Variables on 1 Side
-3x=-9
x=3
2x+3=x
x=-3
On Monday, Mr. A drinks c cups of coffee. On Tuesday, he drinks two more than he drank on Monday. In total, he drank 10 cups of coffee. Write an equation to find how many cups of coffee he drank on Monday.
c+(c+2)=10
2x=2x
Infinite Solutions
x+a=b
x=b-a
x-5=17
x=22
5x-8=2x+7
x=5
In triangle ABC, each angle is congruent since it is equilateral. If angle A is x degrees, how many degrees is each angle? (Remember, the angles in a triangle always add up to 180 degrees)
x + x + x = 180 or 3x = 180
3x+3=3x-3
No Solutions
mx=b
x=b/m
2x-7=9
x=8
4x+10=6x+2
x=4
Heta is running from a bear. She starts 100 feet ahead of the bear. She is running 20 feet per second. The bear is running 30 feet per second. How many seconds (s) will it take for the bear to catch up to Heta?
20s + 100 = 30s
2x-3=3-2x
One Solution
y=mx+b
(y-b)/m=x
5(x-2)+1=21
x=6
-2(3x+4)=-5x+9
x=-17
Weston has taken 5 tests so far in a class (100 points each). So far, he has scored 88%, 75%, 80%, 73%, and 95%. He wants to average at least an 85%. What does he need to score on his 6th test (s) to average 85?
(88+75+80+73+95+s)/6=85
-2(x+4)+x=-x-8
Infinite Solutions
x/(abc)=d
x=abcd
7=x/4+3
x=16
x/3-2/5=1/2(4x+6)
x=-2.04
Uncle Hank has some coins. He has p pennies. He has 3 times as many nickels as pennies. He has the same number of dimes as nickels. He has 8 times as many quarters as pennies. In total, the value of all the combined coins is $2.46. How many pennies does he has?
.01p+.05(3p)+.10(3p)+.25(8p)=2.46
1/2(10x-5)=-5x-2.5
One Solution
ax+by=c
x=(c-by)/a