Substitution in Algebra

Front

What is substitution in algebra?

Back

Substitution in algebra is the process of replacing a variable with a number or another expression to simplify or solve an equation.

Front

How do you evaluate an expression when given a value for a variable?

Back

To evaluate an expression, substitute the given value for the variable into the expression and perform the arithmetic operations.

Front

What is the result of substituting x=5 into the expression 7x-1?

Back

The result is 34.

Front

If s = 3 and t = 9, how do you calculate 2t - 3s?

Back

Substitute the values into the expression: 2(9) - 3(3) = 18 - 9 = 9.

Front

What is the simplified form of the expression 5a + 2b + 3a + 4b?

Back

The simplified form is 8a + 6b.

Front

How do you find the value of an expression with multiple variables, such as 2x - z, when x = 3, y = 6, and z = 7?

Back

Substitute the values into the expression: 2(3) - 7 = 6 - 7 = -1.

Front

What is the product of 5c and 2c?

Back

The product is 10c^2.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to distribute a factor across a sum.

Front

How do you combine like terms in an algebraic expression?

Back

Combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations.