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Instructions

Complete each section of the worksheet to practice your math skills. Show your work and double-check your answers!

Section 1: Algebraic Expressions

Simplify the following expressions:

  1. 3x + 5x - 4 =
  2. 7y - 2y + 3 =
  3. 4(2a + 3) - 5 =

Section 2: Solving Equations

Solve for x in the following equations:

  1. 2x + 3 = 11
    x =
  2. 5x - 7 = 3
    x =
  3. 3(x + 4) = 21
    x =

Section 3: Word Problems

Read the problem and write your solution:

  1. A rectangle has a length that is 4 times its width. If the perimeter is 100 cm, what are the dimensions of the rectangle?
    Width = cm, Length = cm
  2. Maria is three times as old as her brother. In 5 years, the sum of their ages will be 50. How old are they now?
    Maria's age = , Brother's age =

Section 4: Geometry

Find the area and perimeter of the triangle with a base of 10 cm and a height of 5 cm:

Area =

Perimeter (if the other two sides are 8 cm and 6 cm) =

Bonus Challenge:

Can you find the value of x in the following equation? What method did you use?

4(x - 1) = 2x + 6
x =
Method Used:

Reflection:

What section did you find most challenging and why?
Your response:

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