Multiplying Equations Worksheet

Multiplying Equations

Read each question carefully and follow the instructions to solve the problems. Show all your work for full credit.

1. Multiply the following polynomials:

a) (3x + 2)(x - 5)

b) (2x^2 - x + 3)(x + 4)

2. Fill in the blanks to complete the multiplication of the equations:

a) Multiply the equation 2x + 3y = 7 by 4:

 x +  y =  

b) Multiply the equation -x + 5y = 10 by -3:

 x +  y =  

3. To eliminate 'y' in the following system of equations by multiplication, which would be the best step?

Equation 1: 3x + 2y = 12

Equation 2: 5x - y = 7

4. Solve the following system of equations using the elimination method, which involves multiplying one or both equations:

4x - 3y = 10

x + 5y = -7

5. Determine if the following statements are true or false:

a) Multiplying both sides of an equation by zero always results in a true statement (0 = 0).

b) When multiplying an inequality by a negative number, the inequality sign must be reversed.