Grade 5 Operations & Algebraic Thinking Practice โ€” Easy

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Question 1 of 26: What is the value of (3 + 5) ร— 2?

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Keep going: Read the lesson: Writing Numerical Expressions PEMDAS Step Solver
Answer key for parents & teachers (26 questions)
  1. What is the value of (3 + 5) ร— 2? โ€” 16. First evaluate the parentheses: 3 + 5 = 8. Then multiply: 8 ร— 2 = 16.
  2. Which symbol represents the innermost grouping in a nested expression? โ€” Parentheses ( ). Parentheses ( ) are the innermost grouping symbols and are evaluated first.
  3. What word problem phrase matches the expression (8 โˆ’ 3) ร— 4? โ€” Multiply the difference of 8 and 3 by 4. "Difference of 8 and 3" = (8 โˆ’ 3). "Multiply by 4" gives (8 โˆ’ 3) ร— 4.
  4. What does the word "product" indicate in a word problem? โ€” Multiplication. "Product" is the result of multiplication, so it signals a ร— operation.
  5. Evaluate: { [ (4 + 1) ร— 2 ] + 3 } โ€” 13. Innermost: (4+1)=5. Next: [5ร—2]=10. Outermost: {10+3}=13.
  6. Which expression equals "the sum of 9 and 3"? โ€” 9 + 3. "Sum" means addition, so the sum of 9 and 3 is 9 + 3.
  7. What is the value of 3 + 5 ร— 2 (no parentheses)? โ€” 13. Without parentheses, multiply first: 5 ร— 2 = 10. Then add: 3 + 10 = 13.
  8. Which word means subtraction in a math expression? โ€” Difference. "Difference" is the result of subtraction, so it signals a โˆ’ operation.
  9. How many grouping levels are in { [ (5 + 3) ร— 2 ] โˆ’ 4 }? โ€” 3. Three levels: ( ) innermost, [ ] middle, { } outermost.
  10. Evaluate: { [ (2 + 3) ร— 4 ] โˆ’ 6 } โ€” 14. (2+3)=5. [5ร—4]=20. {20โˆ’6}=14. This is the nested example from the lesson.
  11. What does the order of grouping symbols tell you? โ€” Which operations to perform first. Grouping symbols like ( ), [ ], and { } tell you which operations must be evaluated first.
  12. What does PEMDAS stand for? โ€” Parentheses, Exponents, Multiply/Divide, Add/Subtract. PEMDAS: Parentheses, Exponents, Multiplication & Division (left to right), Addition & Subtraction (left to right).
  13. Evaluate: 2 + 3 ร— 4 โ€” 14. Multiply first: 3ร—4=12. Then add: 2+12=14.
  14. Evaluate: (2 + 3) ร— 4 โ€” 20. Parentheses first: (2+3)=5. Then: 5ร—4=20.
  15. Which operation is performed first in: 5 + 4ยฒ โˆ’ 3? โ€” Exponent (4ยฒ). PEMDAS: Exponents come before addition and subtraction.
  16. In PEMDAS, when you reach multiplication and division, you: โ€” Work left to right. Multiplication and division have equal priority โ€” work left to right.
  17. Which mnemonic helps remember PEMDAS? โ€” Please Excuse My Dear Aunt Sally. The classic mnemonic is "Please Excuse My Dear Aunt Sally" for P-E-M-D-A-S.
  18. What is an ordered pair? โ€” Two numbers (x, y) that give a location on a grid. An ordered pair (x, y) gives the exact location of a point on a coordinate grid.
  19. In the ordered pair (5, 3), which value is plotted along the x-axis? โ€” 5. The first number in an ordered pair is the x-value, plotted along the horizontal x-axis.
  20. Pattern A: 0, 1, 2, 3. Pattern B: 0, 2, 4, 6. What is the rule for Pattern B? โ€” Add 2 each time. 0+2=2, 2+2=4, 4+2=6. The rule is "add 2."
  21. Using Pattern A (add 1) and Pattern B (add 2) from above, what is the 5th ordered pair? โ€” (4, 8). The 5th term of A (starting at 0) is 4. The 5th term of B is 8. Ordered pair: (4, 8).
  22. When plotting (x, y), you move _____ along the x-axis and then _____ along the y-axis. โ€” right, up. "Run before you jump" โ€” move right along x first, then up along y.
  23. The origin of a coordinate grid is at: โ€” (0, 0). The origin is the point where both axes cross, at coordinates (0, 0).
  24. Pattern A: 1, 2, 3, 4. Pattern B: 5, 10, 15, 20. What is the relationship? โ€” B is always 5 times A. 5/1=5, 10/2=5, 15/3=5, 20/4=5. B is always 5 times A.
  25. What does "consecutive terms" mean? โ€” Terms that come one after another in a sequence. Consecutive terms are terms that appear one immediately after another in a sequence, like the 3rd and 4th terms.
  26. If y is always 4 more than x, and x = 7, what is y? โ€” 11. y = x + 4 = 7 + 4 = 11.