When solving an inequality, when do you "flip" the inequality sign? Why does it "flip"?
You flip the sign when there is a negative integer multiplying by the variable. It flips because otherwise the inequality would be incorrect when you solve
Name 3 ways to graph a linear function.
1. plotting points and then drawing a line through the points
2. using the y-intercept and slope
3. applying transformations to the identity function f(x)=x f ( x ) = x
3x + 5x
8x
Solving Equations
Solve for x.
4x + 3 = 7
What is:
x = 1
Is the statement true or false?
2X > 6
X > 3
True
x-2x+3=3-x
0=0
Infinitely Many Solutions!
y+4=-2/3(x-3)
y=-2/3x-7
12x + x - 3x + 7 + 2
10x+9
Solving Equations
Solve for x.
2x - 5 = - 11
What is:
x = -3
Is the statement true or false?
-2K + 30 = -10
K = -40
False
Oregano has $1350 in the bank. He wants to buy his first car that costs $2550. He deposits $40 each week from his paycheck. Write an equation and determine how many weeks he will need to save before he will reach his goal.
30 weeks
Write an equation of this linear function.
y=2x+2
−6(x + 4)
-6x-24
Solving Equations
Solve for x.
-9x + 1 = -71
What is:
x = 8
We use a closed circle to represent the inequalities < and > ?
False
-2/3(3x+9)>4-(x-7)
x<17
Write an equation in point-slope form and slope-intercept form for a line that passes through the points (5,-8) and (-2, 13).
y+8=−3(x−5)
y=−3x+7
17+(1 + 9x) ⋅ −10
7-90x
Solve for v.
v/3 + 14 = 30
v = 48
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.
Fred is trying to earn a football award. He earns the award if he passes for at least 1000 yards during the season. He has already completed 485 passing yards. If he has 6 games left, how much must he earn at each game to win the award? Be sure to write an inequality to represent the situation.
x>=86
Graph by finding the intercepts 5x-2y=-10
Intercepts: (-2,0) and (5,0)
3x + 4x + 5y + 6y + 7 + 8
7x+11y+15
Modeling Equations
Create an equation that represents the following expression and then solve it.
Harvey's age doubled is 6
2a = 6
a = 3
Given c + 4 > -14
We use the inverse operation of subtraction to solve the inequality.
TRUE