Multi Step Equations
Solving Equations
Solve for x.
4(3x-10) + 7 = 15
What is:
x = 4
Solving Equations
Solve for x.
4x + 3 = 7
What is:
x = 1
Solving Inequalities
Solve for n:
165 > -7(4n-4)-3
What is:
n> -5
Is the statement true or false?
2X > 6
X > 3
True
What is the first step in solving both equations AND inequalities?
DISTRIBUTE (get rid of parentheses)
Solve the equation
5(x+1) - 2 (3x-4) = 14
What is:
X = -1
Solving Equations
Solve for x.
2x - 5 = - 11
What is:
x = -3
Solve the inequality
n+3 - 2n > 5 + n - 1 + 3
n <-2
Is the statement true or false?
-2K + 30 = -10
K = -40
False
Solve for g:
g/2 - h = 500
g = 2(500 + h)
solve the equation:
0.2(4-5x)+1=2.4
x=-0.6
Solving Equations
Solve for x.
-9x + 1 = -71
What is:
x = 8
Write an inequality
S is at most 55
s <= 55
We use a closed circle to represent the inequalities < and > ?
False
What makes solving inequalities different than solving equations? (most important rule?)
FLIP the direction of the sign when you multiply or divide by a negative number!!!
solve the equation
0.4(2x+3)=0.3x+0.8
What is:
x = -0.8
Solve for v.
v/3 + 14 = 30
v = 48
Write an Inequality
J is less than 8
J < 8
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.
What is the 4th step in solving equations?
Do the INVERSE of whatever is MULTIPLIED or SUBTRACTED
Solve the Equation:
8-3(2x-5)=4(x+2)
What is:
x=1.5
Modeling Equations
Create an equation that represents the following expression and then solve it.
Harvey's age doubled is 6
2a = 6
a = 3
Modeling and Solving Inequalities
Create an inequality to represent the scenario and solve the inequality
Julie earns $7 for each car she washes. This week, she wants to save more than $56. How many cars must she wash?
What is:
7c > 56
Given c + 4 > -14
We use the inverse operation of subtraction to solve the inequality.
TRUE
How do you spell Ms. K's last name??
KAUTZ