Complete the table below to show the differences between algebraic
expression and equation.
Describe each to show their differences.
Give 3 examples of each.
Answer:
Explained below with examples
Step-by-step explanation:
1. Algebraic expression in mathematics are basically expressions that are formed from variables, integer constants, and also algebraic operations.
Examples include;
>> 2x² − xy
>> 3ab + 2b²
>> x² + y²
2. An algebraic equation is a phrase where the two sides of the equation which are the left and right hand sides are connected by the equal to sign (=).
Examples are;
>> 3y - y² = 2y² + 2
>> 3x - 4y = x + 2
>> 5a + 3b = 2b - 1
One equation that represents this statement above me could be: <span>4r + 3 (10-r) = 37.
</span>How? R = Rollercoaster - B = Boat Rides
r + b = 10
37 tickets were spent so..
4*r + 3*b = 37
We just multiplied the number of rides on roller coasters and the boats with the price of both.
Now we have to express boat rides from the first equation:
b = 10-r, and express that in the second equation, now we get:
4r + 3(10-r) = 37, which is the answer.
Answer:
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees. This means that
Angle A + Angle B + Angle C = 180 degrees
Looking at the triangle,
Angle A = (15x + 10) degrees
Angle B = (15x - 10) degrees
Angle C = (3x + 15) degrees
Therefore,
15x + 10 + 15x - 10 + 3x + 15 = 180
15x + 15x + 3x + 10 - 10 + 15 = 180
33x + 15 = 180
Subtracting 15 from the left hand side and the right hand side of the equation, it becomes
33x + 15 - 15 = 180 - 15
33x = 165
Dividing the left hand side and the right hand side of the equation by 33, it becomes
33x/33 = 165/33
x = 5
Angle A = 15 × 5 + 10 = 85 degrees
400
Explanation:
1/3 of 600 is 200. That represents the boys.
Subtract 200 from 600, you get 400. That represents everybody else in the sample size (in this case, girls).
Answer:
(-4, -2)
Step-by-step explanation:
The x-coordinate would stay the same, but the y-coordinate would be halved. Thus, the corresponding point would be (-4, -2).
