Multiplying Equations Worksheet
Grade 10 math worksheet focusing on multiplying equations, including distributive property and solving for variables.
Includes
Standards
Topics
Multiplying Equations
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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)?
x² - 12
x² - 36
x² + 12x + 36
x² - 12x + 36
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.
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