:
A = 1/2 bh
What is 2A/b = h?
OR
What is h = 2A/b?
Solve the following equation:
5(x - 3) = 3x - (5 - x)
What is x = 10?
OR
What is 10 = x?
Solve the following inequality:
7 - 2x < 15
What is x > -4?
Evaluate the expression if x = 10 and y = 5
4(x - 3) + 2y + 30
What is 68?
Henry wants to earn at least $500 to buy a new video game console. He currently has $200 saved up and earns $15 dollars an hour at his current job. Write AND solve an inequality to determine how many hours he has to work to buy a new video game console.
What is x >= 20?
OR
What is at least 20 hours?
Solve for the width W:
P = 2L + 2W
What is (P-2L)/2 = W?
OR
What is W = (P-2L)/2?