Write an expression
You start a road trip with 200 miles left to drive. If you travel at a constant speed of m miles per hour, write an expression for the distance remaining after 10 hours
200 - 10m
6x + 3 - 7x - 8
-x - 5
3(x + 4)
3x + 12
2x - 12
2(x-6)
You are buying supplies for two different classes. For Art, you buy x sketchbooks for 3$ each and $5 of paint. For Math, you buy x notebooks for $4 each and a $9 calculator.
(3x + 5) + (4x + 9) = 7x + 14
Each large pizza (p) costs $15. However, you have a coupon for $10 off your total order. Write an expression for the total cost of buying p pizzas with the coupon.
15p - 10
-8x + 2x - 4 + 9+ 6x
5
-2(3y - 4)
-6y + 8
28x + 4
4(7x + 1)
Last year, a company’s expenses were represented by (16y - 18). This year, their expenses decreased to (15y - 12).
(16y - 18) - (15y - 12) = y - 6
A candle is 30 centimeters tall. Once lit, it burns away at a rate of 2 centimeters per hour (h). Write an expression for the height of the candle after it has been burning for h hours.
30 - 2h
-5y - 7 - 8 + 9y
4y - 15
-3(2c + 4) + 5c
-c - 12
15a - 25 + 10k
5(3a - 5+ 2k)
You have two rectangular flower beds. The area of the first bed is (5w - 2) square feet. The area of the second bed is (3w + 10) square feet. What is the total?
(5w - 2) + (3w + 10) = 8w + 8
A baker has a giant bag of flour weighing f pounds. She uses one-third of the bag to make bread, then uses an additional 2 pounds for cookies. Write an expression for the total flour used.
4a + 8 - 10b - 2a + 3b - 7
2a - 7b + 1
11 + 6(2x - 4) - 5x
7x - 13
28k - 33
CBF
A warehouse starts the day with a shipment of x boxes, plus 25 extra units already on the shelf. By noon, they have shipped out 3 full shipments of x boxes and 10 individual units. How much stock is left?
(x + 25) - (3x + 10) = -2x + 15 or 15 - 2x
A coach is buying gear for 5 players. Each player needs a jersey that costs x dollars and a pair of customized socks that cost $12. Write an expression for the total cost for the whole team.
5(x + 12)
3x - 4y + 5x - 1 - 3y - 12x -7
-4x - 7y - 8
3(4y - 5x) - 4(-x + 2y)
4y - 11x
Factor using a negative GCF:
-36y + 27
-9(4y - 3)