1. Which statement is true about the solutions to
x^2 - 1 = 24
Hint:
Isolate the squared term.
Take the square root of both sides.
Is this number rational? (Can you simplify?) Or is it irrational? (Does a square root remain?)
A
There is only one irrational solution.
B
There are two distinct rational solutions.
C
There are two distinct irrational solutions.
2. Marcus wants to solve the quadratic equation 2x^2 - 7x+3=0 Which expression could be one of the factors that he writes in order to solve the equation?
a. 2x-1
b. x-6
c. 2x+1
3. True or False
The solutions to 5x^2 = -2x are x = - 2/5 and x = 0
Hint:
Get all the terms to one side so the equation equals zero.
Factor out the GCF.
Set each term equal to zero.
Solve.
Compare solutions to those given in the problem.
a. true
b. false
4. True or False
The solutions to ( x + 3 )^2 - 4 = 0 are x = - 1 and x = - 5
Hint:
Isolate the squared quantity.
Take the square root of both sides.
Don't forget the plus or minus.
Solve for x.
Determine the two solutions. Compare with those given in the question.
a. true
b. false