Expressions and equations

Practice sheet

Fresh questions from the whole chapter, to do on paper.

To save a PDF, choose “Save as PDF” in the print dialog.

  1. Solve x+10=37x + 10 = 37. x=  ?x = \;?
  2. Solve 11x=7711x = 77. x=  ?x = \;?
  3. Solve x3=7\dfrac{x}{ 3 } = 7. x=  ?x = \;?
  4. Solve 8x+5<458x + 5 < 45. Give the solution set as an interval.
  5. Solve −2x+17≤9-2x + 17 \le 9. Give the solution set as an interval.
  6. You have 109 dollars and tickets cost 9 dollars each. Solve 9t≤1099t \le 109: what is the greatest number of tickets you can buy?
  7. Write 7(x−3)7(x - 3) without parentheses. What is the constant term?
  8. Combine like terms in 9x+6−11x+49x + 6 - 11x + 4. What is the coefficient of xx?
  9. Simplify 6x−(5x−2)6x - (5x - 2). What is the constant term?
  10. Evaluate 1+2⋅321 + 2 \cdot 3^2.
  11. Evaluate 4x24x^2 when x=8x = 8.
  12. What is the value of 646^{ 4 }?