Write the algebra expression that models the phrase below:
19 less than a number x
x-19
6x – 13 = 11
x= 4
Solving Equations
4x + 3 = 7
x = 1
Solving Equations
-5p + 1 = 6
p = -1
Equations are different from Expressions because equations have an
equal sign
What property does the equation illustrate?
7+6=6+7
Commutative property of addition
or Symmetric property of equality
3x + 5 = 14
x= 3
Solving Equations
4 + 5x = 29
x = 5
Solving Equations
2n+10 = 4
n = -3
Evaluate the expression below when g=-7 and h=8
9g+10h+4
21
Classify the real number below.
pi
Irrational
x/2 + 13 =-8
x= -42
12x−3−5x=3(x−1)+4x
identity (infinitely many solutions)
Solving Equations
5(m-3) = 4
m = 19/5
Simplify the expression below.
4x+30-x+2x(y+3)
2xy+9x+30
What property of equality would you use to solve the one-step equation below?
5x = -80
Division property of equality
-x/2 + 5 =10
x= -10
Solving Equations
24 = 2(3a + 6)
a=2
3(2x+4)−5=2(3x−1)+6
7 = 4
Never true, so there is NO SOLUTION.
Find & fix the error if solving the equation for y:

Patty added m on the left & subtracted m on the right.
Correct solution:
y=m+1/2
Translate to an algebraic expression:
The sum of 8 times a number z and 3
8z+3
x/3 - 6 = -3
x= 9
Solving Equations
-21 = 7(5k - 8)
k = 1
Solve for x:
(3a)/(4x)=1/3
x=(9a)/4
Solve for x:
5x+2=ax-1
x=-3/(5-a)