Algebra I - Topic 9 Review

Solve
4m² - 100 = 0

• m=25, -25

• m=96

• m=5, -5

• m=-96

Solve
a² + 2a - 24 = 0

• a = -6, 4

• a = 6, -4

• a = 12, -2

• a = 8, -3

Convert x²-6x+9 to factored form and identify the solution.

• (x-3)(x-3); x=3

• (x+3)(x+3); x=-3

• (x+4)(x+2); x=-4, -2

• Not factorable

Convert x²-9x+20 to factored form and solve.

• (x-10)(x+2); x=-2, 10

• (x+4)(x+5); x=-5, -4

• (x-4)(x-5); x=4, 5

• Not factorable

What are the zeros?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

What are the solutions of this graph?

• -2 and 3

• -1/2 and -6

• -2 and -6

• 3 and -6

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Solve the following quadratics equation by completing the square...

x² - 6x + 2 = 0

• x = -3 ± √7

• x = 3 ± √7

• x = 7 ± √3

• x = -7 ± √3

Solve using the Zero-Product Property.

7x(x − 6) = 0

• x =7 and x = −6

• x = 0 and x = 6

• x = 0 and x = −6

• x = 7 and x = 6