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Math With Amar · Guided 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

A collection of concrete mathematics tools for building mathematical understanding

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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 7 practice chapters

101–120 of 750 matching chapters · Page 6 of 38

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  1. Grade 7 · Chapter 101

    Check a two-step equation · practice 11

    Solve 8x + (5) = 47, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  2. Grade 7 · Chapter 102

    Reverse order for negative division · practice 11

    Solve -7x ≤ 0, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  3. Grade 7 · Chapter 103

    Compare map and model scales · practice 11

    Dilate a rectangle with sides 2 and 6 by length factor 2.5. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  4. Grade 7 · Chapter 104

    Connect circumference and circle area · practice 11

    A circle has radius 3. Find the area and arc length of its 210° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  5. Grade 7 · Chapter 105

    Account for every box face · practice 11

    Find the surface area of a closed rectangular box with edge lengths 3, 6, and 8. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  6. Grade 7 · Chapter 106

    Test a summary against all readings · practice 11

    Find the mean, median, and range of the five values [4, 6, 8, 15, 17]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  7. Grade 7 · Chapter 107

    Build a two-stage outcome table · practice 8

    Two independent selections each have six equally likely outcomes. The first has 6 favorable outcomes and the second has 3. Find the probability both are favorable. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  8. Grade 7 · Chapter 108

    Combine rational changes · practice 12

    Start at -8.5 and apply a signed change of -8. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  9. Grade 7 · Chapter 109

    Preserve a proportional relationship · practice 12

    One batch has 10 units of A and 6 units of B. Find both quantities in 4 identical batches and the fraction of the total that is A. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  10. Grade 7 · Chapter 110

    Track the percent reference base · practice 12

    An original amount of 125 changes by 65%. Find the signed change and the new amount. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  11. Grade 7 · Chapter 111

    Check a two-step equation · practice 12

    Solve 7x + (10) = 35, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  12. Grade 7 · Chapter 112

    Reverse order for negative division · practice 12

    Solve -1x ≤ 24, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  13. Grade 7 · Chapter 113

    Compare map and model scales · practice 12

    Dilate a rectangle with sides 4 and 4.75 by length factor 1.75. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  14. Grade 7 · Chapter 114

    Connect circumference and circle area · practice 12

    A circle has radius 1.5. Find the area and arc length of its 165° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  15. Grade 7 · Chapter 115

    Account for every box face · practice 12

    Find the surface area of a closed rectangular box with edge lengths 4.5, 4.5, and 7. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  16. Grade 7 · Chapter 116

    Test a summary against all readings · practice 12

    Find the mean, median, and range of the five values [8, 10, 11, 17, 19]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  17. Grade 7 · Chapter 117

    Combine rational changes · practice 13

    Start at -2 and apply a signed change of 4.5. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  18. Grade 7 · Chapter 118

    Preserve a proportional relationship · practice 13

    One batch has 8 units of A and 5 units of B. Find both quantities in 6 identical batches and the fraction of the total that is A. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  19. Grade 7 · Chapter 119

    Track the percent reference base · practice 13

    An original amount of 150 changes by 5%. Find the signed change and the new amount. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  20. Grade 7 · Chapter 120

    Check a two-step equation · practice 13

    Solve 6x + (-10) = 24, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
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