Linear Systems
Find the x and the y values using elimination:
3x + 4y = 10
2x + 3y = 7
x=2, y = 1
Simplify the following expression:
3x2 + 2x - 5
3x2 + 2x - 5
Find the vertex of the parabola defined by:
y = x2 −6x + 8
(3, -1)
Question: Solve the quadratic equation:
2x2 − 3x − 2 = 0
x = -1, x = 2
Calculate the cosine of a 30∘ angle.
0.866
Find the x and y value by using substitution:
3x + 6y = 12
5x - 8y = 2
x = 2, y = 1
Factor the quadratic expression:
(x - 2)2
(x - 2)(x - 2)
Determine the axis of symmetry for the parabola:
y = −x2 + 4x − 2
x = 2
Find the solutions to the equation:
x2 + 7x + 12 = 0
x = -3, x = -4
Determine the value of tan(45∘).
1
Find the x and y value by using substitution:
7x -5y = 1
8x + 4y = 40
x = 3, y = 4
Evaluate the expression for x = −2:
2x2 -5x +1
19
identify the direction of the opening of the parabola:
y = −2x2 + 4x − 1
Opens downward
Solve for x in the quadratic equation:
4x2 + 4x + 1 = 0
x = -0.5, x = -0.5
Calculate the cosine of a 90∘ angle.
0
Find the x and the y values using elimination:
3x + 2y = 8
2x - y = 3
x = 2, y = 1
Factor the quadratic expression:
5x2 + 10x + 5
5(x + 1)2
Find the y-intercept of the quadratic relation:
y= −2x2 + 6x − 4
y = -4
Question: Determine the roots of the equation:
3x2 + 5x + 2 = 0
x = -1, x = -2/3
A right angle triangle has one of its angles equal to 45∘, What does the missing angle equal?
45∘
Find the x and y value by using substitution:
2x + 7y = 34
5x - 4y = -1
x = 3, y = 4
Expand and simplify the expression:
(2x−3)2
4x2 - 12x + 9
Determine the solutions for the quadratic relation:
x2 − 8x + 16 = 0
x = 4, x = 4
Solve the quadratic equation:
5x2 + 10x + 5 = 0
x = -1
SOH CAH TOA
Sin = Opp/Hyp
Cos = Adj/Hyp
Tan = Opp/Adj