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Section 5.2 Worksheets

PDF Version of these Worksheets

Worksheet Worksheet 1
A4US

1.

Determine the value of the expression \(3p + 5q\) when \(p = -2\) and \(q = -1\text{.}\) Show the calculation and write your result as an if-then statement.

2.

Substitute \(b = 3a - 5\) into the expression \(2b + 3\) and simplify the result. Use a complete presentation.

3.

Check the presentation for errors. If you find one, circle it and describe the mistake in words.

\begin{equation*} \begin{aligned} -x + 5 \amp = -y + 3 + 5 \amp \eqnspacer \amp \text{Substitute $x = y + 3$} \\ \amp = -y + 8 \amp \amp \text{Arithmetic} \end{aligned} \end{equation*}

Worksheet Worksheet 2
A4US

1.

Determine the value of the expression \(4a - 3b\) when \(a = -3\) and \(b = 4\text{.}\) Show the calculation and write your result as an if-then statement.

2.

Substitute \(n = -2m + 1\) into the expression \(-n + 2\) and simplify the result. Use a complete presentation.

3.

Substitute \(y = 2x - 3\) into the expression \(2x + 3y\) and simplify the result. Use a complete presentation.

Worksheet Worksheet 3
A4US

1.

Determine the value of the expression \(x - y^2\) when \(x = 2\) and \(y = -3\text{.}\) Show the calculation and write your result as an if-then statement.

2.

Solve the equation \(-3a + 4b - 7 = 5\) for when \(b = -2\text{.}\) Use a complete presentation.

3.

Check the presentation for errors. If you find one, circle it and describe the mistake in words.

\begin{equation*} \begin{aligned} -3p + 4q \amp = 5 \\ -3(q - 4) + 4q \amp = 5 \amp \eqnspacer \amp \text{Substitute $p = q - 4$} \\ -3q - 12 + 4q \amp = 5 \amp \amp \text{Distributive property} \\ q - 12 \amp = 5 \amp \amp \text{Combine like terms} \\ q \amp = 17 \amp \amp \text{Add 12 to both sides} \end{aligned} \end{equation*}

Worksheet Worksheet 4
A4US

1.

Substitute \(s = -2t + 1\) into the equation \(2s + 1 = 4\) and solve for the variable. Use a complete presentation.

2.

Solve the equation \(3m - 2n - 7 = 5\) for when \(m = 4n - 3\text{.}\) Use a complete presentation.

3.

Substitute \(x = 3\) into the expression \(x^2 - 6x + 9\) and simplify the result. Use a complete presentation.

Worksheet Worksheet 5
A4US

1.

Check the presentation for errors. If you find one, circle it and describe the mistake in words.

\begin{equation*} \begin{aligned} 5x - y \amp = 4 \\ 5x - (3x + 4) \amp = 4 \amp \eqnspacer \amp \text{Substitute $y = 3x - 2$} \\ 5x - 3x - 4 \amp = 4 \amp \amp \text{Distributive property} \\ 2x - 4 \amp = 4 \amp \amp \text{Combine like terms} \\ 2x \amp = 0 \amp \amp \text{Subtract $4$ from both sides} \\ x \amp = 0 \amp \amp \text{Divide both sides by $2$} \end{aligned} \end{equation*}

2.

Substitute \(n = -2m - 3\) into the expression \(-3m - 2n + 5\) and simplify the result. Use a complete presentation.

3.

Solve the equation \(-2a + 3b - 7 = b\) for when \(b = -a + 2\text{.}\) Use a complete presentation.