Two-Step Equations
Solve the equations.
14-3g=32
g=-6
Solve the equation.
6(x-1)=12
x= 3
Solve the inequalities. 1≥x-9
10≥x
Solve the inequalities. 2y+7>11
y>2
Write the following inequality as interval notation: -2 < x < 1
What is (-2, 1)
2n + 7 ≥ 27 or 3 + 3n ≤ 30
n ≥ 10 or n ≤ 9
IN: (neg. infinity, 9] or [10, infinity)
Write and Solve:Five years ago, Emma was 4 years older than half her cousin’s age. Today, Emma is 16.
How old is her cousin now?
Emma’s cousin is 19 years old.
Solve the equations.
w/4 -21 =-3
w=72
Solve the equations.
5+2(x-2)=19
x=10
Solve the inequalities. 5+m+8≥14
m≥1
Solve the inequalities. 11-4z<-1
z>3
4 < y ≤ 9
What is (4,9]?
-1 < 9 + n < 17
n > -10 and n< 8
IN: (-10, 8)
A movie theater sold adult tickets for $12 and child tickets for $7. The total number of tickets sold was 50, and the total money collected was $470. How many adult and how many child tickets were sold?
Adult tickets: 24
Child tickets: 26
Solve the equations.
4-3x=34
6-4u=26
x=-10
u=-5
Solve the equations. -5(3n+5)=20
n= -3
Solve the inequalities.
a/2<-9
a<-18
Solve the inequalities.
3+b/3<7
b<12
Solve and write the answer in interval notation. 10 < 3x + 4 < 19
What is (2, 5)?
-10x + 3 < -37 or 3x - 10 < -25
x > 4 or x<-5
IN: (neg. infinity, -5) or (4, infinity)
Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?
r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87
Solve the equations.
d/15+26=33
d=105
Solve the equations. 42=18t+4(t+5)
t=1
Solve the inequalities.
d/-11 <=6
d≥-66
Solve the inequalities.
x/-3-8>=-3
x≤-15
What is the difference between the number line graphs of these two intervals: (2,8] and [2,8] ?
What is the first graph has an open/unshaded circle at 2 while the second graph has a closed/shaded circle at 2.
-36 < 3p - 6 < -15
p > 10 and p < -3
IN: (-3, 10)
Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?
100<=5x+10
7k - 8 + 2(k + 12) = 52
k=4
4 - 8x = 13x + 2(2 +x)
What is x = 0?
Solve
s/-12 <=-5
What is
s>=60
3(p - 3) - 5p > -3p - 6
p > 3
IN: (3, infinity)
Solve & write the answer in interval notation. 5x + 7 < 3(x + 1)
What is (-infinity, -2)
−2≤−3x+1<4
−1<x≤1
(-1, 1]
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was $43.25. He had to pay a $7 entrance fee and $1.25 for every minute he was on the trampoline. Write and solve an equation.
7+1.25x=43.25 x=29