Special Cases
Solve this equation:
1/5(2x-15) = 1/10(4x-30)
infinite solutions
Write an equation for the given scenario.
Denver is planting a strawberry seedlings in a new garden. He can plant 3 rows of a certain length with 2 seedlings left over or 4 rows of the same length with 3 seedling spots left empty.
3x + 2 = 4x - 3
Solve the given equation:
0.3(4-x) = x - 1.4
x = 2
What is the first step to solving an equation?
Get rid of the parenthesis
How many solutions does this equations have?
3x - 4 = 2x - 2 + x
No Solution
Can the perimeters of a square and rectangle have the same value if their lengths are represented as 4x, 2(1/2x+9) respectively.
Yes since there is only one value of x that makes the solution true.
Solve the given equation:
4(x-3) = x/4 + 5/2
x = 3.867
How do I get x's to the same side of the equals sign?
inverse operations. positive on the left is negative on the right
Complete the equation so that it has infinitely many solutions?
4(x/8-2) = 1/4(2x- ?)
32
Which value can each term be multiplied by to eliminate the decimals in the equation?
0.5x + 1 = 0.75x
100
-3/4(x-3) - 5 = 1/8(x-1)
x = -3
What property eliminates parenthesis in an equation.
Distributive Property
What is the solution for the equation?
0.4(x+5) = 0.1(4x+2)
No Solution
What value of m makes the solution to the equation equal to 3?
-3x + m = 2x + 8
m = 23
Solve the equation:
-3x + 23 = 2x + 8
x=3
What step is there an error in solving this equation:
1/4(2-x) = 5+3x
1/2 - x = 5 + 3x
1/2 = 5 + 4x
-9/2 = 4x
-9/8 = x
Step 1
3(4-2x) = 6(-x+2)
Infinite Solution
What is an equation?
balance scale setting two expressions equal
When you solve an equation what are you solving for?
value that keeps it balanced
What are the inverses of each operation?
add - subtract
Multiply - divide
square - square root