Solving Square Roots

Flashcard
•
Mathematics
•
9th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a square root?
Back
A square root of a number x is a value y such that y² = x. For example, the square root of 9 is 3, since 3² = 9.
Tags
CCSS.8.EE.A.2
2.
FLASHCARD QUESTION
Front
How do you solve an equation using square roots?
Back
To solve an equation using square roots, isolate the variable term on one side of the equation and then take the square root of both sides. Remember to consider both the positive and negative roots.
Tags
CCSS.8.EE.A.2
3.
FLASHCARD QUESTION
Front
What does it mean if a quadratic equation has no real solutions?
Back
It means that the graph of the equation does not intersect the x-axis, indicating that the solutions are imaginary.
Tags
CCSS.HSA-REI.B.4B
CCSS.HSN.CN.C.7
4.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of the quadratic equation ax² + bx + c = 0.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What is the discriminant in a quadratic equation?
Back
The discriminant is the part of the quadratic formula under the square root, b² - 4ac. It determines the nature of the roots: if positive, there are two real solutions; if zero, one real solution; if negative, two imaginary solutions.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
Solve for b: 5b² - 4 = 41
Back
b = 3, b = -3.
Tags
CCSS.8.EE.A.2
7.
FLASHCARD QUESTION
Front
What is the solution to the equation 7x² + 1 = 8?
Back
x = ±1.
Tags
CCSS.8.EE.A.2
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