Equivalent Algebraic Expressions: math test, Grade 7 – download the PDF

1 Combine like terms / 4 pts

Simplify.

1. \(8x + 5x - 3\)
2. \(7a - 4 + 2a + 9\)
3. \(6m - 9n - 2m + 5n\)
4. \(1.5y + 3 - 0.5y - 1\)

2 Expand and simplify / 4 pts

Expand and simplify.

1. \(4(x + 6)\)
2. \(-2(3y - 5)\)
3. \(3(2a + 1) + 4a\)
4. \(5(m + 2) - 3(m - 4)\)

3 Factor / 3 pts

Factor out the greatest common factor.

1. \(15x + 20\)
2. \(12y - 18\)
3. \(8a + 12b - 4\)

4 Add and subtract / 3 pts

Simplify.

1. \((6x - 5) + (3x + 9)\)
2. \((7y + 2) - (4y - 6)\)
3. \((2a + 5) - (5a - 1)\)

5 Are they equivalent? / 3 pts

1. Simplify \(3(x + 2) - x\) and decide whether it is equivalent to \(2x + 6\).
2. Evaluate both expressions at \(x = 4\).

6 Rectangular garden / 3 pts

A garden is 6 feet wide and \(x + 4\) feet long.

1. Write the area as an expanded expression.
2. Write the perimeter in simplest form.
3. Find the area and perimeter when \(x = 9\).