Let’s go through each function table one by one. For each, we’ll plug in the given x-values into the equation to find the matching y-value.
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1) y = (1/6)x + 6
We already have some answers filled in — let’s check them and fill any missing if needed. But since all are filled, we just verify:
- x=3 → (1/6)(3)+6 = 0.5+6 =
6.5 ✔
- x=-1 → (1/6)(-1)+6 ≈ -0.1667+6 =
5.833 ✔
- x=6 → (1/6)(6)+6 = 1+6 =
7 ✔
- x=-9 → (1/6)(-9)+6 = -1.5+6 =
4.5 ✔
- x=1 → (1/6)(1)+6 ≈ 0.1667+6 =
6.167 ✔
All correct.
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2) y = x + 2
Plug in each x:
- x=9 → 9+2 =
11
- x=-4 → -4+2 =
-2
- x=2 → 2+2 =
4
- x=8 → 8+2 =
10
- x=-5 → -5+2 =
-3
---
3) y = -7x - 3
- x=2 → -7(2)-3 = -14-3 =
-17
- x=6 → -7(6)-3 = -42-3 =
-45
- x=3 → -7(3)-3 = -21-3 =
-24
- x=-2 → -7(-2)-3 = 14-3 =
11
- x=8 → -7(8)-3 = -56-3 =
-59
---
4) y = -(1/3)x - 9
- x=0 → -(1/3)(0)-9 = 0-9 =
-9
- x=-9 → -(1/3)(-9)-9 = 3-9 =
-6
- x=2 → -(1/3)(2)-9 ≈ -0.6667-9 =
-9.667
- x=9 → -(1/3)(9)-9 = -3-9 =
-12
- x=5 → -(1/3)(5)-9 ≈ -1.6667-9 =
-10.667
*(Note: We can write as fractions or decimals. Since others used decimals, we’ll use rounded decimals to 3 places where needed.)*
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5) y = 7x
- x=-9 → 7*(-9) =
-63
- x=3 → 7*3 =
21
- x=-2 → 7*(-2) =
-14
- x=5 → 7*5 =
35
- x=9 → 7*9 =
63
---
6) y = -5x
- x=0 → -5*0 =
0
- x=-4 → -5*(-4) =
20
- x=4 → -5*4 =
-20
- x=1 → -5*1 =
-5
- x=2 → -5*2 =
-10
---
7) y = -2x - 4
- x=3 → -2(3)-4 = -6-4 =
-10
- x=-7 → -2(-7)-4 = 14-4 =
10
- x=-9 → -2(-9)-4 = 18-4 =
14
- x=1 → -2(1)-4 = -2-4 =
-6
- x=-4 → -2(-4)-4 = 8-4 =
4
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8) y = x + 4
- x=-7 → -7+4 =
-3
- x=-8 → -8+4 =
-4
- x=3 → 3+4 =
7
- x=4 → 4+4 =
8
- x=-1 → -1+4 =
3
---
9) y = x - 8
- x=2 → 2-8 =
-6
- x=-3 → -3-8 =
-11
- x=-6 → -6-8 =
-14
- x=1 → 1-8 =
-7
- x=0 → 0-8 =
-8
---
10) y = -(1/4)x + 8
- x=0 → -(1/4)(0)+8 = 0+8 =
8
- x=-8 → -(1/4)(-8)+8 = 2+8 =
10
- x=5 → -(1/4)(5)+8 = -1.25+8 =
6.75
- x=-9 → -(1/4)(-9)+8 = 2.25+8 =
10.25
- x=-2 → -(1/4)(-2)+8 = 0.5+8 =
8.5
---
11) y = 5x + 5
- x=-2 → 5(-2)+5 = -10+5 =
-5
- x=-3 → 5(-3)+5 = -15+5 =
-10
- x=3 → 5(3)+5 = 15+5 =
20
- x=-7 → 5(-7)+5 = -35+5 =
-30
- x=-8 → 5(-8)+5 = -40+5 =
-35
---
12) y = -9x
- x=0 → -9*0 =
0
- x=-7 → -9*(-7) =
63
- x=6 → -9*6 =
-54
- x=5 → -9*5 =
-45
- x=-3 → -9*(-3) =
27
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Now, compiling all final answers for the blank tables:
Final Answer:
2) y = x + 2: [11, -2, 4, 10, -3]
3) y = -7x - 3: [-17, -45, -24, 11, -59]
4) y = -(1/3)x - 9: [-9, -6, -9.667, -12, -10.667]
5) y = 7x: [-63, 21, -14, 35, 63]
6) y = -5x: [0, 20, -20, -5, -10]
7) y = -2x - 4: [-10, 10, 14, -6, 4]
8) y = x + 4: [-3, -4, 7, 8, 3]
9) y = x - 8: [-6, -11, -14, -7, -8]
10) y = -(1/4)x + 8: [8, 10, 6.75, 10.25, 8.5]
11) y = 5x + 5: [-5, -10, 20, -30, -35]
12) y = -9x: [0, 63, -54, -45, 27]
Parent Tip: Review the logic above to help your child master the concept of free printable worksheet with answer keys.
