Free 9th Grade Math Worksheets—Printable w/ Answers — Mashup Math - Free Printable

$Free 9th Grade Math Worksheets—Printable w/ Answers — Mashup Math$

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Show Answer Key & Explanations Step-by-step solution for: Free 9th Grade Math Worksheets—Printable w/ Answers — Mashup Math

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Let’s solve each equation step by step. We’ll isolate the variable (x) on one side and numbers on the other.

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1.) x + 142 = 16x + 7

Subtract x from both sides:
142 = 15x + 7

Subtract 7 from both sides:
135 = 15x

Divide by 15:
x = 9

✔ Check: 9 + 142 = 151; 16*9 + 7 = 144 + 7 = 151 → Correct.

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2.) 8x = 2x – 6

Subtract 2x from both sides:
6x = -6

Divide by 6:
x = -1

✔ Check: 8*(-1) = -8; 2*(-1) – 6 = -2 – 6 = -8 → Correct.

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3.) 1 + 9x = 7 + 8x

Subtract 8x from both sides:
1 + x = 7

Subtract 1:
x = 6

✔ Check: 1 + 9*6 = 1 + 54 = 55; 7 + 8*6 = 7 + 48 = 55 → Correct.

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4.) -8x + 8 = 10 + 5 – 9x

Simplify right side: 10 + 5 = 15 → -8x + 8 = 15 – 9x

Add 9x to both sides:
x + 8 = 15

Subtract 8:
x = 7

✔ Check: Left: -8*7 + 8 = -56 + 8 = -48; Right: 15 – 9*7 = 15 – 63 = -48 → Correct.

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5.) 7x + 2 = -10x + 2

Add 10x to both sides:
17x + 2 = 2

Subtract 2:
17x = 0

Divide by 17:
x = 0

✔ Check: 7*0 + 2 = 2; -10*0 + 2 = 2 → Correct.

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6.) 55 – x = 2x + 13

Add x to both sides:
55 = 3x + 13

Subtract 13:
42 = 3x

Divide by 3:
x = 14

✔ Check: 55 – 14 = 41; 2*14 + 13 = 28 + 13 = 41 → Correct.

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7.) -3x – 4x = -8x + 1

Combine left: -7x = -8x + 1

Add 8x to both sides:
x = 1

✔ Check: Left: -3(1) – 4(1) = -7; Right: -8(1) + 1 = -7 → Correct.

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8.) 5 – 5x + 6 = 4 – 4x

Combine left: 11 – 5x = 4 – 4x

Add 5x to both sides:
11 = 4 + x

Subtract 4:
x = 7

✔ Check: Left: 5 – 35 + 6 = -24; Right: 4 – 28 = -24 → Correct.

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9.) 7x – 5 = 9x + 9

Subtract 7x:
-5 = 2x + 9

Subtract 9:
-14 = 2x

Divide by 2:
x = -7

✔ Check: 7*(-7) – 5 = -49 – 5 = -54; 9*(-7) + 9 = -63 + 9 = -54 → Correct.

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10.) -20 – 8x = 5x – 7

Add 8x to both sides:
-20 = 13x – 7

Add 7:
-13 = 13x

Divide by 13:
x = -1

✔ Check: Left: -20 – 8*(-1) = -20 + 8 = -12; Right: 5*(-1) – 7 = -5 – 7 = -12 → Correct.

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11.) 100 – x = 6 + 11x + 10

Simplify right: 6 + 10 = 16 → 100 – x = 16 + 11x

Add x to both sides:
100 = 16 + 12x

Subtract 16:
84 = 12x

Divide by 12:
x = 7

✔ Check: Left: 100 – 7 = 93; Right: 6 + 77 + 10 = 93 → Correct.

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12.) -5 + 5x = 10x + 4 – 6x

Simplify right: 10x – 6x = 4x → -5 + 5x = 4x + 4

Subtract 4x:
-5 + x = 4

Add 5:
x = 9

✔ Check: Left: -5 + 45 = 40; Right: 90 + 4 – 54 = 40 → Correct.

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13.) x – 9 – 5x = 2 – 5x

Combine left: -4x – 9 = 2 – 5x

Add 5x to both sides:
x – 9 = 2

Add 9:
x = 11

✔ Check: Left: 11 – 9 – 55 = -53; Right: 2 – 55 = -53 → Correct.

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14.) 38 + 12x = 64 – x

Add x to both sides:
38 + 13x = 64

Subtract 38:
13x = 26

Divide by 13:
x = 2

✔ Check: Left: 38 + 24 = 62; Right: 64 – 2 = 62 → Correct.

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15.) 3x – 10 = 4x – 8

Subtract 3x:
-10 = x – 8

Add 8:
-2 = x → x = -2

✔ Check: Left: 3*(-2) – 10 = -6 – 10 = -16; Right: 4*(-2) – 8 = -8 – 8 = -16 → Correct.

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16.) x + 2 = 2x + 14

Subtract x:
2 = x + 14

Subtract 14:
-12 = x → x = -12

✔ Check: Left: -12 + 2 = -10; Right: 2*(-12) + 14 = -24 + 14 = -10 → Correct.

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Final Answer:
1.) x = 9
2.) x = -1
3.) x = 6
4.) x = 7
5.) x = 0
6.) x = 14
7.) x = 1
8.) x = 7
9.) x = -7
10.) x = -1
11.) x = 7
12.) x = 9
13.) x = 11
14.) x = 2
15.) x = -2
16.) x = -12

Parent Tip: Review the logic above to help your child master the concept of math worksheet for 9th grade.

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