7th Grade Algebra Homework - Dec 04, 09:53

Algebra questions

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1. Solve for x: 3x + 7 = 22

Solution
Correct: B
Subtract 7 from both sides: 3x = 15. Divide both sides by 3: x = 5. Therefore, the answer is x = 5.

2. Simplify the expression: 4(y + 2) - 3y

Solution
Correct: C
Distribute the 4: 4y + 8 - 3y. Combine like terms: y + 8. The answer is y + 8.

3. If a = 5 and b = -2, what is the value of a - b?

Solution
Correct: B
Substitute the values: 5 - (-2). Subtracting a negative is the same as adding: 5 + 2 = 7. The answer is 7.

4. Solve for m: m/4 = 6

Solution
Correct: C
Multiply both sides by 4: m = 6 * 4 = 24. Therefore, the answer is m = 24.

5. What is the value of 2x + 5 when x = 3?

Solution
Correct: C
Substitute x = 3 into the expression: 2(3) + 5 = 6 + 5 = 11. The answer is 11.

6. Which expression is equivalent to 2(x - 3) + 5?

Solution
Correct: A
Distribute the 2: 2x - 6 + 5. Combine like terms: 2x - 1. The answer is 2x - 1.

7. Solve for y: 2y - 8 = 0

Solution
Correct: C
Add 8 to both sides: 2y = 8. Divide both sides by 2: y = 4. The answer is y = 4.

8. Combine like terms: 5a + 3b - 2a + b

Solution
Correct: A
Combine the 'a' terms: 5a - 2a = 3a. Combine the 'b' terms: 3b + b = 4b. The simplified expression is 3a + 4b.

9. What is the value of 4x - 2 if x = -1?

Solution
Correct: A
Substitute x = -1 into the expression: 4(-1) - 2 = -4 - 2 = -6. Therefore, the answer is -6.

10. Solve for p: p + 5 = 12 - 2

Solution
Correct: A
Simplify the right side: 12 - 2 = 10. The equation is now p + 5 = 10. Subtract 5 from both sides: p = 5. The answer is p = 5.

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