Simplify expressions: distribute and combine like terms
Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Kira's hardest card has a bracket inside a bracket: 3[2(x + 4) − x]. How would Kira write it with as few terms as possible?
Luz's hardest card has a bracket inside a bracket: −2[4(x − 2) + x]. How would Luz write it with as few terms as possible?
Milo's hardest card has a bracket inside a bracket: 4[2(x + 3) + 2x]. How would Milo write it with as few terms as possible?
Pia's quilt is a rectangle 3x − 1 units long and x + 4 units wide. What is its perimeter, as an expression with as few terms as possible?
Ren's window is a rectangle 1.5x + 2 units long and 2x − 0.5 units wide. What is its perimeter, as an expression with as few terms as possible?
Tala's door is a rectangle 4x + 1 units long and 2x − 3 units wide. What is its perimeter, as an expression with as few terms as possible?
Zee wants 3(x − ?) − x to equal 2x − 12 for every x. What number goes in the box marked ?
Ari wants 4(x − ?) + 2x to equal 6x − 20 for every x. What number goes in the box marked ?
Bo wants 5(x − ?) − x to equal 4x − 15 for every x. What number goes in the box marked ?
Esme wants 2(x − ?) + 3x to equal 5x − 14 for every x. What number goes in the box marked ?