MathematicsGrade 8en

🧮 Algebraic Expressions & Equations

Master the fundamentals of algebraic manipulation and equation solving. This quiz covers simplifying algebraic expressions using like terms and the distributive property, solving one-, two-, and multi-step linear equations with fractions and decimals, verifying solutions, and translating real-world word problems into algebraic equations. **What you'll learn:** - Combine like terms and apply the distributive property correctly - Solve linear equations with one, two, or multiple steps - Work with fractions and decimals in algebraic equations - Verify that solutions are correct - Translate word problems into mathematical equations

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Questions in this quiz

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Question 1
Simplify the expression $3x + 5 - 2x + 7$ .
Question 2
Use the distributive property to expand $4(2x - 3)$ .
Question 3
Solve the equation $x + 9 = 15$ .
Question 4
The expression $2x + 3x$ simplifies to $5x$ .
Question 5
Solve the two-step equation $2x + 5 = 13$ .
Question 6
Simplify $6a + 2b - 3a + 4b$ .
Question 7
Expand and simplify $3(x + 4) - 2x$ .
Question 8
Solve $3x - 7 = 14$ .
Question 9
The solution $x = 5$ satisfies the equation $2x + 3 = 13$ .
Question 10
Solve the equation with fractions: $\frac{x}{2} + 3 = 7$ .
Question 11
Solve $0.5x + 2 = 5$ .
Question 12
Translate to an equation: 'A number increased by 8 equals 15.' Let $n$ be the number.
Question 13
Translate to an equation: 'Three times a number is 21.' Let $n$ be the number.
Question 14
Solve the multi-step equation $2(x + 3) = 16$ .
Question 15
When simplifying $-2(x - 4)$ , the result is $-2x + 8$ .
Question 16
Solve $\frac{3x}{2} - 1 = 5$ .
Question 17
Translate and solve: 'Five more than twice a number is 19.' Let $n$ be the number. What is $n$ ?