Simplifying Expressions
A mathematical sentence without an equal sign that cannot be solved without additional information
What is an expression?
The solution to:
17 - 1/9x = 10
What is x = 63 ?
An expression simplified for perimeter of a rectangle with a width of x and length of 2x
Expression: 2x + 2x + x + x or 2(2x) + 2x
What is 6x?
An expression for: 15 less than a 3 times a number
What is 3x - 15?
This solution indicates an infinite amount of possibilities will make the equation true.
What is all real numbers?
Adding or subtracting terms in an expression (or on the same side of the equal sign in an equation) that have the same base and power
What is combining like terms?
The solution to:
4x + 14 + 4x =38
What is x = 3?
An expression for the area of a rectangle with a length of 8 and a width of 3/4x + 5
8(3/4x +5)
What is 6x + 40?
An equation for: a number increased by 11 is equal to twice the number decreased by 12
What is x + 11 = 2x - 12 ?
What is one solution
Simplify: 3/2(4f-10)
What is 6f - 15 ?
The solution to: -2(3x-10)=16
What is x= 2/3 or x = 0.6 repeating ?
The perimeter of a rectangle is 36 and the side lengths are 12 and 4x-6. The value of x?
36 = 2(12)+2(4x-6) or 36= 12+12+4x-6+4x6 Simplified: 36= 8x+12
What is x= 3?
Marshall earns $36,000 and each year he receives a $4000 raise. Jim earns $51,000 each year and receives a $1500 raise.
An equation for how many years will it take for Marshal and Jim to earn the same salary.
What is:
36,000 + 4000x = 51,000 + 1500x
After solving, the variable cancelled out and you are left with an untrue statement (such as 4 = -6)
What is no solution?
Simplify:
-3x + 14 -11 + 11x
What is 8x + 3?
The solution to:
-4x + 6(4x -3) = -8
What is x = 1/2 ?
The area of a rectangle is 56cm squared. The width is 2 cm and the length is 4+x. The value of x.
56 = 2(4+x)
What is x=24?
SOLVE an equation for: 46 less than -8 times a number is the same as 8 less than -6 times a number
-8x - 46 = -6x - 8
What is x = -19
The solution to: 9x - 17 = -17 +9x
What is all real numbers?
Simplify:
-4/3(15x + 30) + 5
What is -20x - 35 ?
The solution to: 22 + 4x + 50x = 10(6x - 2)
What is x = 7 ?
A square and an equilateral triangle have the same perimeter. The side length of the square is 2x+5. The side length of the triangle is 2x+8. The value of x
4(2x+5)=3(2x+8)
What is x = 2
Solve: Jay has a VIP membership to the theater that costs $27 a year and $6 for each movie. Claire doesn't have a membership so she pays $8.25 for each movies she sees. Movies would Jay and Claire have to see in a year to pay the same amount.
27 + 6x = 8.25x
What is x = 12 movies?
The solution to:
15(2x + 2) = 10(3x + 4)
What is no solution?