Unit 3 Advanced Worksheet

Algebraic Expressions & Equations - 20 Challenging Questions

Basic Level

Unit 3: Algebraic Expressions & Equations - Advanced Level

Practice worksheet with interactive questions

20 Questions•20-30 minutes

Instructions

Read each question carefully before answering
Take your time to think through each problem
You can change your answers before submitting
Click "Submit Answers" to see your results
Use hints if you need help understanding a question

Question 1

Word Problem

Simplify: 3(2x + 5) - 2(x - 3)

💡 Hint

Distribute both, then combine

Question 2

Multiple Choice

Solve: 3(x - 4) = 2(x + 5)

Question 3

Fill In Blank

Solve: (x+3)/4 = (x-1)/2. x = ___

💡 Hint

Cross-multiply

Question 4

Word Problem

Solve: 5x - 2(x + 3) = 12

💡 Hint

Distribute the negative

Question 5

True False

The expressions 2(3x + 4) and 6x + 8 are equivalent.

Question 6

Multiple Choice

Solve: -3x + 7 ≤ -8

Question 7

Word Problem

If f(x) = 3x - 7, find x when f(x) = 14

💡 Hint

Set up equation and solve

Question 8

Fill In Blank

Simplify: 4x² + 3x - 2x² + 5x. ___

💡 Hint

Combine like terms separately

Question 9

True False

The solution to 2(x - 5) = 2x - 10 is x = 0.

Question 10

Word Problem

Solve: (2x-1)/3 = (x+4)/2

💡 Hint

Cross-multiply first

Question 11

Multiple Choice

Solve: 4x + 3(x - 2) = 15

Question 12

Fill In Blank

Solve: |x - 5| = 8. x = ___ or x = ___

💡 Hint

Absolute value means two solutions

Question 13

Word Problem

Solve: 2(3x + 1) - 5(x - 2) = 22

💡 Hint

Distribute both parentheses

Question 14

True False

The inequality x/(-2) > 4 simplifies to x < -8.

Question 15

Multiple Choice

If f(x) = 2x² + 3, what is f(4)?

Question 16

Word Problem

Solve: 7x - 2(3x - 5) = 4x + 6

💡 Hint

Distribute carefully

Question 17

Fill In Blank

Solve: 3/(x-2) = 6/10. x = ___

💡 Hint

Simplify right side first

Question 18

True False

If 5x - 3 < 2x + 9, then x < 4.

Question 19

Word Problem

Function rule: Output is 5 less than triple the input. If output is 22, what's input?

💡 Hint

Write equation and solve

Question 20

Multiple Choice

Simplify: 2(x + 3y) - 3(2x - y)

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