EQUATIONS AND THEIR SOLUTIONS
Is x=7 a solution to equation below?
6x+5=x^2-2
Yes
DOUBLE YOUR POINTS!
Solve the equation:
4x-4=4x
No Solution
When solving the equation below, the first step is to multiply both sides by 4. Which property listed below justifies this step?
(x-5)/4=8
1. Addition Property of Equality
2. Commutative Property of Addition
3. Multiplication Property of Equality
4. Associative Property of Equality
Multiplication Property of Equality
Solve for x in terms of b and c.
x/b-2=c
x=b(c+2)
DOUBLE YOUR TOTAL POINTS!
A mathematical phrase that can contain numbers, variables that are separated by a plus or minus sign.
Term
Is y=2 a solution to the equation?
6y-4=5y-2
Yes
Solve the equation:
5x+34=-2(1-7x)
x=4
Solve and justify your steps:
-2x-6=7
Additive Property of Equality
x=1/2
Solve for C in terms of D, S and n.
D=(C-S)/n
C=nD+s
A value that makes an equation true when substituted for the variable.
Solution
Determine if each of the following is a solution to:
2x-5=-13
x=4
x=-4
x=-9
x=-4
Solve the equation:
(3x+5)/2=7
x=3
Solve and justify your steps:
3(x+2)=18
Distributive Property
Subtraction Property of Equality
x=-8
Solve the formula for h in terms of V, r and pi.
V=1/3Pir^2h
h=(3V)/(Pir^2
A mathematical statement that shows two expressions are equal.
Equation
Which of the following equations does not have a solution of x=-2?
1. -3/2x+6=8
2. -3x+8=14
3. 4(x-2)=-2x-20
4. (x-4)/3=-2
1
SOLVE CORRECTLY AND ALL OTHER TEAMS LOSE ALL THEIR POINTS!
Solve the equation:
(5x-3)/2=2x+4
x=-5
Solve and justify your steps:
7x+2=4x-7
Subtraction Property of Equality
Subtraction Property of Equality
Division Property of Equality
x=-3
Solve for b in terms of A and h.
A=1/2bh
b=(2A)/h
An equation or expression where the variable is raised to a power other than one.
Nonlinear Equation
Which of the following equations does not have a solution of x=14?
1. (x+4)/3=6
2. -1/2x+1 =-6
3. x+6=2(x-5)
4. 4-2x=-24
2
Solve the equation-you have to show all your steps to get your answer.
(x+3)/10+(x-2)/5=2
x=7
Solve and justify your steps:
2(x-8)-3=-4x+17
Distributive Property
Commutative Property
Addition Property of Equality
Addition Property of Equality
Division Property of Equality
x=6
TRIPLE YOUR POINTS!
Solve the formula for b in terms of A, a and h.
A=(a+b)/2h
b=(2A)/h-a
An expression that contains variables, numbers, and operations.
Algebraic Expression