One-Step Equations
Solving Equations
Solve for x.
-2x = 18
What is:
x = -9
Solving Equations
Solve for x.
-4x + 3 = 7
What is:
x = -1
Solving Inequalities
Solve for c.
c - 11 > 22
What is:
c > 33
Is the statement true or false?
2X > 6
X > 3
True
A new one-year membership at RecPlex costs $160. A registration fee of $28 is paid up front, and the rest is paid monthly. How much do new members pay each month?
$11
Solve the equation
x + 14 = -88
What is:
X = -102
Solving Equations
Solve for x.
2x - 5 = - 11
What is:
x = -3
Solve the inequality
-2x < - 4
x > 2
Is the statement true or false?
-2K + 30 = -10
K = -40
False
Juan’s cell phone company charges $35 a month for phone service plus $0.50 for each text message. How many text messages does Juan send in a month if his bill was $52?
34 text messages
solve the equation
z / 30 = 70
z = 2,100
Solving Equations
Solve for x.
-9(x + 1) = 63
What is:
x = -8
Write an inequality
S is at most 55
s <= 55
We use a closed circle to represent the inequalities < and > ?
False
Sandra scores 4 baskets in his first basketball game. She then scored the same number of baskets in each of her next 3 games. If Sandra made 19 baskets total, how many baskets did she score in each of the three games?
5 baskets
solve the equation
-4x = 14
What is:
x = -3.5
Solve for v.
v/3 + 14 = 30
v = 48
Write an Inequality
J is less than 8
J < 8
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.
A concert venue can hold a maximum of 2,500 people. If 1,200 tickets have already been sold, how many more tickets can be sold without exceeding the venue's capacity? Write an inequality to represent the situation and solve for the number of additional tickets.
x + 1,200 < 2,500
1,300 tickets
Solve the Equation:
f - 9 = -58
What is:
f = -49
15 - x = 40
x = -25
Modeling and Solving Inequalities
Create an inequality to represent the scenario and solve the inequality
Julie earns $7 for each car she washes. This week, she wants to save more than $56. How many cars must she wash?
What is:
7c > 56
Given c + 4 > -14
We use the inverse operation of subtraction to solve the inequality.
TRUE
Liam is running a charity marathon and wants to raise at least $1,000. He has already raised $450 from donations, and he plans to collect more donations at the event. If each participant donates at least $25, write an inequality to represent how many participants he needs to raise at least the target amount. Solve for the minimum number of additional participants he needs.
450+25p≥1000
p≥22
Liam needs at least 22 additional participants to meet his fundraising goal.