Order of Operations
Simplify
10-5*2
0
Loudres has 5 more dollars than Kristina. Together they have 67 dollars. How much money does each of them have?
Loudres has 36 dollars and Kristina has 31.
Write the following as a mathematical expression
a) The product of m and7
b) 8 less than x
c) x less than 3
d) The quotient of m and 33
a) 7m
b) x - 8
c) 3 - x
d)
m/33
Check the given solution. Do NOT solve the equation.
4x+6=17
x=3
x=3 is not the solution
Solve for x
3x-5=28
x=11
Simplify
-3+2^3-8
-3
David is 7 years older than Rick. The sum of Rick's age and David's age is 93. How old is Rick?
Rick is 43 years old
Distribute
3(m+7)
3m + 21
Check the given solution. Do NOT solve the equation.
m/4+3=10
m=28
m=28 is the solution
Solve for y
y/4-3=19
y=88
Simplify
(-6+(2*-7))/5
-4
The sum of three consecutive numbers is 174. What are the three numbers?
The three numbers are 57,58, and 59.
Simplify
2(p+3) +4p
6p +6
Check the given solution. Do NOT solve the equation.
4(x+2)=6x-2
x=5
x=5 is the solution
Solve for w
3(w-2)+10=43
w=13
Simplify
-5+3*2-6+10
5
April is 7 years older than Natalie. Jose is twice the age of Natalie. The sum of their ages is 87. How old is April?
April is 27 years old.
Simplify
6(x+2)+3(x-4)
9x
Solve for y
3x-4y=10
y=(10-3x)/-4
Solve for m
3(m-1)+4(m+6)=42
m=3
Simplify
(2)(-2)(-3)(-1)(3)(2)
-72
The length of a rectangle is 5 meters shorter than its width. The perimeter of the rectangle is 50 meters. What are the dimensions of the rectangle?
The width is 15 meters and the length is 10 meters.
Simplify
5(v+2)-2(v-6)
3v+22
Solve for m
m/-2+3n=4
m=-2(4-3n) or
m=-8+6n
Solve for n
5n-7=-4n+56
n=7