Section 3.2 Worksheets
PDF Version of these Worksheets
Worksheet Worksheet 1
1.
Using the grid below, identify all of the monomials of \(4x^3 - 3x^2 + 6x - 5\text{.}\) Then determine the coefficient and variable part of each term.
2.
Simplify the expression \((5a + 3b) + (8a - 5b)\) using a complete presentation. Show the rearrangement step, the grouping step, and the arithmetic step.
3.
Two students perform the calculation \(6x - 6x\text{.}\) One student claims that the answer is \(x\) while the other claims the answer is 0. Determine which student did the calculation correctly and explain your reasoning using complete sentences. Then explain the error that the other student made.
Worksheet Worksheet 2
1.
Using the grid below, identify all of the monomials of \(3x^3 - 5xyz + xz - 3\text{.}\) Then determine the coefficient and variable part of each term.
2.
Simplify the expression \((7m + 3n) + (5m - 3n)\) using a complete presentation. Show the rearrangement step, the grouping step, and the arithmetic step.
3.
Simplify the expression \((5x + 3) - (2x - 5)\) using a complete presentation. Show the distribution step, the rearrangement step, the grouping step, and the arithmetic step.
Worksheet Worksheet 3
1.
Simplify the expression \((3a + 2b) + 2 (-a + 3b)\) using a complete presentation. Show the distribution step, rearrangement step, the grouping step, and the arithmetic step.
2.
Simplify the expression \((-6x + 4y) - (-6x - 4y)\) using a complete presentation. Show the rearrangement step, the grouping step, and the arithmetic step.
3.
Simplify the expression \((7x - 5) - (3x - 4)\text{.}\)
Worksheet Worksheet 4
1.
Simplify the expression \(2 (4a^2 + 5ab - 3b^2) - (3a^2 - ab + 7b^2)\text{.}\)
2.
Simplify the expression \(3 (x^2 - 4x + 2) - 2 (x^2 - 5)\text{.}\)
3.
Two students perform the calculation \(5x^2 - x^2\text{.}\) One student claims that the answer is \(4x^2\) while the other claims the answer is 5. Determine which student did the calculation correctly and explain your reasoning using complete sentences. Then explain the error that the other student made.
Worksheet Worksheet 5
1.
Simplify the expression \(-2 (3m^2 - 6mn + 4n) + 3(-m^2 + 4mn + 3n)\text{.}\)
2.
Simplify the expression \(3 (x^2 - 5x + 4) - 2(3x^2 - 5x + 6)\text{.}\)
3.
Simplify the expression \(3(t^2 - 6t + 2) - 2(t^2 + 4t) + 3(t - 5)\text{.}\)