Two-Step Equations
Solve the equations.
14-3g=32
18-r=42
g=-6
r=-24
Solve the equation. 6(x-1)=12
17t-7-9t=25
x= 3
t=4
Build an equation or inequality to represent the situation. (You do not need to solve)
John has $45 in his piggy bank. His dad will pay his $15 an hour for mowing the lawn. How many hours would he need to work to have at least $250 for his new gaming console?
45 + 15x> or equal to 250
Solve the inequalities. 1≥x-9 ; x+4<3
10≥x ; x<-1
Solve the inequalities. 2y+7>11 ; 6n-3≤-9
y>2 ; n≤1
Solve the equations.
w/4 -21=-3
15y-63=57
w=72
y=8
Solve the equations. 5+2(x-2)=19
14t-4-9t=31
x=9
t=7
Write the given situation as an equation or inequality and then solve it.
Kings Island sells summer memberships for $100 each. Normal admission to the park costs $35; admission for members costs $10. If Darren wants to spend no more than $150 on trips to the amusement park this summer, how many visits can he make if he buys a membership with part of that money?
100+10x<=150
x<=5
5 visits
Solve the inequalities. 5+m+8≥14 ; 13+n-26<38
m≥1 ; n<51
Solve the inequalities. 11-4z<-1 ; 3m-8>-30+5m
z>3 ; 11>m or m<11
Solve the equations.
4-3x=34
6-4u=26
x=-10
u=-5
Solve the equations. -5(3n+5)=20
22+4y-14=0
n= -3
y=-2
Bryan always likes to have at least $150 in his savings account. Currently he has $800 in the account. If he withdraws $35 each week, after how many weeks will the amount in his savings account be less than $150?
800-35x <= 150
Solve the inequalities. a/2 < -9 ; -3y>36
a<-18 ; y<-12
Solve the inequalities. 3+b/3<7 ; 4(5-3b)>4b+4
b<12 ; 1>b or b<1
Solve the equations.
d/15 +26=33
4x+5=-15
d=105
x=-5
Solve the equations. 42=18t+4(t+5)
-2(z+11)=6
t=1
z=-14
Evelyn can either take her lunch or buy it at school. It costs $1.95 to buy lunch. If she wants to spend no more than $30 each month, how many lunches can she buy at most?
1.95x less than or equal to 30
Solve the inequalities. -11d≤66 ; 5z<65
d≥-6 ; z<13
Solve the inequalities. -3x -8≥-17 ; x/7 -11≥-3
x≤3 ; x>=56
DAILY DOUBLE!!!! Write the verbal sentence as an equation and solve. Five minus the product of 2 and a number is 7.
5-2x=7
x=-1
What is the solution of the equation: -3(2x-1)=-21
a) -4
b) -3
c) 3
d) 4
d) 4
The equations below represent Joey’s trip to Target to buy clothes, where j represents jeans and s represents shirts.
25j + 10s + 8.03 = 154.03
What could 8.03 represent in the equation?
What does 25j + 10s + 8.03 represent?
3. What does 25j represent?
1. sales tax
2. total amount spent at Target with sales tax
3. amount spent on jeans (each pair of jeans costs $25)
Which inequality is equivalent to -18≤3p? a) p≥-54 ; b)-54≥p ; c)p≥-6 ; d)-6≥p
c) p≥-6
What is the solution of the inequality z/4+3<15? a)z<48
b)z>-48
c)z<-3
d)z>-3
a) z<48