Exponents
3-2
1/32 or 1/9
Simplify
√ 169
13
5m + 12 - 7m - 8 + 6w
-2m + 4 + 6w
y - 6 = 2
y=8
A saltwater solution for an aquarium calls for 35 parts salt to 1000 parts water. Tarek used 7 tablespoons of salt and 200 tablespoons of water.
represents
both have a ratio of 7 : 200
540
1
Simplify
√ 324
18
-3(5x - 2y)
-15x + 6y
1/8 = 1/4 + x
x = -1/8
A conveyor belt moves at a constant rate of 12 feet in 3 seconds. A second conveyor belt moves at a constant rate of 16 feet in 4 seconds.
represents
both have a ratio of 4 feet to 1 second
y-9
1/y9
write as a decimal
5/8, is it terminated?
0.625
Terminated
(–9x + 8) – (–14x + 2)
5x + 6
24 = -3c - 6
c = -10
On Saturday, Manny jogged 5 laps in 12 minutes. On Sunday, he jogged 8 laps in 18 minutes.
does not represent
m0n-2
1/n2
write as a decimal
1/6
is it terminated
0.1666...
Not Terminated
-2/7 (21x - 35) - (-27x + 14)
21x - 4
4x + 12 = - 16
x = -7
A pancake recipe calls for 3 cups of mix and 2 cups of milk. Tate uses 12 cups of pancake mix and 8 cups of milk to make pancakes for a large group.
represents
both have a ratio of 3 : 2
(-4)-2
1/42 or 1/16
write as a decimal
2/9
is it terminated?
0.222...
Not Terminated
1/2 x + 3/5 - 3/7 x - 1/10
1/14 x + 1/2
5x - 1.4 = -24.9
x = -4.7
During the spring, Mr. Salina's grass grows at a rate of 1.5 inches per week. During a rainy stretch in the summer, his grass grew a total of 8 inches in 4 weeks.
does not represent
the ratios are different