Solving Quadratics (Math 1)

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

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve by taking square roots:
4m² - 100 = 0

• m=25, -25
• m=96
• m=5, -5
• m=-96

Tags

CCSS.HSA.REI.B.4

Solve
(4a + 3)(4a - 3) = 0

• a = ^-3/₄, ³/₄ 
• a = ^-4/₃, ⁴/₃ 
• a = ^-9/₁₆, ⁹/₁₆ 
• a = ^-16/₉, ¹⁶/₉ 

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Solve      3x² - 192 = 0

• -32 or 32
• No Solution
• -8 or 8
• -64 or 64

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve in any method

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

x² + 44 = -15x

• {-8, 2}

• {-7, 5}

• {-11, -4}

• {-11}

Tags

CCSS.HSA.REI.B.4

Solve
a² + 2a - 24 = 0

• a = -6, 4
• a = 6, -4
• a = 12, -2
• a = 8, -3

Tags

CCSS.HSA.REI.B.4

What are the zeros?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

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