1.1
1-Step Equations
1-Step Equations
1.2
Multistep Equations
Multistep Equations
1.2
Multistep Equations
Multistep Equations
1.3
Equations w/ Variables on Both Sides
Equations w/ Variables on Both Sides
1.3
Equations w/ Variables on Both Sides
Equations w/ Variables on Both Sides
1.4
Rewriting Equations
Rewriting Equations
100
d+7=25
d=18
100
-3z+1=28
-3z+1-1=28-1
(-3z)/-3=27/-3
z=-9
100
2+10x=32
2-2+10x=32-2
10x=30
x=3
100
5y-14=2y-2
5y-2y=14-2
3y=12
y=4
100
2s-31=2s-9
-31!=-9
no solution
100
Solve for y.
2x+y=5
y=-2x+5
200
4a=84
(4a)/4=84/4
a=21
200
b/4-8=12
b/4-8=12
b/4-8+8=12+8
4*(b/4)=20*4
b=80
200
x/2-9=-25
x/2-9+9=-25+9
2(x/2)=(-16)2
x=-32
200
3d+4+d=13+d
4d+4=13+d
4d-d=13-4
(3d)/3=9/3
d=3
200
5(b-4)=5b-20
5b-20=5b-20
infinitely many solutions
200
Solve for t.
d=rt
d/r=t
300
k/-5=14
-5*(k/-5)=14*-5
k=-70
300
4n+8n-1=23
12n-1=23
(12n)/12=24/12
n=2
300
5(2v + 4) = 170
10v+20=170
10v+20-20=170-20
(10v)/10=150/10
v=15
300
6(h+4)=6h+4
6h+24!=6h+4
no solution
300
-10e+15=5(19-6e)
-10e+15=95-30e
-10e+30e=95-15
(20e)/20=80/20
e=4
300
Solve for y.
x+6y=8
6y=-x+8
y=(-x+8)/6
400
5f=32
(5f)/5=32/5
f=6.4
400
Find the value of x.
x+x+70+28=180
2x+98=180
2x=82
x=41
400
3(5-2h)+9=-30
15-6h+9=-30
-6h+24=-30
-6h+24-24=-30-24
(-6h)/-6=(-54)/-6
h=9
400
1/2(16n+20)=2(4n+5)
8n+10=8n+10
infinite solutions
400
4(x+3)+2x=9x−30
4x+12+2x=9x-30
6x+12=9x-30
12+30=9x-6x
42/3=(3x)/3
14=x
400
Solve for y.
10x-5y=15
-5y=-10x+15
(-5y)/-5=(-10x+15)/-5
y=2x-3
500
3/5t=18
(5/3)3/5t=18(5/3)
t=30
500
-3(x+2)+5x=-10
-3x-6+5x=-10
2x-6=-10
2x=-4
x=-2
500
You purchase 5 movies and a CD. The cost of the CD is $4.50. Your total bill before tax is $38.50. Write and solve an equation to find the cost of a movie.
(Assume all movies cost the same)
5m+4.50=38.50
5m+4.50-4.50=38.50-4.50
(5m)/5=34/5
m=6.80
500
9(8d-5)+13=12d-2
72d-45+13=12d-2
72d-32=12d-2
72d-12d=32-2
(60d)/60=30/60
d=1/2 or 0.5
500
3+2(8-k)=3k-1
3+16-2k=3k-1
19-2k=3k-1
19+1=3k+2k
20/5=(5k)/5
4=k
500
Solve for x.
y=mx+b
y-b=mx
(y-b)/m=(mx)/m
(y-b)/m=x