Equations/Inequalities
Linear Functions
Combining Like Terms
Two-Step Equations
True/False Statements
100
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
100
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
100
3x + 5x
8x
100
Solving Equations
Solve for x.
4x + 3 = 7
What is:
x = 1
100
Is the statement true or false?
2X > 6
X > 3
True
200
x-2x+3=3-x
0=0
Infinitely Many Solutions!
200
y+4=-2/3(x-3)
y=-2/3x-7
200
12x + x - 3x + 7 + 2
10x+9
200
Solving Equations
Solve for x.
2x - 5 = - 11
What is:
x = -3
200
Is the statement true or false?
-2K + 30 = -10
K = -40
False
300
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
300
Write an equation of this linear function.
y=2x+2
300
−6(x + 4)
-6x-24
300
Solving Equations
Solve for x.
-9x + 1 = -71
What is:
x = 8
300
We use a closed circle to represent the inequalities < and > ?
False
400
-2/3(3x+9)>4-(x-7)
x<17
400
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
400
17+(1 + 9x) ⋅ −10
7-90x
400
Solve for v.
v/3 + 14 = 30
v = 48
400
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.
500
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
500
Graph by finding the intercepts 5x-2y=-10
Intercepts: (-2,0) and (5,0)
500
3x + 4x + 5y + 6y + 7 + 8
7x+11y+15
500
Modeling Equations
Create an equation that represents the following expression and then solve it.
Harvey's age doubled is 6
2a = 6
a = 3
500
Given c + 4 > -14
We use the inverse operation of subtraction to solve the inequality.
TRUE