Algebra Basics
Solve: 3x + 7 = 22
x = 5
f(x) = 2x + 3 Find f(4)
11
Simplify: √49
7
Find the area of a rectangle: length = 8 width = 3
24 square units
Solve: |x| = 9. Give BOTH possibilities.
x = 9 or −9
Simplify: 2(x − 4) + 3x
5x - 8
What is the slope of: y = −3x + 5
-3
x² · x⁵
x7
What is the circumference formula of a circle?
C = 2πr
What is 15% of 80?
12
5x − 9 = 2x + 12
x = 7
Find the y-intercept: 2y = 6x − 8
(0, −4)
Rewrite in radical form: x^(1/2)
√x
Find the area of a triangle: base = 10 height = 6
30 square units
x/4 + 3 = 8
20
x² − 9x + 20
(x − 5)(x − 4)
If f(x) = x² − 1, find f(−3)
8
Simplify: (x³)²
x6
A right triangle has legs 3 and 4. Find the hypotenuse.
5
The average of 4 numbers is 12. What is their total sum?
48
2x² − 8 = 0
x = ±2
A line passes through: (2, 5) and (6, 13)
2
Rewrite in exponent form: ⁴√(x³)
x(3/4)
Find the distance between: (1, 2) and (4, 6)
5
A car travels 180 miles in 3 hours. What is the average speed?
60 mph