Simplify expressions: distribute and combine like terms
Grade 8 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Jun's hardest card has a bracket inside a bracket: 2[3(x − 1) + x]. How would Jun write it with as few terms as possible?
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?
Noah's rug is a rectangle 2x + 3 units long and x − 1.5 units wide. What is its perimeter, as an expression 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 ?
Esme wants 2(x − ?) + 3x to equal 5x − 14 for every x. What number goes in the box marked ?