Let’s solve each problem one by one, step by step.
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Problem 1: Solve 2x - 3x = -18
Combine like terms on the left:
2x - 3x = -x
So:
-x = -18
Multiply both sides by -1:
x = 18
✔ Check: 2(18) - 3(18) = 36 - 54 = -18 → Correct!
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Problem 2: Solve 4x - 3x = 12
Combine like terms:
4x - 3x = x
So:
x = 12
✔ Check: 4(12) - 3(12) = 48 - 36 = 12 → Correct!
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Problem 3: Solve 5x + 2x = -14
Combine like terms:
5x + 2x = 7x
So:
7x = -14
Divide both sides by 7:
x = -2
✔ Check: 5(-2) + 2(-2) = -10 + (-4) = -14 → Correct!
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Problem 4: Solve 7x - 3x = -20
Combine like terms:
7x - 3x = 4x
So:
4x = -20
Divide both sides by 4:
x = -5
✔ Check: 7(-5) - 3(-5) = -35 + 15 = -20 → Correct!
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Problem 5: Solve 6x - 3x = -24
Combine like terms:
6x - 3x = 3x
So:
3x = -24
Divide both sides by 3:
x = -8
✔ Check: 6(-8) - 3(-8) = -48 + 24 = -24 → Correct!
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Now let’s do the evaluation problems.
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Problem 6: Evaluate x + 3 for x = 2
Plug in 2 for x:
2 + 3 = 5
✔ Answer: 5
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Problem 7: Evaluate 2a + 3 for a = 5
Plug in 5 for a:
2(5) + 3 = 10 + 3 = 13
✔ Answer: 13
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Problem 8: Evaluate j + 9 for j = -2
Plug in -2 for j:
-2 + 9 = 7
✔ Answer: 7
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Problem 9: Evaluate 2k + 4 for k = -6
Plug in -6 for k:
2(-6) + 4 = -12 + 4 = -8
✔ Answer: -8
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Final Answer:
1. x = 18
2. x = 12
3. x = -2
4. x = -5
5. x = -8
6. 5
7. 13
8. 7
9. -8
Parent Tip: Review the logic above to help your child master the concept of algebra 2 worksheets with answers pdf.
