Unit 3 Advanced Worksheet

Algebraic Thinking - 20 Challenging Questions

Basic Level

Unit 3: Algebraic Thinking - 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

Multiple Choice

Write: '7 less than twice a number'

Question 2

Fill In Blank

If x = 4, what is 3x + 7? ___

💡 Hint

Multiply first, then add

Question 3

Multiple Choice

Solve: 2x + 3 = 11

Question 4

Fill In Blank

Solve: 3n - 5 = 10. n = ___

💡 Hint

Two-step solving

Question 5

Multiple Choice

Write: 'The sum of 6 and a number, times 4'

Question 6

Fill In Blank

If x = 7, what is (x + 3) × 2? ___

💡 Hint

Do parentheses first

Question 7

Multiple Choice

Solve: 5m + 2 = 17

Question 8

Word Problem

You buy n notebooks at $3 each and a bag for $2. Total is $14. n = ___

💡 Hint

Set up equation first

Question 9

Multiple Choice

Complete: 1, 2, 4, 7, 11, ___

Question 10

Fill In Blank

Solve: 4y - 8 = 12. y = ___

💡 Hint

Reverse both operations

Question 11

Multiple Choice

If w = 5 and z = 3, what is 2w + 3z?

Question 12

Fill In Blank

Write: '3 more than the product of 5 and a number'

💡 Hint

Product means multiply

Question 13

Multiple Choice

Solve: 6p + 4 = 22

Question 14

Word Problem

A cab charges $5 plus $2 per mile. You paid $15. Miles? ___

💡 Hint

Set up the equation

Question 15

Multiple Choice

Complete: 5, 10, 20, 40, ___

Question 16

Fill In Blank

Solve: 7t + 5 = 26. t = ___

💡 Hint

Two steps needed

Question 17

Multiple Choice

If c = 12, what is c ÷ 3 × 2?

Question 18

Fill In Blank

Write: 'Half of a number, increased by 10'

💡 Hint

Half means divide by 2

Question 19

Multiple Choice

Solve: 3w - 12 = 6

Question 20

Word Problem

A baker makes 5 cookies on day 1, 10 on day 2, 15 on day 3. Day 6? ___

💡 Hint

Find the pattern rule

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