Substitution in Algebra

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

• 6a + 5b

• 7a + 5b

• 8a + 6b

• 9a + 6b

How do you combine like terms in an algebraic expression?

• Combine like terms by multiplying the coefficients of terms that have the same variable raised to the same power.

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

• Combine like terms by dividing the coefficients of terms that have different variables.

• Combine like terms by ignoring the coefficients and focusing only on the variables.

What is the difference between an equation and an expression?

• An equation states that two expressions are equal, while an expression does not include an equality sign.

• An expression is a mathematical statement that includes an equality sign, while an equation does not.

• An equation is a type of expression that can only contain numbers, while an expression can contain variables.

• An expression is always equal to zero, while an equation can have any value.

What is an expression in algebra?

• A combination of numbers, variables, and operators that represents a value.

• A single number without any operations.

• A mathematical statement that shows the equality of two expressions.

• A method to solve equations.

If s = 3 and t = 9, what is the value of 2t - 3s?

• 6

• 9

• 12

• 15

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

• 32

• 34

• 30

• 36

A quadratic equation can only be factorisable if the discriminant of the equation is a square number. The discriminant of a quadratic equation @@ax^2+bx+c=0@@ is obtained using the formula @@D=b^2-4ac@@. Is the quadratic equation @@6x^2-x-7=0@@ factorisable?

• Yes, it is factorisable because the discriminant is a square number.

• No, it is not factorisable because the discriminant is negative.

• Yes, it is factorisable because the discriminant is zero.

• No, it is not factorisable because the discriminant is a prime number.

How do you solve for a variable in an equation?

• Isolate the variable on one side of the equation using inverse operations.

• Add the same number to both sides of the equation.

• Multiply both sides of the equation by the variable.

• Subtract the variable from both sides of the equation.

What is the importance of order of operations in algebra?

• It allows for the correct evaluation of expressions and ensures consistent results.

• It simplifies all algebraic expressions to a single number.

• It is only necessary for complex equations, not simple ones.

• It is a guideline that can be ignored in most calculations.

What is the safest approach to take when substituting a negative number or a fraction into an algebraic expression?

• To ensure that the number is enclosed in a pair of brackets before completing the calculation.

• To ignore the negative sign and proceed with the calculation as usual.

• To convert the negative number or fraction into a positive number before substitution.

• To substitute the number directly without any additional steps.