Real Number System
2 times the square root of 49.
14
x/−3.5 + 33 = 30
x=10.5
The perimeter of a rectangle is 36 inches. One side is 12 inches and one side is 4x-6 inches. Write and solve an equation to find the value of x.
x=3
Gym A charges members $100 to sign up plus $23.75 each month. Gym B charges members $10 to sign up plus $43.75 each month. How many months would a member need to work out for Gym A to be less expensive than Gym B? Write an inequality to represent the situation.
$100 + $23.75x < $10 + $43.75x
The square pool at Sammie’s
gym has an area of 144 square
feet. What is the length of one
side of the pool?
12 feet
17 – 1/9x = 10
x=63
An acorn is falling from 13 feet in the air. If
it descends 4.8 feet every second, write and
solve an equation to determine how long it will
take for the acorn to be 1 foot above the
ground.
13-4.8x=1
x=2.5 seconds
Moving Company A charges a fee of $23.75 plus $100 per hour. Moving Company B charges a fee of $43.75 plus $10 per hour. How many hours would it take for Moving Company A to be no more expensive than Moving Company B?
$23.75 + $100x </= $43.75 + $10x
Between which two whole
numbers does 150 lie?
12 and 13
-4 + w + 17 – 2/3w = 16
w=9
A sprout in Jessie’s garden is 5 1/5 cm tall and
is growing 1 3/10 cm each week. Write and solve
an equation in order to determine how many
weeks it will take for the plant to be 13 cm tall.
5 1/5 + 1 3/10x=13
6 weeks
Vera is currently using 16,000 MB of
storage on her phone, and she is deleting 2.2
MB of music each minute. Keira is currently
using 11,275 MB of storage on her phone, and
she is adding 16.7 MB of music each minute.
Write an inequality that could be used to find
the number of minutes it will take for Vera to
be using no more than the amount of storage
that Keira is using.
16000 - 2.2x </= 11275 + 16.7x
What kind of number is the square root of 70?
Irrational
-12c – 4 + 7.5c – 11 = -6
c=-2
A mountain gorilla weighs 135 pounds and is gaining 1/2 pound each week. An eastern gorilla weighs 143 pounds and is losing 1/4 pound each week. Write an equation to determine x, the number of weeks that it will take until the two gorillas weigh the same amount?
135+1/2x=143-1/4x
Xander’s water bottle has 15.4 oz of water
in it and Xander is drinking 0.5 oz of water
each second. Leon’s water bottle has 5.4 oz of
water in it and Leon is adding 0.75 oz of water
each second.
Write an inequality that could be used to find
the number of seconds it will take for
Xander’s water bottle to have a fewer number
of ounces than Leon’s water bottle.
15.4 – 0.5x < 5.4 + 0.75x
A marine biologist discovered species with
a diameter of 0.00085 inches. Express this
measurement using scientific notation.
8.5 x 10-4
2/3x – 24 = 1/6x – 6
x=36
A video game store allows customers to rent games for $4.75 each. Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal.
4.75x=54+2.5x
15.4 – 0.5x < 5.4 + 0.75x
x >/= 2.5