Square Roots & Cube Roots
Solve: x² = 225
x = 15 (or −15)
A right triangle has legs of 8 and 15. What is the hypotenuse?
17
What is the slope of a line through (2, 5) and (6, 13)?
2
Write 4,500,000 in scientific notation.
4.5 × 10⁶
What transformation slides a figure to a new location without turning it?
Translation
Between which two consecutive integers does ∛50 fall?
3 and 4
Is a triangle with sides 7, 24, and 25 a right triangle?
Yes — 7² + 24² = 25²
Write the equation of a line with slope −3 passing through (0, 4).
y = −3x + 4
Write 0.00037 in scientific notation.
3.7 × 10⁻⁴
A point at (3, 4) is reflected over the x-axis and then over the y-axis. What are its new coordinates?
(-3, −4)
Simplify: √(144/25)
12/5 (or 2.4)
A right triangle has a hypotenuse of 26 and one leg of 10. What is the other leg?
24
What is the slope of a line parallel to y = −4x + 7?
−4
Multiply: (3 × 10⁴) × (2 × 10³)
6 × 10⁷
Point (2,5) is rotated 270° clockwise around the origin. What are its new coordinates?
(-5, 2)
DAILY DOUBLE!!!
Solve: 2x² − 8 = 242
Two points are at (0, 0) and (6, 8). What is the distance between them?
10
DAILY DOUBLE!!!
A line passes through (1, 3) and (4, 12). Write its equation in slope-intercept form.
STUCK?
If you start with the x, how do you get the y?
What do you do?
Divide: (8 × 10⁶) ÷ (4 × 10²)
2 × 10⁴
A figure is dilated by a scale factor of 3. A side that was 4 cm is now how long?
12 cm
A square has a diagonal of √72. What is its side length?
6
A square has a side length of 5. What is the length of its diagonal?
5√2 ≈ 7.07
Two lines: y = 2x + 1 and y = -3/4x + 1.
What are the coordinates of their intersection?
(0, 1)
The sun is 1.5 × 10⁸ km away. Light travels at 3 × 10⁵ km/sec. How many seconds does light take to reach Earth?
500 seconds
A point at (−2, 5) is reflected over the y-axis, then translated 3 units down. What are its final coordinates?
(2, 2)