Math 8 Unit 1 1.5 Assignment
Name___________________________________
Equations with Infinite and No Solutions
Period____
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Solve each equation.
1) 6 x + 3 − 6 x = 3
2) 0 = −4 p + 4 p
3) 1 = 5 + p − p
4) a − a = −5
5) 0 = 4 x − 4 x
6) 7 = 6 − 4r + 4r
7) 154 = -4(8 + 6r) + 24r
8) -28 = -7(3x +4) + 21x
Solve each equation.
9) −(−4 x + 7) = −2 + 4 x
10) 4(8n − 1) = 19 + 32n
11) −(n − 6) − 8 = −(1 + n)
12) 8(k − 6) + 58 = 2(4k + 5)
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Worksheet by Kuta Software LLC
13) 4(m − 1) + 5 = −(1 − 4m)
14) −6(k + 1) = −3 − (6k + 3)
Determine if the equation has one, none or infinite solutions.
15) −21 − 8a = −1 + 6(4 − 5a)
16) −7 p − 12 = −4 p + 3(−4 − p)
17) −11 + x = −7 x − 8(− x + 1)
18) 33 + 6 x = 3(−1 + 5 x)
19) −5( x − 1) = 5 − 5 x
20) 12 + 4n = 4(n + 3)
21) 208 = 8(1 + 5 x)
22) 4(−4 − 8m) + 28m + 4m = −272
23) 93 + 12m = 3(4m − 1) + 96
24) 267 = 5(8n + 4) + 7
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Worksheet by Kuta Software LLC
Math 8 Unit 1 1.5 Assignment
Name___________________________________
Equations with Infinite and No Solutions
Period____
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Solve each equation.
1) 6 x + 3 − 6 x = 3
2) 0 = −4 p + 4 p
Infinite Solutions
3) 1 = 5 + p − p
Infinite Solutions
4) a − a = −5
No solution.
5) 0 = 4 x − 4 x
No solution.
6) 7 = 6 − 4r + 4r
Infinite Solutions
7) 154 = -4(8 + 6r) + 24r
No solution.
8) -28 = -7(3x +4) + 21x
No Solution
Infinite Solutions
Solve each equation.
9) −(−4 x + 7) = −2 + 4 x
10) 4(8n − 1) = 19 + 32n
No solution.
11) −(n − 6) − 8 = −(1 + n)
No solution.
12) 8(k − 6) + 58 = 2(4k + 5)
No solution.
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Infinite Solutions
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Worksheet by Kuta Software LLC
13) 4(m − 1) + 5 = −(1 − 4m)
14) −6(k + 1) = −3 − (6k + 3)
No solution.
Infinite Solutions
Determine if the equation has one, none or infinite solutions.
15) −21 − 8a = −1 + 6(4 − 5a)
16) −7 p − 12 = −4 p + 3(−4 − p)
One Solution, a = 2
17) −11 + x = −7 x − 8(− x + 1)
Infinite Solutions
18) 33 + 6 x = 3(−1 + 5 x)
No solution.
One Solution, x = 4
19) −5( x − 1) = 5 − 5 x
20) 12 + 4n = 4(n + 3)
Infinite Solutions
Infinite Solutions
21) 208 = 8(1 + 5 x)
22) 4(−4 − 8m) + 28m + 4m = −272
One Solution, x = 5
23) 93 + 12m = 3(4m − 1) + 96
No Solution
24) 267 = 5(8n + 4) + 7
Infinite Solutions
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One Solution, n = 6
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Worksheet by Kuta Software LLC