4.2 Solving Quadratic Equations without factoring (Due 1/18/24)
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Last updated 12 months ago
37 questions
Essential Question: What are other methods of solving quadratic functions besides factoring?
Learning Target: Students will be able to solve quadratic equations that model real-world situations.
Show your work for credit.
Day 1 1/16/24
Solving Equations by Taking Square Roots
Required
2 points
2
Question 1
1.
Simplify
Required
5 points
5
Question 2
2.
Review: Allsquare roots of real, positive numbers have two solutions.
10 points
10
Question 3
3.
Does this square root have a real answer? (Hint is there a number times itself that equals -81)
Required
10 points
10
Question 4
4.
Explain why all square roots have two answers.
Required
8 points
8
Question 5
5.
Review: Match each number on the left with its simplified form on the right.
4
-4
5
-5
6
-6
8
-8
Required
5 points
5
Question 6
6.
Vocabulary: In your own words, what does it mean to isolate a variable?
Required
5 points
5
Question 7
7.
Vocabulary: In your own words, what is an inverse operation?
Required
10 points
10
Question 8
8.
Match the operation with its inverse.
Draggable item
arrow_right_alt
Corresponding Item
inverse of subtraction
arrow_right_alt
subtraction
inverse of to the second power
arrow_right_alt
addition
inverse of multiplication
arrow_right_alt
division
inverse of division
arrow_right_alt
multiplication
inverse of addition
arrow_right_alt
square root
Required
10 points
10
Question 9
9.
Required
2 points
2
Question 10
10.
What is the first step to solving this equation?
2x - 14 = 50
Required
2 points
2
Question 11
11.
What is the second step to solving this equation?
2x - 14 = 50
Required
10 points
10
Question 12
12.
Solve this equation.
Required
10 points
10
Question 13
13.
Solve this equation.
Required
10 points
10
Question 14
14.
Solve this equation.
Required
10 points
10
Question 15
15.
Solve this equation.
Required
10 points
10
Question 16
16.
Solve this equation.
Required
10 points
10
Question 17
17.
Solve this equation.
Required
10 points
10
Question 18
18.
Solve this equation.
Required
10 points
10
Question 19
19.
Below is an example how to solve an quadratic equation by taking a square root. Fill the blanks to complete the problem.
Required
10 points
10
Question 20
20.
Solve this quadratic equation by taking the square root.
Required
10 points
10
Question 21
21.
Solve this quadratic equation by taking the square root.
Day 2 1/17/24
Irrational Solutions
10 points
10
Question 22
22.
Solve this quadratic equation by taking the square root.
Required
10 points
10
Question 23
23.
Solve this quadratic equation by taking the square root.
Required
10 points
10
Question 24
24.
Solve this quadratic equation by taking the square root.
Required
10 points
10
Question 25
25.
Solve this quadratic equation by taking the square root.
Required
10 points
10
Question 26
26.
Solve this quadratic equation by taking the square root.
Required
10 points
10
Question 27
27.
Solve this quadratic equation by taking the square root.
Required
10 points
10
Question 28
28.
Solve this quadratic equation by taking the square root.
10 points
10
Question 29
29.
Solve this quadratic equation by taking the square root.
Required
10 points
10
Question 30
30.
Below is an example how to solve an quadratic equation by taking a square root. Fill the blanks to complete the problem. Use desmos to solve the radical at the end of the problem.
10 points
10
Question 31
31.
Solve this quadratic equation by taking the square root.
10 points
10
Question 32
32.
Solve this quadratic equation by taking the square root.
10 points
10
Question 33
33.
Solve this quadratic equation by taking the square root.
10 points
10
Question 34
34.
Solve this quadratic equation by taking the square root.
