Simplifying
Simplify the following expressions
5x(-3+7)
-15x+35
Solve the following equation
4x-7=21
x=7
Determine how many solutions
3x+5=2x+8
One solution
Which of the following is equivalent to the equation 3(x−4)=2x+6
A) 3x−12=2x+6
B) 3x−12=2x−6
C) 3x+12=2x+6
D) 3x+12=2x−6
A) 3x−12=2x+6
Define distribute
to multiply a group of something (parenthesis)
-9(-3x+23+2m)
27x-207-18m
Solve for m
-5m+10=-5
m=3
Determine how many solutions
5x−3=5x+7
No solution
Which of the following expressions is equivalent to 2x+3x−5?
A) 5x−5
B) 5x+3
C) 7x−5
D) 7x+5
C) 7x−5
Define combining like terms
Adding or subtracting constants or variables with the same letter
-15x+6-7m-4+4m-3m
-22m+2-10m
Find the value of x
3x−5=2x+4
x=9
Determine how many solutions
2(x+3)=2x+6
Infinite solutions
Which of the following equations is equivalent to 4x+5=3(x−2)+11
A) 4x+5=3x−6+11
B) 4x+5=3x+6+11
C) 4x−5=3x+6+11
D) 4x+5=3x+5+11
A) 4x+5=3x−6+11
Identify the constant(s), coefficient(s), and variable(s) below
-10x+7-3m-9
Constants: 7 and -9
Coefficients: -10 and -3
Variables: x and m
15-6(-4z+10)-10z
14z-45
-45+14z
Solve for x
5(x−2)=3(2x+4)+1
x=-23
Determine how many solutions
3x+4−2x=7
One solution
Which of the following is equivalent to the expression 4(2x−5)+3(x+4)
A) 11x+8
B) 11x-8
C) 8x−7
D) 7x−8
B) 11x-8
What is the difference between an equation and expression
An equation has an = and can be solved
An expression can only be simplified (in some cases) not solved
12(-3x+13)-5(4x-22)
-56x+266
266-56x
Find the value of x
2(3x−4)−3(2x+1)=5x+7
x=-18/5
Determine how many solutions
3x−5+2x+4=5x−2+6
No solution
Which of the following is equivalent to the expression 5(2x+3)−4(x−2)+6
A) 10x+15−4x+8+6
B) 10x+15−4x−8+6
C) 10x−15−4x+8+6
D) 10x−15−4x−8+6
B) 10x+15−4x−8+6
What does it mean to simplify
To put something in smallest terms (everything is distributed/combined)