Unit 3 Basic Worksheet

Algebraic Expressions & Equations - 25 Questions

Basic Level

Unit 3: Algebraic Expressions & Equations - Basic Level

Practice worksheet with interactive questions

25 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

Simplify: 4x + 3x

Question 2

Fill In Blank

Apply distributive property: 3(x + 5) = ___

💡 Hint

Multiply each term inside by 3

Question 3

Word Problem

Solve: 2x + 7 = 15

💡 Hint

Use inverse operations

Question 4

True False

When solving 3x = 12, you divide both sides by 3.

Question 5

Multiple Choice

Solve the proportion: x/4 = 3/2

Question 6

Fill In Blank

Solve: x + 9 = 14. x = ___

💡 Hint

Subtract 9

Question 7

Word Problem

Simplify: 6y - 2y + 4

💡 Hint

Combine like terms

Question 8

True False

The solution to x - 5 = 3 is x = 8.

Question 9

Multiple Choice

Solve: 3x - 4 = 11

Question 10

Fill In Blank

Solve: x > 7. Which value works? ___

💡 Hint

Pick a number larger than 7

Question 11

Word Problem

Apply distributive: 2(3x - 4)

💡 Hint

Multiply each term by 2

Question 12

Multiple Choice

Solve: 2x = 18

Question 13

True False

In the expression 5x + 3, the coefficient of x is 5.

Question 14

Fill In Blank

Solve: 4x + 2 = 3x + 7. x = ___

💡 Hint

Get variables on one side

Question 15

Word Problem

If f(x) = 2x + 3, what is f(5)?

💡 Hint

Substitute 5 for x

Question 16

Multiple Choice

Solve: x/3 = 6

Question 17

True False

When dividing or multiplying an inequality by a negative number, you must flip the inequality sign.

Question 18

Fill In Blank

Simplify: 8m + 2n - 3m + n. ___

💡 Hint

Combine like terms separately

Question 19

Word Problem

Solve the proportion: 3/5 = x/15

💡 Hint

Cross-multiply

Question 20

Multiple Choice

Solve: 2x + 5 < 13

Question 21

Word Problem

Solve: 5(x - 2) = 15

💡 Hint

Distribute or divide first

Question 22

Fill In Blank

For y = 3x, if x = 4, then y = ___

💡 Hint

Multiply 3 by 4

Question 23

True False

The expression 3x + 5 and 5 + 3x are equivalent.

Question 24

Multiple Choice

Solve: x - 7 = 2

Question 25

Word Problem

Simplify: 4(2x + 1) + 3x

💡 Hint

Distribute first, then combine

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