Unit 8 Practice Test (Factoring and Solving)

Select all equations that have 2 real solutions.

• x² = 49

• 5x-7= 29

• (x+6)(x-6)

• x² + 25 = 0

Which statement is true about the solutions pictured in the graph?

• The equation has no real solutions.

• The equation has 1 real solution.

• The equation has 2 real solutions.

• You cannot see solutions by looking at a graph.

Draw an example of a quadratic function that has no solutions.

Select all expressions that could be equivalent to x² + bx - 15 where b is negative.

• (x - 3) (x + 5)

• (x - 15)( x + 1)

• (x + 3) (x - 5)

• ( x + 15) ( x - 1)

Rewrite the expression in FACTORED FORM. If it cannot be written in factored form, write " cannot be done."

x² - 400

Rewrite the expression in FACTORED FORM. If it cannot be written in factored form, write " cannot be done."

a² + 5a - 36

Rewrite the expression in FACTORED FORM. If it cannot be written in factored form, write " cannot be done."

t² - 4t + 3

Rewrite the expression in FACTORED FORM. If it cannot be written in factored form, write " cannot be done."

25x² - 4/49

Change the quadratic equation from standard form to factored form. If it cannot be re-written in factored form, write " it cannot be done."

x² - 3x + 9

Rewrite the expression in FACTORED FORM. If it cannot be written in factored form, write " cannot be done."

x² + 81