Solving Equations
Functions
Slope Intercept/Linear Equations
Simplifying Expressions
Quadratics
Miscellaneous
100
Solve for x.
3x + 3 - 2x = 21
x = 18
100
Is this a function?
{(1, 2), (2, 3), (2, 4)}
No
100
In slope intercept form of a linear equation, which letter represents the y-intercept?
y= mx + b
b
100
Simplify.
4h2k - 4hk2 + 2k2 + 7hk2 - 3h2k - 3hk2
2hk + 4k
100
What are a, b, and c?
y = -3x2 + 11x - 8
a = -3
b = 11
c = -8
100
Solve for x.
(x-7)2 - 9 = 0
x = 10, 4
200
Solve for x.
4x - 5 - 3x + 2 - 2x = 9
x = -12
200
Is this function discrete or continuous?
Discrete
200
Find the slope: y = 3x + 5
3
200
Simplify.
22p - 7p + 19 - 15 - 12
15p - 8
200
Solve for x.
x2+12x-28 = 0
x = -14, 2
200
Write in expanded form.
(3n-5)2
9x2-30x+25
300
Solve for x.
(3 - 3x)/7 = 6
x = -13
300
What is the range of this discrete function?
{0, 1, 2, 3, 4}
300
y = -2x + 7
Where does the linear equation cross the y-axis?
At y=7
300
Simplify.
-4(3x - 2) -2(4 + 3x)
-18x
300
Solve for x.
8x2 + 10x - 3 = 0
x = 1/4 or -3/2
300
Solve the system.
y = 2x - 1
y = -3x + 14
(3, 5)
400
Solve for h.
A = ½×b×h
h = 2×A÷b
400
Solve for a.
ax + b = c
Algebra: a = (c - b)/x
400
What is the slope of the following equation:
2x + 2y = 8
slope = -1
400
Simplify.
(x^2-x)-(7x^2+3x-1)
-6x2-4x+1
400
Factor completely.
y = 6x2-26x-20
y = 2(3x+2)(x-5)
400
Solve the system.
y = 3/2x+2
y+2 = 2x
(8, 14)
500
Solve for x.
(3x-5)/4 = 5
x = 25/3 or 8⅓
500
What's the domain of x = 3?
3
500
What's the slope of the line passing through (3,9) (5,4)
slope: -5/2
500
Simplify.
(x-1)/(x-5)
500
What is the axis of symmetry AND y intercept of the following quadratic?
y = 2x2-8x+11
x = 2
y-intercept at y = 11
500
Solve the system.
2y = 6x -2
-y + 1 = x + 6
(-1, -4)
600
Solve for x.
x2 - 8x + 20 = 0
No real solution.
(8+-6i)/2
600
What is the range of y = x2?
All ys greater than or equal to 0.
y≥0
600
What's the slope of this graphed linear function?
-3/4
600
Simplify.
(x^2-16)/(8)-:(x^2-8x+16)/(28)
(7x+28)/(2x-8)
600
Find the vertex.
y = 2x2-8x+7
(2, -1)
600
Solve for t using the quadratic formula. Round to the nearest hundredth.
-2t2 + 3t + 1 = 0
t = -0.28, 1.78