Two-Step Equations Practice Problems with Answers
Hone your skills in solving two-step equations because it will serve as your foundation when solving multi-step equations. I prepared eight (8) two-step equations problems with complete solutions to get you rolling.
My advice is for you to solve them by hand using a pencil or pen and paper. Believe me, you get the most benefit from this exercise by doing it yourself first before looking at the solution set.
If by any chance you get stuck or don’t know what to do next, please feel free to review my other lesson about two-step equations. Click the link below to get there. Enjoy!
1) Solve the two-step equation for [latex]g[/latex].
[latex]2g – 4 = 6[/latex]
Answer
Add both sides by [latex]4[/latex] then divide both sides by [latex]2[/latex].
2) Solve the two-step equation for [latex]x[/latex].
[latex]2x + 15 = – 3x[/latex]
Answer
Subtract both sides by [latex]2x[/latex]. Finally, divide both sides of the equation by [latex]-5[/latex].
3) Solve the two-step equation for [latex]k[/latex].
[latex]{\Large{{k \over 4}}} – 7 = – 5[/latex]
Answer
Add both sides by [latex]7[/latex]; followed by multiplying both sides by [latex]4[/latex].
4) Solve the two-step equation for [latex]m[/latex].
[latex]{\Large{{{m + 9} \over 5}}} = {\large{2}}[/latex]
Answer
Multiply [latex]5[/latex] on both sides then subtract by [latex]9[/latex] on both sides of the equation as well.
5) Solve the equation for [latex]y[/latex].
[latex]0 = – 1 – y[/latex]
Answer
Add [latex]1[/latex] to both sides of the equation. Notice that the coefficient of [latex]-y[/latex] is [latex]-1[/latex]. That means, we should divide both sides by [latex]-1[/latex] to isolate and therefore solve for [latex]y[/latex].
6) Solve the equation for [latex]r[/latex].
[latex] – 3\left( {r – 7} \right) = – 24[/latex]
Answer
First, divide both sides of the equation by [latex]-3[/latex] then add by [latex]7[/latex].
7) Solve the equation for [latex]z[/latex].
[latex]{\Large{5 \over 4}}z + {\Large{3 \over 4}}z = 1[/latex]
Answer
8) Solve the equation for [latex]x[/latex].
[latex]4.25 – 0.25x = 3.75[/latex]
Answer
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