Q3

Estimate the difference of \(758 - 342\) by rounding to the nearest hundred.

Q4

Calculate the exact sum: \(28,945 + 14,258\).

Q5

Calculate the exact sum: \(318,450 + 491,720\).

Q6

Find the exact difference: \(75,412 - 28,195\).

Q7

Find the exact difference: \(812,450 - 389,128\).

Q8

Subtract across zeros: \(90,000 - 45,318\).

Q9

A farm produced 12,450 cartons of eggs on Monday, 8,912 on Tuesday, and some on Wednesday. If the total produced for all three days was 30,000 cartons, how many did they produce on Wednesday?

Q10

Explain how you can verify your answer to \(4,000 - 1,854 = 2,146\) using addition.

Review carefully and check your work twice on the real test! Page 2 of 2

• Q1: \(4,000 + 4,000 = 8,000\).
• Q2: \(600 - 300 = 300\).
• Q3: \(1,500 + 2,900 = 4,400\) tickets.
• Q4: Closer to \(4,000\) because \(8,712 \approx 8,700\) and \(4,289 \approx 4,300\); \(8,700 - 4,300 = 4,400\) (closer to 4,000 than 5,000).
• Q5: \(340 + 260 = 600\) (compatible numbers).

Lesson 2-3: Add Whole Numbers

• Q1: \(45,821 + 32,159 = 77,980\).
• Q2: \(318,450 + 291,580 = 610,030\).
• Q3: \(8,945 + 3,412 + 1,023 = 13,380\).
• Q4: Sarah forgot to regroup the carried "1" from the ones column (\(6 + 8 = 14\)) into the tens.
• Q5: \(12,450 + 8,912 = 21,362\) total fruits.

Lesson 2-5: Subtract Whole Numbers

• Q1: \(8,452 - 3,219 = 5,233\).
• Q2: \(45,391 - 12,845 = 32,546\).
• Q3: \(76,215 - 43,598 = 32,617\). Check: \(32,617 + 43,598 = 76,215\).
• Q4: Missing digits are 5 and 5: (\(5,578 - 2,453 = 3,125\)).
• Q5: \(15,420 - 3,189 = 12,231\) books.

Lesson 2-6: Subtract Greater Numbers

• Q1: \(612,450 - 289,315 = 323,135\).
• Q2: \(841,029 - 452,187 = 388,842\).
• Q3: \(1,245,800 - 679,250 = 566,550\).
• Q4: \(345,901 - 128,455 = 217,446\). Check: \(217,446 + 128,455 = 345,901\).
• Q5: \(452,190 - 289,450 = 162,740\) more people.

Lesson 2-7: Subtract Across Zeros

• Q1: \(4,000 - 1,845 = 2,155\).
• Q2: \(50,000 - 23,412 = 26,588\).
• Q3: \(305,002 - 128,456 = 176,546\).
• Q4: \(800,000 - 451,209 = 348,791\).
• Q5: \(10,000 - 4,321 = 5,679\) bags.

Lesson 2-8: Problem Solving & Reasoning

• Q1: Equation: \(5,000 - (1,250 + 450) = x\). Answer: \(3,300\).

• Q2: \(B = 10,000 - 3,450 = 6,550\).

• Q3: Incorrect. Tom subtracted \(8,000 - 3,000\) and then added rather than regrouping. Correct: \(4,548\).

• Q4: Monday + Tuesday: \(1,245 + 980 = 2,225\) miles. Wednesday: \(2,225 - 450 = 1,775\) miles.

• Q5: Add the difference and the subtracted number to see if you get the starting number: \(24,445 + 29,876 = 54,321\).

Verify student work and encourage them to show their thinking on lines. Page 2 of 3

Answer Key Verified Complete

Showdown Practice Test Key

Detailed solutions for the 10-Question Practice Test

Envision Math Topic 2

Educator Resource

Q1: Use mental math (compensation) to solve \(428 + 199\).
Solution: Add 200 first: \(428 + 200 = 628\). Subtract 1 since 199 is 1 less than 200: \(628 - 1 = 627\).

Q2: Estimate the sum of \(3,812 + 4,195\) by rounding to the nearest thousand.
Solution: \(3,812\) rounds to \(4,000\). \(4,195\) rounds to \(4,000\). Sum: \(4,000 + 4,000 = 8,000\).

Q3: Estimate the difference of \(758 - 342\) by rounding to the nearest hundred.
Solution: \(758\) rounds to \(800\). \(342\) rounds to \(300\). Difference: \(800 - 300 = 500\).

Q4: Calculate the exact sum: \(28,945 + 14,258\).
Solution: Regroup ones (\(5+8=13\)), tens (\(1+4+5=10\)), hundreds (\(1+9+2=12\)), thousands (\(1+8+4=13\)). Sum: \(43,203\).

Q5: Calculate the exact sum: \(318,450 + 491,720\).
Solution: Regroup hundreds (\(4+7=11\)), thousands (\(1+8+1=10\)), ten thousands (\(1+1+9=11\)). Sum: \(810,170\).

Q6: Find the exact difference: \(75,412 - 28,195\).
Solution: Borrow across columns. \(12-5=7\) ones, \(10-9=1\) ten, \(3-1=2\) hundreds, \(15-8=7\) thousands, \(6-2=4\) ten thousands. Difference: \(47,217\).

Q7: Find the exact difference: \(812,450 - 389,128\).
Solution: Borrow carefully: \(10-8=2\) ones, \(4-2=2\) tens, \(4-1=3\) hundreds, \(12-9=3\) thousands, \(10-8=2\) ten thousands, \(7-3=4\) hundred thousands. Difference: \(423,322\).

Q8: Subtract across zeros: \(90,000 - 45,318\).
Solution: Regroup 90,000 to 8 ten thousands, 9 thousands, 9 hundreds, 9 tens, 10 ones. Subtract: \(44,682\).

Q9: Word Problem: Egg production on Wednesday.
Solution: Mon + Tue: \(12,450 + 8,912 = 21,362\). Wednesday production: \(30,000 - 21,362 = \mathbf{8,638}\) cartons.

Q10: Verification explanation.
Solution: Add the difference \(2,146\) to the subtracted number \(1,854\). Since \(2,146 + 1,854 = 4,000\), the answer is correct.

Review solutions with students to celebrate growth and build confidence! Page 3 of 3