Solving Equations
x - 18 = 47
65
Luke is w years old. His brother is 3 years older than he is now. If his brother is x years old now, express w in terms of w.
x=w+3
Aubrey thinks of a number. When she adds 32 to it, the sum is 97. Write an algebraic equation that matches this problem and what is the solution?
n+32=97
65
Write an inequality for the situation.
A KPA athlete's gym bag weighs at least 20 pounds.
w>=20
Trevyn's house is more than 6.7 miles from school. Let x represent the number of miles between Trevyn's house and the school. Write an inequality to represent the situation.
Is 6 a possible solution?
x>6.7
No
108 = 9m
12
A small bag of M&Ms weighs k grams. A "share size" bag contains 3 times as much. If the "share size" weighs m grams, express m in terms of k.
m=3k
2n=78
n=39
The inequality x>5 represents the number of Chick-fil-A restaurants in Lubbock.
Is 5 a possible solution?
Is 5 1/2 a possible solution?
No
No
The KPA van can hold a maximum of 30 students. Let y represent the number of students. Write an inequality to represent the situation. Is 30 a possible value of y?
y<=30
Yes.
m/13=7
91
The side length of a square is t inches. The perimeter of the square is z inches. Express z in terms of t.
z=4t
Hunter spent 2/5 of his allowance on a jacket. The jacket cost him $14. How much was his allowance?
2/5 a = 14
35
Is 25.9 a possible solution?
Is 25.8 a possible solution?
Yes
To receive a discount at a book store, you must spend at least $100 at the store. Write an inequality to represent the amount of money you spend to get a coupon.
y>=100
5/12 = 5d
1/12
Every month, Coach Brock spends 60 percent of what he earns and saves the rest. Coach Brock earns n dollars and saves r dollars each month. Express r in terms of n.
r=40%n
Write an equation that represents the relationship between x and y.
(x) 3 4 5 6 7 8
(y) 18 24 30 36 42 48
y=6x
Pens are packaged equally into 9 packages. Each package has at least 7 pens. Write an inequality that represents the number of pens in the entire box.
t>=63
There are 50 adults and children in the gym. If there are at least 18 adults, write an inequality to represent the number of children in the gym.
c<=32
P=6b
Write an equation that represents the relationship between x and y.
(x) 20 25 30 35
(y) 12 15 18 21
y=3/5 x
A box contains 150 blue and red rubber bands. There are at least 80 blue rubber bands. Write an inequality for the number of red rubber bands.
x<=70
A country can send an Olympic team to compete in a gymnastics competition with at least 6 members but not more than 9 members. 30 countries participated in the Olympic competition.
What is the least possible number of participants in the competition?
What is the greatest possible number of participants in the competition?
180
270