Solving Algebraic Equations
3x = 24
x = 8
p + 5 > 20
p > 15
There are 252 sixth grade students. They were split into 9 different math classes. If they are split evenly, how many students will be in each class? Write an equation and solve.
9s = 252
s = 28 students
Children under 8 must be accompanied by an adult.
t + 45 = 75
t = 30
y – 10 < 15
y < 25
George buys 10 video games. He spent a total of $250. How much was each video game?
10m = 250
m = $25
The length of a piece of wire is longer than 20 feet.
f > 20 or 20 < f
q - 13 = 54
q = 67
4x ≤ 32
x ≤ 8
Carl is 19 years younger than Josh. Carl is 34. Write and solve an algebraic equation.
y - 19 = 34
y = 53 years old
Vera's baby brother is not 2 years old.
y ≠ 2
5n = 150
n = 30
m/5 ≥ 3
m ≥ 15
Andy had some basketball cards. After he bought 12 more, he had 48 cards. How many cards did Andy have to start? Write and solve an algebraic equation.
n + 12 = 48
n = 36 cards
Steve's height is at least 48 inches.
h ≥ 48 or 48 ≤ h
m/150 = 5
m = 750
7x > 105
x > 15
The 15 members of the Ski Club go on a group ski trip. The daily rate is $30 per ticket. Write an solve an algebraic equation to find, t, the total cost of tickets.
t/15 = 30
t = $450
A restaurant can seat at one time no more than 171 people.
p ≤ 171 or 171 ≥ p