One-Step Equations
8m = 24
What is m?
8m = 24
m = 3
-3m - 2m = 5
What is m?
-3m - 2m =
-5m = 5
m = -1
When solving an equation what is the first step before combining like terms?
Distributing
How many solutions does this equation have?
2x + 2 = 2x + 2
Infinite Solutions
It is the same on both sides.
Give an example of a variable.
Any letter is correct.
11 + r = 29
What is r?
r + 11 = 29
r = 18
10p - 8p = 12
Solve for p
10p - 8p = 12
2p = 12
p = 6
5g + 1 = 4g + 4
What is g?
5g + 1 = 4g + 4
1g + 1 = 4
1g = 3
g = 3
How many solutions are there?
x = x + 1
No Solution
x = x + 1
0 = 1
What is the coefficient in 3x?
3
7h = 21
What is the value of h?
7h = 21
h = 3
3a + 5 = 11
What is the value of a?
3a + 5 = 11
3a = 6
a = 2
4 + 10f = 7 (2f - 4 )
What is f?
4 + 10f = 7 (2f - 4 )
4 + 10f = 14d - 28
4 = 4f - 28
32 = 4f
8 = f
How many solutions does this equation have?
24 = 2(r + 2)
One Solution
24 = 2(r + 2)
24 = 2r + 4
20 = 2r
10 = r
The math vocabulary word for opposite, as in using an _________ operation.
Inverse
a/9 =-3
What is the value of a?
a/9 = -3
a = -27
-3a + 5 = -10
Find the value of a.
-3a + 5 = -10
-3a = -15
a = 5
6(2y - 6) + 5= 25 + 4y
What is the value of y?
6(2y - 6) + 5= 25 + 4y
12y - 36 + 5 = 25 + 4y
8y - 31 = 25
8y= 56
y=7
How many solutions?
-8x = -7 (x -1) - x
No Solution
-8x = -7 (x -1) - x
-8x = -7x + 8 - x
-8x = -8x + 8
0 = 8
What phrase means to put together variables and to put together constants in an expression or an equation?
"Combine like terms"
x - 4.3 = 5.7
What is the value of x?
x - 4.3 = 5.7
x = 10
9t - 6 - 6t = 6
What is the value of t?
9t - 6 - 6t = 6
3t - 6 = 6
3t = 12
t = 4
9(y - 4) - 7y = 5(3y - 2)
What is y?
9(y - 4) - 7y = 5(3y - 2)
9y - 36 -7y = 15y - 10
2y -36 = 15y -10
2y - 26 =15y
-26 = 13y
y = -2
How many solutions?
4 (x + 4) = 2 (2x + 8)
Infinite Solutions
4 (x + 4) = 2 (2x + 8)
4x + 16 = 4x + 16
What is the goal of solving a multistep equation?
To isolate the variable, or get it by itself to find the solution.