Distribution/CLT
6(x-2)+4=16
no- when you solve the equation, you get x=4, 4 is not equal to -4
Solve for x:
(1/3)(3x-12) = 22
x = 26
Solve the following equation for x:
8x = w
x = w/8
How many solutions does the following equation have?
6(x+2) = 2(3x+6)
infinitely many
Fall
Solve for x:
(1/2)(6x - 8) = 2x + 1
x = 5
Solve the following equation:
0.8x - 2.1 = 4.4 + 0.3x
x=13
What equation do you get when you solve the equation ab + 9 = c for b?
b = c-9/a
How many solutions does the following equation have?
-4x +12 = 15 - 4x
none- no solution
What is Ms. Munson's favorite type of takeout food?
Chinese food
What equation represents the missing step for Step B the solution below?
2(x+3)=15-x
2x+6=15-x
Step A
Step B
x=3
a) x=9 b) x=3 c) 3x=9 d) 3x=3
c) 3x=9
Solve for x:
2(x+5) + 3(x-2) = 19
x=3
Jack is 4 times as old as Jill. The sum of their ages is 100.
Write and solve an equation to find both Jack and Jill's ages.
4x + x = 100
Jack's age = 20
Jill's age = 80
Carl buys some pairs of sunglasses that cost $4 each and he also buys 2 hats that cost $15 each. The cost of Carl's total purchase was $64. Write an equation that can be used to find the number of sunglasses, s, that Carl bought.
4s + 30 = 64
How tall is Ms. Munson?
5'10"
Solve for x (re-write on board)
x+6/x+10 = 2/4
x= -2
Solve for x:
3(x+4)-2(x-1)=2x+9
x=5
In a game, Ms. Munson's score was 7 times Sebastian's score. Together they scored 360 points. Write and solve an equation using let statements to solve for both of their scores.
7x + x = 360
Sebastian's score = 45 points
Ms. Munson's score = 315 points
:)
Consider the equation:
4(2x + 5) = ax + b
Find one value of a and one value of b so that there are infinitely many values of x that would make the equation true. Explain your answer!
a = 8
b = 20
How many siblings does Ms. Munson have?
Bonus 200: Are they brothers/sisters?
Bonus 100: What is the order of siblings?
2 siblings- one brother one sister
Ms. Munson, brother, sister
Solve for x:
-2(3x-4) + 7x = 10 - x
x = 1
The equation below was solved incorrectly. Identify the step at which the mistake was made, and explain what the mistake was.
3x + x + 13.5 = (1/2)(x-8)
Step 1: 4x + 13.5 = (1/2)x - 4
Step 2: 8x + 13.5 = -4
Step 3: 8x = -17.5
Step 4: x = -2.1875
In step 2, they divided by 1/2 instead of subtracting 1/2x from both sides.
Solve the equation for a:
11x + ab = c
a = c - 11x / b
Consider the equation:
4(2x + 5) = ax + b
Find one value of a and one value of b so that there are no values of x that would make the equation true. Explain your answer!
a = 8
b = any number besides 20
When is Ms. Munson's birthday?
December 21