Solving Quadratics - Honors

Solve by taking square roots:
5m² + 1 = 6

• m = 0
• m = 1 or -1
• m = √7
• m = 7/5 m = -7/5

Tags

CCSS.HSA-REI.B.4B

Solve by taking the square root.

14 - x² = 17

• x = ±1.73

• x = 3

• no solution

• x = -3

• A
• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

Tags

CCSS.HSA-REI.B.4B

Solve using the quadratic formula:
4x² + 4x + 1 = 0

• x = -½
• x = -2
• x = 0

Tags

CCSS.HSA-REI.B.4B

Solve the following equation by completing the square:
n² = 18n + 40

• {11 and -11}
• {16 and 2}
• {20 and -2}
• {10 and -4}

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}
• {-6 + √13, -6 - √13}
• {6 + √59, 6 - √59}
• {-6 + √59, -6 - √59}

Tags

CCSS.HSA-REI.B.4B

What do you do to the b value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

Tags

CCSS.HSA-REI.B.4B

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7
• -7
• -4
• -3

Tags

CCSS.HSA-REI.B.4B