Pythagorean Theorem
Square and Cube Roots
Solving Equations
One Solution, No Solution, or Many Solutions
Potpourri
100
Is the triangle below a right triangle?
Yes
100
Between which two whole numbers is the square root of 90.
Between 9 and 10
100
8x - 2 = -9 + 7x
x = -7
100
4m - 4 = 4m
No solution
100
Which of the following are rational numbers?
a. 0.8888888...
b. 5/2
c. √25
d. -3.33
All of the numbers are rational.
200
Find the length of the hypotenuse.
29 cm
200
Find the cube root of 64
4
200
-(-7 - 4x) = 9
x = 1/2
200
a + 5 = -5a + 5
One solution
200
Which of the following are rational numbers?
a. 0.16666666...
b. 𝝅
c. √12
d. -3.78284784923724782...
a. 0.16666666...
300
What is the distance between the points (0, 8) and (6, 0) on the coordinate plane?
10
300
Find the square root of 7744
88
300
-18 - 6k = 6(1 + 3k)
k = -1
300
8x - 2 = -9 + 7x
One solution
300
y = 8/7x + 1
Slope = 8/7
Y-intercept = 1
400
You need to reach a window on the side of a building that is 45 feet above the ground. For safety, you
are going to keep the base of the ladder 18 feet from the building. What length ladder would you need
to use to reach the window? (Round to the hundreths decimal place)
48.47 feet
400
Find the square root of 640. Write your answer as a simplified radical.
8√10
400
−3(4x + 3) + 4(6x + 1) = 43
x = 4
400
2x + 2x + 2 = 4x + 2
Infinitely Many Solutions
400
Rachel bought 2 pounds of apples for $3.46. Evan bought 3 pounds of apples for $5.19. What is price per pound for apples?
$1.73 per pound
500
Find the perimeter of the figure below.
254 ft
500
Find the square root of 768. Write your answer as a simplified radical.
16√3
500
−5(1 − 5x) + 5(−8x − 2) =−4x − 8x
x = -5
500
4(x - 1) = 1/2(8x - 2)
No Solution
500
What is the slope and y-intercept of the following line?
Slope = 5/6
Y-intercept = 2