Multiplying Equations Worksheet

Multiplying Equations

Read each question carefully and solve for the unknown variable. Show all your work.

1. Multiply the following expressions using the distributive property:

a) 3(x + 5)

b) -2(4y - 7)

c) x(x^2 - 3x + 1)

2. Complete the following multiplications of binomials. Fill in the blanks with the correct terms.

a) (x + 2)(x + 3) = x² +   + 6

b) (y - 4)(y + 1) = y²   - 4

c) (2a + 1)(a - 5) = 2a²   - 5

3. Solve the following equations for the given variable. Show all steps.

a) 4(x - 3) = 20

b) -5(2y + 1) = 15

4. Which of the following is equivalent to (x - 6)(x + 6)?

5. A rectangular garden has a length that is 5 feet more than its width. If the width is 'w' feet, write an expression for the area of the garden. Then, if the width is 10 feet, find the area.