1. 5h - 9 = -16 + 6h
4
7
-7
10***
2. 4x + 4 = 9x - 13
-8
-7
8
-3
3. Which of the following equations has an infinite number of solutions?
3x - 3 = -4x
2y + 4 - y = 16
7x + 5 = 4x + 5 + 3x ***
6y - 2 = 2(y - 1)
6. q - 12 ≥ -13
q ≥ 1
q ≥ -1
q ≥ 25
q ≥ -25
7. 12p < 96
p < 8
p < 108
p < 84
P < -8 (?)
So for ^this problem, wouldn't it be -8? I feel like it's a trick question because it's too easy.
8. g over -5 < -8
g < -23
g > -90
g > 90
g < 90
10. You have $59.95 in your wallet and you want to buy some new CD's. If the CD's are $11.99 each, how may CD's, X, can you buy? Write and solve an inequality.
I have very little knowledge on how to do these problems. I've looked back through the lessons, I've looked up videos online, I can't figure it out. I'm in online school so I can't just ask the teacher, the lesson is already overdue and if I were to email her, it's the end of the year when she's the busiest, so it would take a very long time for her to get back to me.
If I get a 90% or higher, my grade will go up and I'll be one step closer to getting into my dream school, so please help?
3 is correct.
Study these sites carefully to learn how to do these problems.
http://www.khanacademy.org/math
http://www.mathsisfun.com/
1. Subtract 5h from both sides and add 16 to both sides.
2.Add 13 and subtract 4x from both sides. Looks like there is a typo somewhere.
3. Don't know.
6. Add 12 to both sides.
7. Divide both sides by 12.
8. When multiplying/dividing inequalities by a negative number, the sign is reversed.
8. g/-5 < -8
Multiply by -5. Typos?
10. $11.99x ≤ $59.95
Solve for x.
1. To solve the equation 5h - 9 = -16 + 6h, you need to isolate the variable h on one side of the equation.
Start by moving all terms with h to one side and numbers to the other side.
5h - 6h = -16 + 9
Simplify the equation:
-h = -7
To solve for h, multiply both sides of the equation by -1 to get the value of h.
h = 7
Therefore, the correct answer is 7.
2. To solve the equation 4x + 4 = 9x - 13, you need to isolate the variable x on one side of the equation.
Start by moving all terms with x to one side and numbers to the other side.
4x - 9x = -13 - 4
Simplify the equation:
-5x = -17
To solve for x, divide both sides of the equation by -5.
x = 17/5
Therefore, the correct answer is approximately 3.4.
3. To determine which equation has an infinite number of solutions, you need to find the equation where the variable can be eliminated and the resulting statement is always true.
Let's examine the equations:
a) 3x - 3 = -4x
To solve for x, bring all terms with x to one side and numbers to the other side:
3x + 4x = 3
7x = 3
x = 3/7
b) 2y + 4 - y = 16
Combine like terms:
y + 4 = 16
Subtract 4 from both sides:
y = 12
c) 7x + 5 = 4x + 5 + 3x
Simplify the equation:
7x + 5 = 7x + 5
Subtract 7x from both sides:
0 = 0
d) 6y - 2 = 2(y - 1)
Expand the brackets:
6y - 2 = 2y - 2
Subtract 2y from both sides:
4y - 2 = -2
Add 2 to both sides:
4y = 0
y = 0
The equation 7x + 5 = 4x + 5 + 3x has an infinite number of solutions because both sides of the equation are equal no matter what value x takes. Therefore, the correct answer is the third option.
6. To solve the inequality q - 12 ≥ -13, you need to isolate the variable q on one side of the inequality.
Start by adding 12 to both sides of the inequality:
q - 12 + 12 ≥ -13 + 12
Simplify the inequality:
q ≥ -1
Therefore, the correct answer is q ≥ -1.
7. The inequality 12p < 96 means that 12p is less than 96. To solve for p, divide both sides of the inequality by 12:
(12p)/12 < 96/12
Simplify:
p < 8
Therefore, the correct answer is p < 8.
8. To solve the inequality g/-5 < -8, you need to isolate the variable g on one side of the inequality.
Start by multiplying both sides of the inequality by -5 (while considering that when you multiply or divide both sides of an inequality by a negative number, you need to reverse the inequality sign):
-5(g/-5) > -8(-5)
Simplify:
g > 40
Therefore, the correct answer is g > 40.
10. Let X represent the number of CDs you can buy. Each CD costs $11.99, so the total cost of X CDs can be expressed as 11.99X.
Given that you have $59.95, the inequality for the total cost can be written as:
11.99X ≤ 59.95
To solve for X, divide both sides of the inequality by 11.99:
X ≤ 59.95 / 11.99
Simplify:
X ≤ 5
Therefore, you can buy a maximum of 5 CDs with your available funds.