Multiplying Equations Worksheet
Grade 12 math worksheet focusing on multiplying equations, including systems of equations and polynomial multiplication.
Includes
Standards
Multiplying Equations
Name:
Date:
Score:
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
Multiply Equation 1 by 2
Multiply Equation 2 by 2
Multiply Equation 1 by -1
Multiply Equation 2 by -3
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).
True
False
b) When multiplying an inequality by a negative number, the inequality sign must be reversed.
True
False