Equations/Inequalities
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
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!
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
−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
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
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