MathematicsGrade 8en

📝 Linear Equations & Algebra

Master solving multi-step linear equations with variables on one or both sides. This quiz covers solving techniques, checking solutions, translating word problems into equations, and working with rational coefficients—all essential skills for Grade 8 algebra success. **What you'll learn:** - Solve multi-step equations using inverse operations - Rearrange equations with variables on both sides - Check solutions by substitution - Translate real-world problems into algebraic equations - Work confidently with fractions and decimals in equations

17 questions · play in your browser

No signup required — try it for free.

Questions in this quiz

Answers hidden — play to find out.

Question 1
Solve for $x$ : $2x + 5 = 13$
Question 2
Solve for $y$ : $3y - 7 = 2y + 4$
Question 3
Solve for $x$ : $\frac{x}{2} + 3 = 8$
Question 4
If $x = 3$ , then $4x - 5 = 7$ .
Question 5
Which value of $m$ satisfies $5m + 2 = 3m + 10$ ?
Question 6
Solve for $a$ : $2(a + 3) = 16$
Question 7
Translate this statement into an equation: 'Seven more than twice a number is 25.'
Question 8
When solving $x + 5 = 12$ , the first step should be to add 5 to both sides.
Question 9
Solve for $x$ : $4x - 6 = 2x + 8$
Question 10
What is the solution to $\frac{x - 1}{3} = 2$ ?
Question 11
A number decreased by 8 equals 15. Write the equation that represents this situation.
Question 12
The solution to $3x = 12$ is $x = 4$ .
Question 13
Solve for $b$ : $6b + 1 = 4b + 9$
Question 14
Solve: $5(x - 2) = 20$
Question 15
If Raj buys 3 identical notebooks and has $2 left from a$ 20 bill, which equation finds the price $p$ of each notebook?
Question 16
To check if $x = 2$ is the solution to $3x + 4 = 10$ , we substitute 2 for $x$ and verify both sides are equal.
Question 17
Solve for $x$ : $\frac{2x}{3} = 8$