Solving Equations and Inequalities
Multiple Representations of Linear Relationships
Some Trivia! oOoOoO!
Functions
Mixed Review
100
3x + 14 = 26
x = 4
100
What equation matches the graph? http://i.imgur.com/79h0g0F.jpg
y = -1x + 4
100
What happens when you multiply or divide both sides of an inequality by a negative number?
The inequality symbol flips, ya' dingus!
100
Identify the domain: http://i.imgur.com/DhjqsyC.png
{-3, -2, -1, 1, 3}
100
Combine like terms! (-5x + 7y - 11 + 13z) + (2x - 4z + 15)
-3x + 7y + 4 + 9z
200
4x + 9 = 7x - 3
x = 4
200
Write an equation of the line that passes through the following coordinates: (0, 1) (1, 3), (2, 5)
y = 2x + 1
200
What is another word for the x-values and the y-values of a function?
x-values: input, domain... y-values: f(x) values, output, range
200
Identify the range: http://i.imgur.com/DhjqsyC.png
{-2, -1, 1, 4, 5}
200
What is a quick definition of slope?
RISE OVER RUN!! AHHHH!!DAFDAW3G4 H;UANHA
300
3(4x + 1) = 2(x - 3) + 29
x = 2
300
What equation matches the graph? http://i.imgur.com/lFpuCyo.jpg
y = 3x + 2
300
What is the equation y = mx + b called? What do "m" and "b" represent in that equation?
slope-intercept form; m = slope, b = y-intercept
300
Evaluate f(3) for the function f(x) = -5x + 9
f(3) = -6
300
DOUBLE JEOPARDY!! Without looking, what color socks are you wearing?
Claaaaaassic you
400
x/4 - 3 = 5
x = 32
400
13 is added to 2 times a number; the result is 19. Write an equation to describe the situation, and find the number.
2x + 13 = 19; x = 3
400
The x-intercept is the point where the graph touches the x-axis. What is the y-coordinate of that point?
The y-coordinate is always zero for the x-intercept.
400
Evaluate g(-1) for g(x) = 3x^2 + 5x - 10
g(-1) = -12
400
Your buddy-ol'-pal solved the equation 5x + 5 = 25 and got x = 6. What did they do wrong? What is the correct answer?
They added 5 instead of subtracted 5 in their first step. The correct answer is x = 4.
500
18−4(2x+3)>2(4x−5)
x < 1
500
Imagine you're hanging out at home eating some of the most darn-tootin' delicious green grapes you ever did taste. You've already gobbled up fifteen and are eating them at a pace of 9 per minute. Make a table to represent the first five minutes of grape-eating. Also write an equation to describe the situation. (Let x be the number of minutes, and let y be the number of grapes.)
(0, 15), (1, 24), (2, 33), (3, 42), (4, 51), (5, 60); y = 9x+15
500
Using the correct vocabulary word, name the property that is used to complete first step to solving the equation 4(x + 1) = 9.
The distributive property, all DAY
500
Given the function h(x) = 5x - 4, what must the input be to receive an output of 26? That is, find x when h(x) = 26. (Or, equivalently, h(?) = 26.)
h(6) = 26. (That is, x = 6.)
500
The total of all of the energy of an object is given by the expression 3x^2 + 4x + 5, where x represents height off of the ground. If the gravitational potential energy is given by the expression 2x + 1, then what must the expression for the kinetic energy be? (That is, the total is 3x^2 + 4x + 5; part of the energy is 2x + 1; what must the other part be?)
The kinetic energy is represented by the expression 3x^2 + 2x + 4.
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