One-Step Equations
What inverse operation do we need to use to isolate the variable x, below?
22x = -11
Division
What is the most efficient first step to solve the equation?
-6x + 20 = 32
Subtract 20 from both sides.
In the equation 2x + 7 = -5 + 8x, the terms 2x and 8x are the ____ terms and 7 and -5 are the ____ terms.
variable terms, constant terms
A point is on the line if the x and y coordinates make the equation ____.
True
In Nickelodeon cartoon, The Loud House, he is the 11-year old middle child of the family.
Lincoln Loud
What inverse operation do we need to use to solve the equation?
26 = 8 + v
Subtraction
Isaiah solved the equation below. Did he solve correctly? Explain.
3 - 5x = 17
+3 +3
5x = 20
/5 /5
x = 4
No. He needed to keep the minus (negative) sign in front of the 5.
-5x = 20
/-5 /-5
x = - 4
Solve for n.
7n - 11 = 2n + 9
n = 4
Is the point (0, 5) a solution to the equation
2x + y = 5?
Yes.
2(0) + 5 = 5
This boisterous Atlanta-based comedian is known for posting skits on Instagram in which he impersonates other people, eras, and cultures. He also created the "Coulda Been..." series.
Druski
Solve the equation.
28/x = 7
x = 4
Solve for x.
(x - 4) / 7 = 1
x = 11
Solve for the variable.
-3x + 18 = 5x + 2
x = 2
Find a point on the line. 4x - 2 = y
Various.
One of the most heavily played online gaming platforms ever, some classic titles on the website include, "Murder Mystery 2," "Adopt Me," "Work at a Pizza Place," and "Dress to Impress."
Roblox
Solve the equation.
-5 * d = 35
d = -7
Solve the equation.
2x + 2 = 12
x = 5
Solve for y.
4y + 8 = 2(y - 8)
y = -12
The equation y = 200x + 50 represents the amount money Morgan charges her clients per hour of work as an attorney. If she works 6 hours, how much money does she charge her client?
y = 1250
What are the first three digits of pi?
3.14
Isolate x.
x2 = 144
x = 12
Solve for x.
2(4 + 3x) = 26
x = 3
Solve for b.
7b - 2(b - 3) = 31
b = 5
If the x-coordinate on this line equals 5, what is the y-coordinate?
10 = (x + 2)2 - y
y = 39
What is the place value of the 1 in the decimal 0.001?
Thousandths