Solving Equations
Solve for x:
2x + 5 = 4x - 7
x = 6
Is this ready for elimination:
2x + 3y = 10
5x - 3y = 15
YES
What are two numbers that multiply to make 20 and add up to 12?
2 and 10
Does this equation have an EVEN or an ODD degree?
y = - (x + 5)(x + 3)(x - 3)(x - 5)(x - 7)
ODD (5 is also an appropriate answer)
What is the y-intercept of this line?
y = 2x + 5
5
Solve for x:
3x + 13 + 2x + 7 = 180
x = 32
What would you have to do to get this ready for elimination?
3x - 2y = 5
6x + 5y = 15
Multiply the first equation by -2
(less likely but still correct answers do exist)
What are two numbers that multiply to make 30 and add up to 11?
6 and 5
Does this equation have an even or an odd degree?
y = x6 - 4x5 + 3x3 - 7x2 + 3x - 5
EVEN (6 is also a correct answer)
What is the slope of this line?
y = 2x + 5
2
Solve for x:
x2 + 5 = 30
x = 5, -5
Solve for y:
3x - 2y = 10
-3x - 4y = 14
y = -4
Factor this expression:
x2 + 13x + 42
(x + 7)(x + 6)
What is the end behavior for this function?
y = - (x + 3)(x + 2)(x - 4)(x - 5)
Down to the left, down to the right
Solve for x:
x2 = - 25
NO SOLUTION
Solve for x:
|x| - 3 = 10
x = 13, -13
Solve for x:
2x - 4y = 12
3x + 2y = 2
x = 2
Factor this expression:
x2 - 3x - 40
(x - 8)(x + 5)
What are the x-intercepts of this function?
y = (x - 3)(x - 5)(x - 7)(x + 2)
x = 3, 5, 7, -2
What is the vertex of this equation?
y = (x - 2)2 - 5
(2, -5)
Solve for x:
x3 = 27
x = 3
Solve for x:
3x + 4y = 8
5x + 3y = -5
x = -4
Factor this expression:
x2 - 2x - 63
(x - 9)(x + 7)
What are the x-intercepts of this function?
y = - (x - 3)(x - 5)(x + 2)(x + 5)
x = 3, 5, -2, -5
What is the vertex of this equation?
y = - (x + 3)2 - 1
(-3, -1)