Number of Solutions
True or False: A linear equation has ONE solution when the variable equals zero.
True
y/4 +10=-14
-96
-2 = -7m + 6m
2
4m+2=-3m+16
m=2
What is the first step in solving the multistep equation?
Unpack parenthesis (distribute)
True or False: A linear equation has INFINTELY MANY solutions when both sides of the equation are the same?
True
17=3x-4
7
-3(2a-3)+1=-20
a=5
2+x=1+6(7x+7)
x=-1
What is the second step in solving the multistep equation?
Separate (variable and number)
True or False: A linear equation has ONE solution when the equation makes a false statement
False
-8=-2-3p
p=2
-168=-7(-5+3x)-8x
x = 7
4w+2-w=7-2w
w=1
What is the third step in solving the multistep equation?
Divide (by the multiplier of x)
How many solutions does this equation have?
y+13+7y-7=2(4y+3)
Infinitely Many
Which of the following has a solution of y=-22. Select all that apply.
A) y/3+3=-9
B) -68=3y-2
C) -2y+9=-11
D) y/2+8=-3
B and D
-4(5x-8)= -108
a=7
4r+39=5(5-2r)
r=-1
What is the final solution?
2x<-10
x<-5
How many solutions does this equation have?
25-2z-10z = -3(4z+8)-1
No Solution
Justin signed up for a gym membership. The gym charges a one-time fee of $59 plus a monthly fee of $41.50. Justin determines that he will pay a total of $557 for his gym membership after how many months?
12
Erin and Olivia are timing their minutes spent reading. Erin has read 145 minutes so far, and plans to read 25 minutes each day as she continues. Olivia has read 200 minutes and plans to read 14 minutes each day as she continues. After how many days will they have read the same amount of time? Write and solve an equation to represent this situation.
5 days
Drew had $48 in his savings account. Each week he added $8 to his account. Stacie had $87 in her account. Each week she took $5 out. After how many weeks will they have the same amount of money in their savings accounts?
3 weeks
What is the final solution?
10<x/(-2)
x<-20