Review - Solving Quadratics

Solve
a² + 2a - 24 = 0

• a = -6, 4

• a = 6, -4

• a = 12, -2

• a = 8, -3

Tags

CCSS.HSA.REI.B.4

Solve by factoring:  4x² + 11x - 3 = 0

• x = -3/4 and x = -1

• x = 4 and x = 3

• x = 1/4 and x = -3

• x = -1/4 and x = 3

Tags

CCSS.HSA-REI.B.4B

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve
6x² + 17x + 12 = 0

• x = -4/3, x = -3/2

• x = 9, x = 8

• x = 4, x = 3

• x = -4, x = -3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve
x² + 2x - 24 = 0

• x = -6, x = 4

• x = 6, x = -4

• x = 12, x = -2

• x = 8, x = -3

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Identify a, b, and c:  -2x + x² - 12 = 0

• a = -2, b = 1, c = -12

• a = 2, b = 1, c = 12

• a = 1, b = -2, c = -12

• a = 1, b = 2, c = 12

Use the quadratic formula to find the solutions for
y = -x² - 5x + 12

• -4.9 and -0.1

• -8.54 and 8.54

• -0.45 and 3.55

• -6.77 and 1.77

Tags

CCSS.HSA.REI.B.4