Algebra & Expressions
Simplify: 3(x + 4) - 2x
x + 12
Find f(3) if f(x) = 2x + 1
7
Find the hypotenuse of a right triangle with legs 3 and 4
5
What is the probability of flipping heads on a fair coin?
1/2
Simplify: √72
6√2
Solve: 2x - 5 = 11
x = 8
If f(x) = x^2 find f(-4)
16
Find the area of a circle with radius 3
9pi
What is the probability of rolling a 3 on a fair die?
1/6
Simplify: (2^3 × 2^5) / 2^4
2^4 or 16
Factor: x^2 - 9
(x - 3)(x + 3)
Find the slope of the line through (2,3) and (6,11)
2
Find sinθ if opposite = 5 and hypotenuse = 13
5/13
Find P(A ∩ B) if P(A)=0.5 and P(B)=0.4 independent
0.2
Simplify: √18 + √8
5√2
Solve: x^2 - 4x - 5 = 0
x = 5 or x = -1
If f(x) = 2x + 1 and g(x) = x^2 find f(g(2))
9
Find the distance between (1,2) and (4,6)
5
Find P(A ∪ B) if P(A)=0.6 P(B)=0.5 and P(A ∩ B)=0.2
0.9
Rationalize the denominator: 5/(2√3)
(5√3)/6
Solve the system: y = x^2 and y = 2x + 3
x = -1 or x = 3
For f(x) = x^2 - 4x + 3 what is the vertex x-value?
2
A right triangle has hypotenuse 10 and adjacent side 6 find cosθ
3/5
A test has mean 70 and standard deviation 10 what is the z-score of 85? (How many Standard Deviation is 85 away from 70?)
1.5
Simplify: (3 + √5)(3 - √5)
4