Distance on the coordinate plane
Point A is at (3, 2) and point B is at (3, 8). What is their distance?
8-2=
6 units
Point A is (4, 2). It is reflected over the y-axis. What are the new coordinates?
7+3×42
55
4x+3+2x+5
6x+8
A school fundraiser sells packs of 12 pencils for $6. A student wants to know how much each pencil costs if the price is the same for every pencil in the pack. What is the unit rate?
$0.50 per pencil
What is the distance between (0, 0) and (5, 0)?
5-0=
5
Point B is (−3, 5). It is reflected over the x-axis. What are the new coordinates?
(-3,-5)
(15−3)2÷6+4
28
6a+2−a+7a
12a+2
A delivery truck travels 150 miles in 3 hours while making a shipment across the state. If the truck keeps the same speed the whole time, how many miles does it travel in 1 hour?
50 miles per hour
Point A is at (4,2) and point B is at (7, 2)
What is the distance between them?
7-4=
3
Point C is (6, −7). It is reflected over the y-axis. What are the new coordinates?
(-6,-7)
25−2×(6+3)2
-137
5x+3+2x+6
7x+9
A teacher buys 8 notebooks for a total of $20 to use in her classroom. If each notebook costs the same amount, what is the cost of one notebook?
$2.50 per notebook
What is the distance between (1, 3) and (6, 3)?
6-1=
5
Point D is (−2, −4). It is reflected over the x-axis. What are the new coordinates?
(-2,4)
8+23×(10−6)
40
9y−4y+6+2y
7y+6
A runner is training for a race. She runs 2.5 miles in 20 minutes at a steady pace without stopping. What is her unit rate in miles per minute?
0.125 miles per minute
point A is at (−2, 7) and point B is at (−2, −1). What is the distance between them?
7-(-1)=8
Point E is (5, −6). It is reflected over the y-axis, then reflected over the x-axis. What are the final coordinates?
(-5,6)
40÷(5+3)+32×4
41
6x+3+2x−5+4x
12x-2
A bakery uses 3 cups of sugar to make 8 batches of cookies for a school event. If every batch uses the same amount of sugar, how many cups of sugar are used per single batch?
0.375 cups per batch