Solving Equations
x - 4.92 = 0.08
Draw a graph that represents x < 8
Open circle at 8
Shaded to the left of 8
Identify the Independent and Dependent variable:
The amount of money you have spent, s, and how much money you have left, m
Independent: s (amount of money spent)
Dependent: m (money left)
Use these coordinates to write an equations:
when x = 2, y = 3
when x = 3, y = 4
when x = 5, y = 6
y = x + 1
Solve for t:
t + 1/4 = 2 7/12
t = 2 1/3
x + 2 1/3 = 4 1/3
x = 2
Draw a graph that represents x is greater than or equal to 5
Closed circle at 5
Shaded to the right of 5
Identify the independent and dependent variable:
The distance traveled, d, and the speed, s.
Independent: s (speed)
Dependent: d (distance)
Use these coordinates to write an equation:
when x = 1, y = 6
when x = 2, y = 12
when x = 3, y = 18
y = 6x
x - 1/4 = 3 1/8
x = 3 3/8
x/3 = 2.5
x = 7.5
Draw a graph that represents "the value, v, of the hat is less than $9"
v < 9
Identify the Independent and Dependent variable:
The calories, c, in a snack and the amount of the snack, a.
Independent: a (amount of snack)
Dependent: c (calories)
If half of x = y, what will the value of y be when x = 8?
y = 4
Ava has $750 to plan a school dance. She paid $275 for the DJ. Tickets cost $6 per student.
Write an inequality that represents the number of students, s, that can attend the dance.
6s + 275 ≤ 750
OR
6s ≤ 475
x - 3 1/2 = 5 3/4
x = 9 1/4
Write an inequality for a graph that has a closed circle at 10, and is shaded to the right of 10.
10 ≤ x
OR
x ≥ 10
When Maya types at a rate of k words per minute, it takes her p minutes to finish her assignment.
Identify the independent and dependent variable.
Independent: k (rate of words per minute)
Dependent: p (minutes to finish assignment)
If half of x = y, what will the value of x be when y = 3?
x = 6
Carlos has a $300 budget for a class event. He spent $90 on supplies. Snacks cost $4 per student.
Write an inequality that represents the number of students, s, that can attend the event.
4s + 90 ≤ 300
OR
4s ≤ 210
x + 5 3/4 = 7.5
x = 1.75
OR
x = 1 3/4
A movie theater room can hold up to 120 people.
Alex writes the inequality p<120, where p is the number of people in the room.
What is Alex's error?
Alex should have included 120 as a possible choice.
The correct inequality is p ≤ 120.
When Sofia swims at a speed of s meters per second, it takes her t seconds to finish the race.
Identify the independent and dependent variable.
Independent: s (swimming speed)
Dependent: t (time to finish the race)
Alex is making puppets for a show. He bought all the string needed for $125. It costs $18 for the remaining materials to make each puppet. What is the total cost to make 50 puppets?
$1,025
Solve for x:
3/8 x = 3 3/8
x = 9