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Quizzes > High School Quizzes > Mathematics

Integers PEMDAS Practice Quiz

Enhance learning with interactive worksheet challenges

Difficulty: Moderate
Grade: Grade 6
Study OutcomesCheat Sheet
Colorful paper art promoting Integer PEMDAS Challenge, a helpful tool for middle school math prep.

What is the value of 3 + 4 * 2?
11
10
14
7
According to PEMDAS, multiplication is carried out before addition. Multiplying 4 by 2 gives 8, and adding 3 results in 11.
What is the result of (5 - 2) + 3?
11
8
6
5
First, compute the expression inside the parentheses: 5 - 2 equals 3. Then add 3 to get a total of 6.
Evaluate 8 / 2 + 6.
14
4
10
12
Division is performed before addition, so 8 divided by 2 equals 4. Adding 6 to 4 results in 10.
Compute 3 - (2 + 1).
2
1
0
-3
The expression in the parentheses is calculated first: 2 + 1 equals 3. Then, 3 minus 3 gives 0.
What is the result of (-4) + 7?
3
7
11
-3
Adding a negative number is equivalent to subtraction. Hence, (-4) + 7 equals 7 - 4, which is 3.
What is the result of 3 * (-2) + 8?
8
6
-2
2
Multiplication comes before addition. Multiply 3 by -2 to get -6 and then add 8, which results in 2.
Evaluate (-3 + 5) * (2 - 6).
8
-2
2
-8
First, calculate each set of parentheses: (-3 + 5) equals 2 and (2 - 6) equals -4. Multiplying these gives 2 * -4 = -8.
Compute 12 / (-3) - 4.
0
8
-8
4
Division comes before subtraction. Divide 12 by -3 to get -4, then subtract 4, resulting in -8.
Evaluate (-2)^2 + 3.
-1
7
5
1
Squaring -2 gives 4 since (-2)^2 equals 4. Adding 3 to 4 results in 7.
Solve 7 - 3 * 2 + 4.
2
3
8
5
Using PEMDAS, multiplication is performed before addition and subtraction. Compute 3 * 2 to get 6; then 7 - 6 + 4 results in 5.
Evaluate (10 - 3) * 2 - 4 / 2.
8
16
14
12
Perform the calculation inside the parentheses first: 10 - 3 equals 7. Then multiply 7 by 2 to get 14, and calculate 4 / 2 to get 2; finally, subtract 2 from 14 to obtain 12.
Compute -3 * 2 - (-4 + 6).
-8
8
2
-12
First, multiply -3 by 2 to get -6. Then, inside the parentheses, -4 + 6 equals 2. Subtracting 2 from -6 gives -8.
Evaluate 8 - 2 * (-3) + 1.
15
13
11
9
Multiplication is done before addition and subtraction. Multiply 2 by -3 to get -6, so the expression transforms into 8 - (-6) + 1 which simplifies to 8 + 6 + 1, equaling 15.
What is the result of (-6) / 2 + 3?
3
1
0
-1
Divide -6 by 2 to get -3 and then add 3, resulting in 0. This follows the correct order of operations.
Evaluate 5 + (-2) * 3 + 4.
5
-3
1
3
Multiply -2 by 3 to get -6. Then, adding 5 and 4 yields 9, and finally, 9 plus (-6) gives 3.
Evaluate -(3 - (-2))^2 + 10.
-15
15
5
25
First, simplify inside the parentheses: 3 - (-2) equals 5. Squaring 5 gives 25, and applying the negative sign results in -25; adding 10 results in -15.
Solve [4 - (-3 + 2)] * (-2) + 7.
-7
-3
10
3
Begin by evaluating the inner parentheses: -3 + 2 equals -1. Then, 4 - (-1) becomes 5. Multiplying 5 by -2 yields -10, and adding 7 results in -3.
Evaluate 6 / [-2 + (-4)] * (-3) - 1.
0
2
-2
1
Sum the values in the denominator: -2 + (-4) equals -6, so 6 divided by -6 gives -1. Multiplying -1 by -3 yields 3, and subtracting 1 results in 2.
Evaluate (-2 + 3 * (-4))^2 - 5.
181
191
189
196
Apply multiplication first: 3 * (-4) equals -12. Then, adding -2 gives -14. Squaring -14 produces 196, and subtracting 5 leaves 191.
Evaluate [(-3)^2 - 4 * (-4)] / (-5 + 10).
4
10
5
0
First, compute the numerator: (-3)^2 is 9 and -4 multiplied by -4 is 16, so adding these gives 25. The denominator (-5 + 10) equals 5, and dividing 25 by 5 results in 5.
0
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Study Outcomes

  1. Apply the order of operations to evaluate integer expressions accurately.
  2. Analyze multi-step arithmetic problems involving negative and positive integers.
  3. Simplify complex expressions by correctly implementing PEMDAS rules.
  4. Identify and correct common errors in the manipulation of integer operations.
  5. Verify the accuracy of computed results in multi-step integer problems.

Integers PEMDAS Worksheet Cheat Sheet

  1. Master PEMDAS Magic - Understand that PEMDAS stands for Parentheses, Exponents, Multiplication & Division (left to right), Addition & Subtraction (left to right). This secret formula guarantees accurate answers every time, even in wild equations like 3 + 6 × (5 + 4)². Keep this order in mind and you'll conquer any math puzzle! Learn more
  2. twinkl.com
  3. Parentheses Priority - Always tackle operations inside parentheses first to unravel the hidden parts of an equation. For example, in 8 × (4 + 2), calculate 4 + 2 to get 6, then multiply by 8 to land on 48. It's like opening a treasure chest before exploring the rest of the map! Learn more
  4. twinkl.com
  5. Exponents Power-Up - After parentheses, handle any exponents to boost your numbers to the next level. In 5 + 2², squaring 2 gives you 4, then adding 5 brings the grand total to 9. Think of exponents as the secret sauce that amps up your math! Learn more
  6. twinkl.com
  7. The Multiplication‑Division Duel - Multiplication and division share the same rank, so tackle them from left to right. In 10 ÷ 2 × 3, you divide 10 by 2 to get 5, then multiply by 3 to reach 15. It's a friendly face‑off: whichever comes first wins! Learn more
  8. chilimath.com
  9. The Addition‑Subtraction Showdown - Addition and subtraction are also equals in rank; work left to right. For instance, 20 - 5 + 3 means take 5 from 20 to get 15, then add 3 for a final of 18. Remember: left-to-right is your guiding star here! Learn more
  10. chilimath.com
  11. Negative Number Ninja Moves - Watch out when negatives meet powers and parentheses. For example, (-3)² is (-3)×(-3)=9, but -3² is -(3×3)= -9. Knowing this trick keeps you from accidental sign slip-ups! Learn more
  12. mathgoodies.com
  13. Mnemonic Mayhem - Use "Please Excuse My Dear Aunt Sally" to lock in the order: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Turning rules into catchy phrases makes them stick in your brain. Sing it, chant it or doodle it - whatever helps you remember! Learn more
  14. twinkl.com
  15. Integer Gymnastics - Practice problems with both positive and negative values to build confidence. Jump through exercises like -4 + 7 × 2 or ( - 5)³ to master the full order of operations. The more you practice, the more fearless you become! Learn more
  16. mathgoodies.com
  17. Left‑to‑Right Rule - Whenever operations share the same rank, always read and calculate from left to right. This golden rule applies to both multiplication/division and addition/subtraction duels. Keeping a keen eye on direction prevents calculation chaos! Learn more
  18. chilimath.com
  19. Double‑Check Your Work - Always review each step to catch sneaky mistakes, especially with negative signs and order slip-ups. A second look can transform a near-miss into a perfect score. Your brain loves accuracy - give it the chance to shine! Learn more
  20. mathgoodies.com
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