Math With Amar · Guided practice
10,000 ways to practice.
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Each chapter gives you a distinct mathematical scenario: one question to attempt, a hint, a worked solution, and an animated example you can control.
10,000 questions · 10,000 animated scenarios · 14 study levels
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Grade labels are starting points; school sequences vary. Advanced chapters assume the prerequisites listed on their pages.
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Grade 8 practice chapters
421–440 of 750 matching chapters · Page 22 of 38
Clear filtersGrade 8 · Chapter 421
Distinguish length and area multipliers · practice 47
Dilate a rectangle with sides 1 and 3 by length factor 2. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 422
Connect slope and a linear rule · practice 48
For the line y = -2.5x + (9), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 423
Locate simultaneous solutions · practice 48
Solve the simultaneous equations y = -2.5x and y = -2x + (3). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 424
Translate every coordinate equally · practice 46
Translate the point (1, 1) by the vector (-4, -6). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 425
Follow decimal place-value scaling · practice 45
Write 2.5 × 10^(-3) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 426
Separate trend from causal claims · practice 46
For inputs [1, 2, 3, 4, 5] and corresponding outputs [4.5, 6, 10, 14, 15.5], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 427
Accumulate circular cross-sections · practice 46
Find the volume of a cylinder with radius 6.5 and height 6.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 428
Bracket a principal square root · practice 48
Enclose √110 after 11 bisections starting from [0, 110]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 429
Distinguish length and area multipliers · practice 48
Dilate a rectangle with sides 2 and 5 by length factor 1.5. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 430
Connect slope and a linear rule · practice 49
For the line y = -3.5x + (-7), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 431
Locate simultaneous solutions · practice 49
Solve the simultaneous equations y = 1x and y = 1x + (-4). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 432
Translate every coordinate equally · practice 47
Translate the point (1, 1) by the vector (-1, 5). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 433
Follow decimal place-value scaling · practice 46
Write 3 × 10^(5) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 434
Separate trend from causal claims · practice 47
For inputs [1, 2, 3, 4, 5] and corresponding outputs [4.75, 2.5, 6.5, 10.5, 8.25], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 435
Accumulate circular cross-sections · practice 47
Find the volume of a cylinder with radius 4.5 and height 3. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 436
Bracket a principal square root · practice 49
Enclose √86 after 7 bisections starting from [0, 86]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 437
Distinguish length and area multipliers · practice 49
Dilate a rectangle with sides 5 and 5.75 by length factor 3. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 438
Connect slope and a linear rule · practice 50
For the line y = -4x + (6), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 439
Locate simultaneous solutions · practice 50
Solve the simultaneous equations y = 2x and y = 1x + (4). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 440
Translate every coordinate equally · practice 48
Translate the point (1, 1) by the vector (1, -5). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapter