Two-Step Equations
Solve the equation: R-18=42
r=60
Solve the equation: 6(x-1)=12
x= 3
What are two numbers that are solutions to the inequality below.
x+4<3
any numbers less than -1
Is y=2 a solution to the inequality?
2y+7>11
NO
How can you tell when an equation will have no solution?
When all the variable are canceled from the equation and you are left with a false number statement like 8 = 9
Solve the equation: w/4 -21=-3
w=72
Solve the equation: 14t-4-9t=31
t=7
Write an inequality for the situation below.
Mrs. Cape spent a maximum of 3.5 hours relaxing this weekend.
h<=3.5
Solve the inequalities: 11-4z<-1
z>3
Will the equation have one solution, no solution, or all real number solutions?
-9x + 5 = 5(1 - x) - 4x
All real numbers
Solve the equation: 4-3x=34
x=-10
Solve the equation: -5(3n+5)=20
n= -3
Solve the inequalities. -3y>36
y<-12
Solve the inequalities: 3 + b/3 < 7
b<12
Write an equation with variables on both sides that would have no solution.
varies
Solve the equation: d/15 + 26 = 33
d=105
Solve the equation: -(z+11)=6
z=-17
Graph the inequality on a number line.
0 < x
x is less than zero (pointing to left)
Solve the inequalities:
x/3 - 8 >=-3
x
>=
15
Solve the equation.
7x - 12 = 2(x+1) -14
x = 0
Write the statement as an equation. Mrs. Cape has 90 minutes to grade papers. How many papers can she grade if each paper takes her 4 minutes?
4x = 90
What is the solution of the equation: -0.5(2x-10)= 8
-3
TRUE or FALSE: When solving the inequality below you would need to flip the inequality symbol.
-18≤3p
False
Solve the inequality:
z/-4 + 3 <15
z>-48
Solve the equation below.
8 - 2(4v + 6) = -4 - 8v
all real numbers