Algebra Basics
Solve: 3x + 7 = 19
x=4
How many degrees are in a triangle?
180°
Identify the vertex form: y = a(x − h)² + k. What does (h, k) represent?
vertex
If f(x) = x + 4, find f(3).
7
What is the probability of flipping heads on a fair coin?
1/2
Simplify: 4(x − 3) + 2x
6x-12
What is the area of a rectangle with length 8 and width 5?
40
Factor: x² − 9
(x-3)(x+3)
If f(x) = 2x², find f(−2).
8
A die has 6 sides. What is the probability of rolling a 3?
1/6
Solve: 5x − 8 = 2x + 10
x=6
A right triangle has legs 6 and 8. Find the hypotenuse.
10
Solve: x² − 5x + 6 = 0
x = 2, 3
What does it mean for a function to be linear?
constant rate of change
What is the probability of drawing a red card from a standard deck?
1/2
Factor: x² + 7x + 10
(x+5)(x+2)
What is the sum of interior angles of a pentagon?
540°
What is the axis of symmetry of y = x² − 6x + 5?
x=3
If f(x) = x² and g(x) = x + 1, find f(g(2)).
9
If you flip two coins, what is the probability of getting two heads?
1/4
Solve the system:
y = 2x + 1
y = x + 5
(2,5)
Find the area of a circle with radius 4.
16π
Use the quadratic formula to solve: x² + 2x − 8
x=2, -4
What type of function grows fastest: linear, quadratic, or exponential?
exponential
A bag has 3 red, 4 blue, and 5 green marbles. What is the probability of drawing a blue marble?
4/12 or 1/3