Exercises: Solving Equations

Solve each equation and check your answer by substituting it back in, unless a shortcut method is asked for.

Grade 7·18 problems·~27 min·Uganda NCDC Primary 7 Mathematics·lesson·algebra-03

Work through problems with immediate feedback

Recall / Warm-Up

Review the inverse operation needed to undo each step.

What operation undoes adding $7$ to a number?

Adding $7$

Subtracting $7$

Dividing by $7$

What operation undoes multiplying a number by $3$ ?

Solve for $x$ : $x + 9 = 14$ .

Solve for $x$ : $4x = 28$ .

Solve for $x$ : $2x + 3 = 11$ .

Solve for $x$ : $3x - 5 = 16$ .

Solve for $x$ : $5x = 2x + 9$ .

What must you do first to solve $2(x + 5) = 18$ ?

Expand the bracket: $2x + 10 = 18$

Divide both sides by $2$ before expanding, since the bracket is multiplied by $2$

Subtract $5$ from both sides immediately, since $5$ is inside the bracket

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