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 multistep equations?
Distribute (get rid of grouping symbols)
True or False: A linear equation has INFINTELY MANY solutions when both sides of the equation are equivalent?
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 multistep equations?
combine like terms
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 multistep equations?
Move the variable to one side
How many solutions does this equation have?
y+13+7y-7=2(4y+3)
Infinite
Which of the following has a solution of y=-22. Select all that apply.
A) 2y-11=-2
B) -22=y+1
C) y/3+3=-9
D) -68=3y-2
E) -2y+9=-11
F) y/2+8=-3
D and F
-4(5x-8)= -108
What is a=7
4r+39=5(5-2r)
r =-1
What is the fourth step in solving multistep equations?
Add or Subtract to isolate the variable term
How many solutions does this equation have?
25-2z-10z = -3(4z+8)-1
None
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?
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 fifth step in solving multistep equations?
multiply or divide to isolate the variable