Unit 8 Review

Rational, Irrational, & Approximating Numbers

100

Which of the following is irrational?
a)2/7

b)7.256333333...

c)sqrt72

d)sqrt64

c)sqrt72

200

Write the following decimal as a fraction:
0.45454545454545.....

45/99 or 5/11

300

Which of the following is the best approximation for sqrt46? 

a)6

b) 6.5

c) 7
d) 7.5

c) 7

400

sqrt78 is between which two integers? 

8 & 9

Squares and Square Roots

100

What is the area of a square with side length of 6 units? 

36 units²

200

What is the side length of a square with area 81 square units? 

9 units

300

What is the EXACT side length of a square with area of 50 square units? 

sqrt50 units

400

What is the solution to the following equation? 

x²=25

x=5,-5

Cubes and Cube Roots

100

What is the volume of a cube with side length 4 units? 

64 cubic units

200

What is the side length of a cube with a volume of 343 cubic units?

7 units

300

What is the EXACT side length of a cube with a volume of 124 cubit units? 

cube root 124 units

400

What is the solution to the following equation? 

x³=216

x=6

Pythagorean Theorem

100

What is the Pythagorean Theorem? 

a²+b²=c²

200

If a right triangle has side lengths of 9, 15, and 12, which side would be the hypotenuse?

15

300

If a right triangle has a hypotenuse of 7 units and a leg of 3 units, what is the exact length of the other leg? 

sqrt40 units

400

If a right triangle has a leg with length 4 units and a leg with length sqrt20 units, what is the exact length of the hypotenuse? 

6 units

Inequalities/Absolute Values/Simplifying Radicals

100

Solve the absolute value equation. 

2|x|=16

x=8, -8

200

Solve the absolute value equation.

|x|+4=2

DNE

300

Solve the inequality. 

-2x+7<21

x>-7

400

Simplify sqrt80 completely. 

4sqrt5