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Solving Quadratic Equations Given as a Binomial
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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19 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • Ungraded
Find the sum of the solutions.
5x2 + 6x - 1 = 0 (use 2 decimal places)
Use quadratic formula.
Add the values of x.
Tags
CCSS.HSA-REI.B.4B
2.
REORDER QUESTION
1 min • 6 pts
What are the steps to solving this by completing the square? x2 + 10x + 21 = 0
Add 25 to both sides of the equation
Subtract 21 from both sides of the equation
Rewrite the left hand side as a (binomial)2
Take the square root of both sides of the equation
Subtract 5 from both sides of the equation
Answer explanation
Steps for completing the square when a=1
1st: Rewrite as x2 + bx = c
2nd: Take half of b, square it, then add this to both sides.
3rd: Factor the perfect square trinomial.
4th: Take the square root of both sides and solve for both cases.
5th: Write the answer using curly braces in set notation
Tags
CCSS.HSA-REI.B.4B
3.
REORDER QUESTION
1 min • 6 pts
Order the following steps for solving quadratic equations by factoring.
Write the answer using curly braces in set notation.
Set each factor equal to zero, and solve each for the variable.
Factor the left side.
Set the quadratic equation equal to zero.
Tags
CCSS.HSA-REI.B.4B
4.
MULTIPLE SELECT QUESTION
1 min • 1 pt
Select the solutions to the equation
4x2 + 11x + 7 = 0
x = - 1.75
x = 6
x = - 1
x = 1
5.
MULTIPLE SELECT QUESTION
1 min • 1 pt
The quadratic function y = -2x2 + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x2 + 4x + 6?
x = 0.5
x = 1.5
x = 1
x = 8
x = 6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How many solutions does this function have?
two
one
all real numbers
no real solutions
7.
MULTIPLE SELECT QUESTION
1 min • 1 pt
What are the solutions to the quadratic equation?
x = -4
x = 1
x = -1
x = 2
x = 4
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