1.make up 10 different algebraic expressions 5 of them will have a single variable & 5 will have multiple variables
2.identify the
- variables
- coefficients
- constants
3.pick values for your variables and tell my what your expressions is worth
1.make up 10 different algebraic expressions 5 of them will have a single variable & 5 will have multiple variables
1. Algebraic expressions with a single variable:
a) 3x + 2
In this expression, the variable is x.
b) 4x^2 + 5x - 10
In this expression, the variable is x.
c) 2x - 3
In this expression, the variable is x.
d) x^2 - 7x + 12
In this expression, the variable is x.
e) 5x + 1/x
In this expression, the variable is x.
2. Algebraic expressions with multiple variables:
a) 3x + 2y
In this expression, the variables are x and y.
b) 4xy^2 - 5x^2
In this expression, the variables are x and y.
c) x^2 + y - z
In this expression, the variables are x, y, and z.
d) xy + 2xz - yz
In this expression, the variables are x, y, and z.
e) x^2 + y^2 + z^2 - xy - xz - yz
In this expression, the variables are x, y, and z.
3. To determine the variables, coefficients, and constants in the given expressions:
a) 3x + 2
- The variable is x.
- The coefficient of x is 3.
- There are no constants in this expression.
b) 4x^2 + 5x - 10
- The variable is x.
- The coefficients are 4, 5, and -10 for x^2, x, and the constant term, respectively.
- The constant term is -10.
c) 2x - 3
- The variable is x.
- The coefficient of x is 2.
- The constant term is -3.
d) x^2 - 7x + 12
- The variable is x.
- The coefficients are 1, -7, and 12 for x^2, x, and the constant term, respectively.
- The constant term is 12.
e) 5x + 1/x
- The variable is x.
- The coefficients are 5 and 1 for x and 1/x, respectively.
- There are no constants in this expression.
4. To determine the value of the expressions for given values of the variables, we need to assign specific values to the variables. Let's assume:
- x = 3
- y = 2
- z = -1
Now, we can evaluate the expressions:
a) For 3x + 2:
If x = 3,
3(3) + 2 = 9 + 2 = 11
b) For 4x^2 + 5x - 10:
If x = 3,
4(3^2) + 5(3) - 10 = 4(9) + 15 - 10 = 36 + 15 - 10 = 41
c) For 2x - 3:
If x = 3,
2(3) - 3 = 6 - 3 = 3
d) For x^2 - 7x + 12:
If x = 3,
3^2 - 7(3) + 12 = 9 - 21 + 12 = 0
e) For 5x + 1/x:
If x = 3,
5(3) + 1/3 = 15 + 1/3 = 45/3 + 1/3 = 46/3