Question

1. simplify the expression - 12÷6(- 3)+8. a. 14 b. -22 c. 2 d. 3
2. simplify the expression 2
3. evaluate bc + 5a if a = 3, b = 4, and c=-6. a. -38 b. 38 c. -9 d. 9
4. evaluate r³ + 2s² if r =-
5. distribute, then, if necessary, simplify the expression 3(2c - 5). a. 6c + 15 b. 6c - 15 c. - 6c + 15 d. - 6c - 15
6. distribute, then, if necess expression 4(8x + 1) - 6(1
7. distribute, then, if necessary, simplify the expression 2x + 7(x - 5) - 4. a. 9x - 39 b. 9x + 31 c. 9x - 31 d. 9x + 20
8. solve the multi - step inec 28 - k ≥ 7(k - 4). a. k ≤ 7 b. k ≥ 7 c. k ≥- 7 d. k ≤- 7
9. solve the equation x - 12 = 2. a. 10 b. 20 c. 24 d. 14
10. what is the first step to 11 - 3x = 44? a. subtract 11 from b b. divide by 3 on bot c. add 11 to both sic d. add 3 to both side

Explanation:

Step1: Simplify - 12÷6(-3)+8

First, perform division: -12÷6 = -2. Then multiply -2 by -3: (-2)×(-3)=6. Then add 8: 6 + 8=14.

Step2: Simplify 3(2c - 5)

Use distributive property: 3×2c-3×5 = 6c - 15.

Step3: Evaluate bc + 5a with a = 3, b = 4, c=-6

Substitute values: (4×(-6))+5×3=-24 + 15=-9.

Step4: Simplify 2x + 7(x - 5)-4

Distribute 7: 2x+7x-35 - 4. Combine like - terms: (2x + 7x)+(-35 - 4)=9x-39.

Step5: Solve x - 12 = 2

Add 12 to both sides: x=2 + 12=14.

Step6: Solve 28 - k≥7(k - 4)

Distribute 7: 28 - k≥7k-28. Add k to both sides: 28≥8k-28. Add 28 to both sides: 56≥8k. Divide both sides by 8: k≤7.

Step7: First step to solve 11 - 3x = 44

Subtract 11 from both sides.

Answer:

1. A. 14
2. (No expression given to simplify for 2 in the step - by - step, but if following the pattern of other distribution problems, assume it's a similar arithmetic operation problem. If we consider the general form of simplification problems, we need more info. Ignoring this for now as per the main operations shown in other questions).
3. C. -9
4. (No values for r and s given in step - by - step for evaluation. Assume more info is missing. Ignoring this for now).
5. B. 6c - 15
6. (No full expression for 6 in step - by - step. Assume more info is missing. Ignoring this for now).
7. A. 9x - 39
8. A. k≤7
9. D. 14
10. A. Subtract 11 from both sides