Simplify
3∙(4+8)÷6
Solution:
6
-6n=-102
Solution:
n=17
-1+5v-6=-12
Solution:
v=-1
1+2a=13-4a
Solution:
a=2
Identify the unknown variable and the algebraic model.
Last week Rob ran 21 miles less than Chris. Rob ran 15 miles. How many miles did Chris run?
x = Numbes of Miles Chris Ran
x-21=15
-2(9+6n)+5
Solution:
-12n-13
-22=t-3
Solution:
t=-19
10=-6-x-3x
Solution:
x=-4
4x+6x=2x+8x
Solution:
Infinite Solutions
Identify the unknown variable and the algebraic model.
How many boxes of cereal can you buy with $24 if one box costs $3?
x = Number of cereal boxes
3x=24
2+5^2-(2+5)
Solution:
20
-8+r/5=-10
Solution:
r=-10
8(6n-2)=176
Solution:
n=4
-8(5-8v)=-6v-40
Solution:
v=0
Identify the unknown variable and the algebraic model.
167 students went on a field trip to the aquarium. Four buses were filled and 23 students traveled in cars. How many students were in each bus?
x = Number of students per bus
10p+5(-2p+2)
Solution:
10
9r-7=128
Solution:
r=15
3+8(n-6)=-109
Solution:
n=20
-4a-11=-2(2a+8)
Solution:
No Solution
Identify the unknown variable and the algebraic model.
Ryan sold half of his comic books and then bought seventeen more. He now has 38 comic books, how many did he start with?
x = Number of original comic books
x/2+17=38
5m+p^2-2
given m=6 and p=3
Solution:
37
(9+b)/3=4
Solution:
b=3
-8(k+6)-3k=-92
Solution:
k=-4
-4(1+6t)=7(t-5)
Solution:
t=1
Identify the unknown variable and the algebraic model.
The Cooking Club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating four pies to the club. If each pie was then cut into 8 slices and there is a total of 88 slices to sell. How many pies did the Cooking Club make?
x = Number of Pies made by the Cooking Club
8(x+4)=88