Simplifying Radicals
Simplify the "square root of 49"
7
Classify "the square root of 64" as rational or irrational.
What is rational.
Solve x+8 = 15
What is x = 7
Solve for x: y = x + 4
What is x = y - 4?
A streaming service charges $15 plus $4 per movie. Write an equation for total cost c and number of movies m.
What is c = 15 + 4m?
Simplify "the square root of 48"
4 root 3
Classify "the square root of 20 + 5" as rational or irrationa.
What is irrational.
Solve 3x - 4 = 11
What is x = 5?
Solve for b: A = ½bh
What is b = 2A/h?
A gym charges a $25 membership fee and $8 per class. Kendra paid $89. How many classes did she attend?
Answer: What is 8 classes?
Simplify "root 12"
"2 root 3"
True or False: The sum of two rational numbers is always rational.
What is True
Solve 1.2m - 5 = 0.4m +7
What is m = 15?
Solve for h: A = ½bh
What is h = 2A/b?
A rectangular garden's length is 8 feet more than its width. Write an expression for the length if the width is w.
What is w + 8?
Find the value of "the square root of 18 + 2 Root 2"
5 root 2
Classify "5root 6 + 3" as rational or irrational and give explanation.
What is irrational because it cannot be expressed as a fraction?
Solve 5(x - 2) + 3 = 4x + 7
What is x = 14?
Solve for C: F = (9/5)C + 32
What is C = 5/9(F - 32)?
The perimeter of a rectangle is 76 feet. Width = w, Length = w + 8. Write an equation to represent the perimeter.
What is 2w + 2(w + 8) = 76?
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Explain two ways you can tell two numbers being added is rational.
1. If two rational numbers are being added.
2. If it can be expressed as a fraction
Write a 3 step equation and solve it.
Answers may vary.
Solve for r: A = πr²
What is r = √(A/π)?
The perimeter of a rectangle is 76 feet. Width = w, Length = w + 8. Write an equation and Find the dimensions of the garden.
What is width = 15 ft and length = 23 ft?