Writing Equations
Writing Equations
Create an equation that represents the following expression and then solve it.
Harvey's age doubled is 6
2x = 6
x = 3
Solving Equations
Solve for x.
x + 3 = 7
What is:
x = 4
Solving Inequalities
Solve for c.
c - 11 > 22
What is:
c < 33
We use inverse operations to solve equations and inequalities?
True
x is greater than or equal to -2
Writing Equations
Create an equation that represents the following expression.
Roman paid $150 to join a gym. He pays an additional $15 for every time he attends one of the club's live fitness classes. Let C = the total cost and n = the number of times he takes fitness classes.
C = 15n + 150
C = 150 + 15n
Solving Equations
Solve for x.
2x = 8
What is:
x = 4
What are two possible solutions for x?
2x < 4
x: 0,1
Addition is the inverse of division?
False
x is less than 1
<------- open circle
Writing Equations
Create an equation that represents the following expression.
A real estate agent receives a salary of $600 per week plus a commission of $250 per sale. Write an equations that gives the weekly income y in terms of sales x.
y = 600 + 250x
y = 250x + 600
Solving Equations
Solve for x.
3(4x+2) = 3x - 3
What is:
x = -1
Write an inequality
S is at most 55
s <= 55
We use a closed circle to represent the inequalities < and > ?
False
x is at least 7
Closed Circle -------->
Writing Equations
Create an equation that represents the following expression and solve it.
A sunflower in Julia's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 centimeters per day. Write an equation expressing the sunflower's height, H, in terms of the number of days, d, since it was planted. Solve for the height at day 10.
H = 0.6d + 12
H = 18
Solve for v.
(v-1)/4 = 2x + 5
v = 3
Write an Inequality
J is below 8
J < 8
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.
x does not exceed 15
<-------- open circle
Writing Equations
Create an equation that represents the following expression.
A large factory sells its technological gadgets for $150 each. Before selling any of the gadgets, they had already spent $3000 on parts. Write an equation that represents the relationship.
y = 150x - 3000
Solving Equations
Solve for x.
8x - 2(x+3) = 4x + 2
x = 4
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
x is at most 23
<-------- closed circle