Square Roots
Real Numbers
Pythagorean Theorem
Graphing and Solving Inequalities
Anything Goes and Triangle Inequality
100
Both solutions for a2 = 144
What is +12 and -12?
100
What kind of number is 8/15?
What is rational?
100
Using the Pythagorean Theorem, find the missing length. Round 2 places if necessary. a = 7, b = 24
What is c = 25?
100
Solve and graph. x + 12 is less than or equal to 8
What is x is less than or equal to -4? Graph has closed circle at -4 and goes left.
100
Give an example of an irrational number and explain why it is irrational.
Varies but pi, square root 2, square root 3 are good examples. What is it cannot be written as the quotient of two integers?
200
Solutions for 6 + h2 = 21 Round 2 places if necessary.
What is + or - 3.87?
200
What kind of a number is square root 64?
What rational?
200
Using the Pythagorean Theorem, find the missing length. Round 2 places if necessary. a = 9, c = 15
What is b = 12?
200
Solve and graph. -3x is less than or equal to 18
What is x is greater than or equal to -6 ? Graph has a closed circle at -6 and goes right.
200
Can the numbers 15, 22, and 34 be side lengths of a triangle? Explain.
What is yes because any two sides would be greater than the third?
300
Solutions for 3m2 = 606. Round 2 places if necessary.
What is + or - 14.21?
300
What kind of number is square root 12?
What is irrational?
300
Using the Pythagorean Theorem, find the missing length. Round 2 places if necessary. b = 31, c = 39
What is 23.66?
300
Solve and graph. 3(x - 2) > 4x + 7
What is x < -13 ? Graph has an open circle at -13 and goes to the left.
300
Can the numbers 19, 7, and 27 be sides lengths of a triangle? Explain.
What is no, because 19 +7 is 26 which is not greater than 27 ?
400
The area of a square playground is 56 ft2. Find the approximate length of the sides.
What is 7.48ft?
400
Compare using <, >, or =. Square root 2 and 7/5
What is >? 1.41 > 1.4
400
To secure a radio tower, a 250 ft rope was attached to its top and staked in the ground 100 ft from the base of the tower. how tall is the tower?
What is about 229 ft tall ?
400
Solve. 2(10x - 1) < 4x + 6(x + 8)
What is x < 5 ?
400
What range could the 3rd side of a triangle be if one side is 4 and the other is 12.
What is 8 < x < 16?
500
Solve: The difference of r2 and 10 is 39.
What is + or - 7?
500
Compare using <, >, or =. Square root of quotient 9/25 and 14/25
What is >? .6 > .56
500
Find the perimeter and the area for an isosceles triangle with a base of 12 cm and a height of 15 cm. Note: the base is evenly divided so there are two right triangles within the isosceles triangle.
What is perimeter about 44 cm and area about 90 cm2 ?
500
The sum of three consecutive integers is greater than 36. Write the inequality and solve.
What is n + n + 1 + n + 2 > 36 and n >11?
500
What range of perimeters could there be on a triangle if one side is 3 and another side if 7? Hint: Find range of 3rd side first, then perimeter.
What is 14 < p < 20? 3rd side 4 < x < 10
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