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
Write an inequality.
A person's height, h, must be at least 48 inches tall to go on this ride.
h > or equal to 48
or
48 < or equal to h
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
The length of the driveway, d, is longer than 1/5 mile.
d > 1/5
or
1/5 < d
Addition is the inverse of division?
False
x is less than 1
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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
The cost, c, is less than $45.
c < 45
or
45 > c
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
The fewest number of minutes, m, that a player must practice per day is 45 minutes.
m > 45
or
45 < m
Inequalities only have one solution, just like equations.
False. Inequalities have infinitely many solutions.
x does not exceed 15
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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
Write an inequality
Julie earns "d", dollars, for each car she washes. This week, she wants to save more than $56. What's an inequality to show how much she wants to save?
What is:
d > 56
or
56 < d
Given c + 4 > 14
We use the inverse operation of subtraction to solve the inequality.
TRUE
x is at most 23
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