Algebra II Concepts Quiz

Test your algebra skills with quadratic equations, systems, matrices, inequalities, and more. Prepare for success!

#1

Which of the following is a quadratic equation?

2x + 3 = 0
4x^2 - 9 = 0
3x + 7 = 1
5x - 2 = 0
#2

If f(x) = 3x^2 - 2x + 5, what is f(4)?

37
57
69
85
#3

If x + y = 10 and x - y = 4, what are the values of x and y?

(6, 4)
(5, 5)
(7, 3)
(8, 2)
#4

If f(x) = 2x^3 - 5x^2 + 3x + 7, what is f(-1)?

11
15
19
23
#5

Solve the system of equations:
2x + 3y = 8
4x - y = 5

(2, 1)
(3, 2)
(-1, 3)
(4, 0)
#6

Find the inverse of the matrix:
[[3, 1], [4, 2]]

[[2, -1], [1, 3]]
[[1, 2], [-3, 4]]
[[2, 1], [-4, -3]]
[[1, -2], [3, -4]]
#7

Solve the inequality: 2x - 7 < 3x + 2

x < -9
x > -9
x < 9
x > 9
#8

Factorize the expression: 6x^2 - 13x + 6

(2x - 3)(3x - 2)
(2x - 1)(3x - 6)
(2x - 2)(3x - 3)
(2x - 6)(3x - 1)
#9

What is the discriminant of the quadratic equation ax^2 + bx + c = 0?

b^2 - 4ac
2ab - c
a^2 + b^2 - 2c
4a^2 + 4bc
#10

Simplify the expression: (2x^3 - 4x^2 + 6x) / (2x)

x^2 - 2x + 3
x^2 - 2x
x^2 + 2x - 3
x^2 + 2x
#11

If a quadratic equation has one real root, what can be said about its discriminant?

Equal to zero
Greater than zero
Less than zero
Any value is possible
#12

Simplify the expression: (4x^4 - 16x^2) / (2x^2)

2x^2 - 8
2x^2 - 4
2x^2 + 8
2x^2 + 4

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