Solve multistep equations
−20=−4x−6x
x=2
8x−2=−9+7x
x=-7
Write the equation from the scenario:
Samantha earns $12 per hour for babysitting and earned an additional $20 tip last weekend. If she made $92 total, how many hours did she babysit?
12h+20=92
Write the Rule:
A(2,5)->A'(3,1)
(x,y)->(x+1,y-4)
Write the rule:
B(2,5)->B'(5,-2)
(x,y)->(y,-x)
6=1−2x+5
x=0
a+5=−5a+5
a=0
Write an equation for the scenario:
Jacob bought 3 notebooks of the same price and a backpack that cost $25. He spent $61 in total. How much did each notebook cost?
3n+25=61
Write the rule:
D(2,4)->D'(-2,4)
(x,y)->(-x,y)
Write the rule:
C(-1,-3)->C'(-4,-12)
(x,y)->(4x,4y)
12=−4(−6x−3)
x=0
p−1=5p+3p−8
p=1
Write an equation for the scenario:
A group of friends buys movie tickets for $9 each and spends $12 on snacks. If their total cost was $57, how many tickets did they buy?
9x+12=57
Translate the point right 4 and down 3.
E(-6,4)
E'(-2,1)
Dilate the point with a scale factor of 5,
H(2,7)
H'(10,35)
−(7−4x)=9
x=4
p−4=−9+ p
no solution
Write an equation for the scenario:
Each book costs $7. Jamie also paid $8 for shipping. If she paid $50 in total, how many books did she buy?
7b+8=50
Reflect the point across the y-axis.
F(5,1)
F'(-5,1)
Rotate the point 90 degrees CW.
J(2,3)
J'(3,-2)
−5=−8(6+5n)-3n
n=-1
5(x+3)-2=5x+11
Infinite Solutions
Write an equation for the scenario:
A gym charges a one-time registration fee of $35 plus $15 per month. If Maria paid a total of $110, how many months has she been a member?
35+15m=110
Translate the point left 3 and then reflect across the x-axis.
G(3,-4)
G'(0,4)
Rotate the point 180 degrees, then dilate by a scale factor of 3.
K(3,1)
K'(-9,-3)