How many solutions?
x = 2
One solution
If Nicole has $5 and she makes $20 every minute starting now. In "x" minutes from now, Nicole has made $520.
What equation best represents this scenario?
5 + 20x = 520
We want Infinite Solutions, what value must k have?
kx = 3x
k = 3
Rearrange so that b is by itself on the left side of the equation.
a + b = c
b = c - a
What might be Axel's first step in getting rid of the coefficient "2" before the parenthesis?
2(x+1) = 4
Divide both sides of the equation by 2
x = x
Infinite solutions
Kelly has $100 in her bank account, and makes $33 every hour at work. After enough hours, Kelly makes $199. How many hours did Kelly work?
100 + 33x = 199
x = 3
We want No Solutions, what value must k have?
kx + 1 = 2x
k = 2
Rearrange so that b is by itself on the left side of the equation.
ax + b = c
b = c - ax
What might be Naomi's first step to get rid of the fraction?
1/4 (x + 1) = 3
Multiply both sides of the equation by 4
x + 1 = x -1
No Solutions
Aiden and Jayden both work at Dairy Queen. Aiden started this week with $100 in his bank account and makes $20 every hour he works. Jayden started this week with $20 in his bank account and makes $25 every hour he works. What equation represents the scenario where Aiden and Jayden have the same amount of money after this week?
100 + 20x = 20 + 25x
We want Infinite Solutions, what value must k have?
k(x + 1) = 4x + 4
k = 4
Rearrange for y
ax + by = c
y = (c-ax)/b
Where is the mistake between?
Given: 2(x+1) = 3x + 2
Step 1 2x + 1 = 3x + 2
Step 2: 1 = x + 2
Step 3: -1 = x
Between Given and Step 1
Didn't distribute the 2 to the second term
2(x + 2) = 4 + 2x
Infinite Solutions
Jesus and Ailin both work at Dominoes. Jesus started this week with $10 in his bank account, and he makes $20 an hour. Ailin started this week with $50 and gets paid $10 an hour. If Jesus and Ailin work the same amount of hours, and had the same amount of money at the end of the week, then how many hours did they work?
10 + 20x = 50 + 10x
x = 4
We want No Solutions, what value must k have?
k(2x+1) = 4x + 3
k = 2
Rearrange to solve for L
P = 2L + 2W
L = (P-2W)/2
Where is the mistake between?
Given: 3(x+1) = 2x + 5
Step 1 3x + 3 = 2x +5
Step 2: x + 3 = 5
Step 3: x = 8
Between Step 2 and Step 3
Should subtract 3 from both sides
3(x + 2) = 3x - 6
No Solutions
Mary and Ray work at Taco Bell. Mary has $2200 in her bank account and spends $100 every week. Ray has $1200 and makes $150 every week. How many weeks will it take for them to have the same amount of money?
2200 - 100w = 1200 + 150w
w = 4
We want No Solutions, what value must k have?
k(2x - 3) = 10x - 30 - 4x
k = 3
Rearrange to solve for B
(A+B)/2 = 4C
B = 8C - A
Where is the mistake between?
Given: 3(x-1) = 2x + 5
Step 1 3x + 3 = 2x +5
Step 2: x + 3 = 5
Step 3: x = 2
Between Given and Step 1
Didn't distribute the 3 correctly with the second NEGATIVE term