A Quiz About Math

In the given inequality 2x - 1 > 7, the goal is to solve for x. To isolate x, we first add 1 to both sides of the inequality, which gives 2x > 8. Then, we divide both sides by 2 to get x > 4. This means that x can take any value greater than 4. Since x cannot be equal to 2, the statement "x can never be equal to 2" is true.

To find the number, we can set up an equation based on the information given. Let's call the number "x". The sum of the number and 7 is equal to 33, so we can write the equation as x + 7 = 33. To solve for x, we can subtract 7 from both sides of the equation. This gives us x = 33 - 7, which simplifies to x = 26. Therefore, the number is 26.

The equation 2x = 3 can be solved by dividing both sides of the equation by 2. This gives us x = 3/2, which is equivalent to 1.5. Therefore, the answer is 1.5.

To solve the equation x - 1 = 3, we need to isolate the variable x. To do this, we can add 1 to both sides of the equation. This will cancel out the -1 on the left side, leaving us with x = 4. Therefore, the value of x is 4.

Jolibee is currently X years old. Two years from now, he will be X + 2 years old.

This is an example of addition of similar algebraic fractions. To add this type fractions, simply copy the denominator and add the numerators. See examples from the book and video.

Review
Two basic properties of addition:

Commutative property – terms may be switched but it won’t affect its value.

Illustration:
apple + banana = banana + apple
A + B = B + A
Associative property – Changing terms in a grouping is a change in association.


Illustration:
(Lyca + John) + Trish = (Lyca + Trish) + John
(L + J) + T = (L + T) + J

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Use the formula: Area = Length x Width
Given:
Area = 50
Length = 5
Width = X + 2

injecting all values into the formula...
A = L * W
50 = 5 (X + 2)

then solve...

50 = 5x + 10

50 - 10 = 5x + 10 - 10

40 = 5x

40/5 = 5x/5

8 = x
or
x = 8

Please see explanation in the book... lesson 3-2

Pattern
Y = ax + b

b = labor cost which is constant per day
a = number of tile which may change depending on how many are used...
Y is the P or the total cost per day..cause it depends on the number of tiles used in a day.
X is the T which independent variable...

*Models of addition

Two models
Putting-together model – putting two or more things together is the same as adding.

Put 2 apples and 3 apples in one.
2 Apples + 3 Apples = 5 Apples
Slide-model- increase in distance or scale on a plane is also addition
My body temperature rose 4 degrees up.
Body temp + 4 degrees

Steps:
Step 1: distribute to remove parenthesis
Step 2: switch all similar terms right next to each other.
Step 3: add similar terms.
Note: we can’t add 3x and 4. 3x has a variable while does not.

Tracing Misconception!
if you answered A:
you need to distribute 3 and -2 to all its corresponding terms inside each pair of parentheses "()"

if you answered c:
you probably forgot to include the sign of 2 in distributing.

if you answered d:
you probably added x + 12. Remember that they are dissimilar terms.

for more info: check video on 3 - 9

Moving all the points 3 units to the left and 1 unit up would result in the new coordinates for point B being (-1, 0). This means that the image of point B would be located on the X-axis.

remember

ax + b ....expression
y = ax + b ... equation

a is the increase of the number of circles... and b is the constant circle or the first instance minus the 'a'.