ORDER OF OPERATIONS INEQUALITIES 6.1 - Work out each expression and compare using >, < or =

Q: Which operations should I handle first when evaluating the expressions?

Use order of operations, giving priority to parentheses first, then multiplication and division, and finally addition and subtraction.

Q: Are the answers included for all 20 questions?

Yes. The worksheet provides an “ANSWERS” section with the final computed values and the correct comparison results for questions 1 through 20.

Oct 22, 2026

Uploaded by Genevieve

Practice sheet for grade-level math inequalities focused on order of operations. Students compute the value of each algebraic expression involving multiplication, division, addition, subtraction, parentheses, and fractions/halves, then choose the correct comparison symbol (> , < or =) between two given expressions. Includes a worked example section and 20 inequality items with corresponding answers, emphasizing correct evaluation order and accurate relational comparison.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

ORDER OF OPERATIONS INEQUALITIES 6.1

, < or =)">Work out each expression and compare (> , < or =)

Example and practice problems (1–20)

Answers

Name Date ORDER OF OPERATIONS INEQUALITIES 6.1 Work out the value of each expression and use the correct symbol >, < or = to compare them. | Example | 4 x (3 + 8) | > | 7 x 8 – 4 x 4 | | --- | --- | --- | --- | | 1) 14 – 2 x 5 + 3 | | | 7 x 3 – 6 x 2 | | 2) 7 x 4 – 2 x 5 | | | 3 x (14 – 2 x 4) | | 3) 8 + 3 x 4 – 5 | | | 40 ÷ (2 + 3) + 6 | | 4) 24 – 7 x (3 + 1) | | | 6 x 8 ÷ 4 – 20 | | 5) 20 ÷ 2 + 3 x 4 | | | 12 + (7 + 8 ÷ 2) | | 6) 15 – 4 x (10 – 6) | | | 24 ÷ (2 x 3)– 5 | | 7) 3 x (16 – 5 x 2) | | | 4 x (21 – 2 x 8) | | 8) (11 + 7) ÷ 3 + 6 | | | 32 + 14 ÷ 7 | | 9) (24 – 32 ) x 2 | | | (42 – 3) x (14 – 12) | | 10) 30 ÷ 5 x 3 + 6 | | | 6 x 23 ÷ (7-4) | | 11) 23 x (9 – 6) | | | 8 x (11 – 2 x 4) | | 12) 4 x (6 – 3) x 5 | | | 13 x (25-3 x 7) | | 13) 8 –(3 + 4 x 2) | | | 40 ÷ (6 + 7 x 2) | | 14) 52 – 2 x (12 – 9) | | | 9 + (14 ÷ (2 + 5)) | | 15) (18 + 12) ÷ 3 x 5 | | | 72 + (15 – 2 x 7) | | 16) ½ x (18-5 x 2) | | | 18 –(11 – 12 ÷ 3) | | 17) 72 – 36 ÷ 2 | | | 2 x 3 x (14 – 10) | | 18) 8 + 20 ÷ 4 + 6 | | | 60 ÷ (12 x 2 – 21) | | 19) 10 –(7 + 3 x 2) | | | 5 x (12 – 9)– 18 | | 20) (60 – 12) ÷ (9 – 3) | | | 62 ÷ (17– 23) | Name Date ORDER OF OPERATIONS INEQUALITIES 6.1 ANSWERS Work out the value of each expression and use the correct symbol >, < or = to compare them. | Example | 4 x (3 + 8) | > | 7 x 8 – 4 x 4 | | --- | --- | --- | --- | | 1) 14 – 2 x 5 + 3 = 14 – 10 + 3 = 7 | | < | 7 x 3 – 6 x 2 = 21 – 12 = 9 | | 2) 7 x 4 – 2 x 5 = 28 – 10 = 18 | | = | 3 x (14 – 2 x 4) = 3 x (14 – 8) = 3 x 6 = 18 | | 3) 8 + 3 x 4 – 5 = 8 + 12 – 5 = 15 | | > | 40 ÷ (2 + 3) + 6 = 40 ÷ 5 + 6 = 8 + 6 = 14 | | 4) 24 – 7 x (3 + 1) = 24 – 7 x 4 = -4 | | > | 6 x 8 ÷ 4 – 20 = 48 ÷ 4 – 20 = 12 – 20 = -8 | | 5) 20 ÷ 2 + 3 x 4 = 10 + 12 = 22 | | < | 12 + (7 + 8 ÷ 2) = 12 + (7 + 4) = 23 | | 6) 15 – 4 x (10 – 6) = 15 – 4 x 4 = -1 | | = | 24 ÷ (2 x 3)– 5 = 24 ÷ 6 – 5 = 4 – 5 = -1 | | 7) 3 x (16 – 5 x 2) = 3 x (16 – 10) = 18 | | < | 4 x (21 – 2 x 8) = 4 x (21 – 16) = 20 | | 8) (11 + 7) ÷ 3 + 6 = 18 ÷ 3 + 6 = 12 | | > | 32 + 14 ÷ 7 = 9 + 2 = 11 | | 9) (24 – 32 ) x 2 = (24 – 9) x 2 = 15 x 2 = 30 | | > | (42 – 3) x (14 – 12) = (16 – 3) x 2 = 26 | | 10) 30 ÷ 5 x 3 + 6 = 6 x 3 + 6 = 18 + 6 = 24 | | > | 6 x 23 ÷ (7-4) = 6 x 8 ÷ 3 = 48 ÷ 3 = 16 | | 11) 23 x (9 – 6) = 8 x 3 = 24 | | = | 8 x (11 – 2 x 4) = 8 x (11 – 8) = 8 x 3 = 24 | | 12) 4 x (6 – 3) x 5 = 4 x 3 x 5 = 60 | | > | 13 x (25-3 x 7) = 13 x (25 – 21) = 52 | | 13) 8 –(3 + 4 x 2) = 8 –(3 + 8) = -3 | | < | 40 ÷ (6 + 7 x 2) = 40 ÷ (6 + 14) = 2 | | 14) 52 – 2 x (12 – 9) = 25 – 2 x (3) = 19 | | > | 9 + (14 ÷ (2 + 5)) = 9 + (14 ÷ 7) = 11 | | 15) (18 + 12) ÷ 3 x 5 = 30 ÷ 3 x 5 = 50 | | = | 72 + (15 – 2 x 7) = 49 + (15 – 14) = 50 | | 16) ½ x (18-5 x 2) = ½ x (8) = 4 | | < | 18 –(11 – 12 ÷ 3) = 18 –(11 – 4) = 11 | | 17) 72 – 36 ÷ 2 = 49 – 18 = 31 | | > | 2 x 3 x (14 – 10) = 2 x 3 x 4 = 24 | | 18) 8 + 20 ÷ 4 + 6 = 8 + 5 + 6 = 19 | | < | 60 ÷ (12 x 2 – 21) = 60 ÷ (24 – 21) = 20 | | 19) 10 –(7 + 3 x 2) = 10 –(7 + 6) = -3 | | = | 5 x (12 – 9)– 18 = 5 x (3)– 18 = -3 | | 20) (60 – 12) ÷ (9 – 3) = 48 ÷ 6 = 8 | | > | 62 ÷ (17– 23) = 36 ÷ (17 – 8) = 4 |

FAQs

What do I need to do for each inequality on the worksheet?

Compute the value of each expression and then use the correct symbol (> , < or =) to compare them.

Which operations should I handle first when evaluating the expressions?

Use order of operations, giving priority to parentheses first, then multiplication and division, and finally addition and subtraction.

Are the answers included for all 20 questions?

Yes. The worksheet provides an “ANSWERS” section with the final computed values and the correct comparison results for questions 1 through 20.

Oct 22, 2026

Uploaded by Genevieve