Unit 1 Quiz 1 Pd 3

How many terms are in the expression 15ABC + 7AB - 3C + 9?

Answer explanation

The expression 15ABC + 7AB - 3C + 9 has four distinct terms: 15ABC, 7AB, -3C, and 9. Each term is separated by a '+' or '-' sign, making the total number of terms equal to 4.

List the factors of the 2nd term in the expression 10XYZ + 8XY - 5Z + 7.

Answer explanation

The 2nd term is 8XY. Its factors are 8, X, and Y. Therefore, the factors of the 2nd term are 8, X, and Y.

What is the constant in the expression 12XYZ + 5XY - 8z + 4?

Identify the coefficients in the expression 3x + 4y - 8z + 6

Answer explanation

In the expression 3x + 4y - 8z + 6, the coefficients are the numerical factors of the variables. Thus, the coefficients are 3 (for x), 4 (for y), and -8 (for z). The constant term 6 has no variable and is not a coefficient.

Solve the equation: 5x - 3 + 3x + 7 = 6x + 10

Answer explanation

Combine like terms: 5x + 3x = 8x and -3 + 7 = 4, so the equation becomes 8x + 4 = 6x + 10. Subtract 6x from both sides: 2x + 4 = 10. Subtract 4: 2x = 6. Finally, divide by 2: x = 3.

Solve the equation: 20 = 5n + 3n + 1

Answer explanation

Combine like terms: 20 = 8n + 1. Subtract 1 from both sides: 19 = 8n. Divide by 8: n = 19/8 or 2.375.

Solve the equation: 2(h + 1) = 5h - 7

Answer explanation

To solve 2(h + 1) = 5h - 7, first expand to get 2h + 2 = 5h - 7. Then, rearrange to isolate h: 2 + 7 = 5h - 2h, leading to 9 = 3h. Finally, divide by 3 to find h = 3.

Solve the equation: 5(x + 2) = 3(x - 4)

Answer explanation

First, distribute: 5x + 10 = 3x - 12. Then, isolate x: 5x - 3x = -12 - 10, leading to 2x = -22. Finally, divide by 2 to find x = -11.

5 ( x + 2) - 3x = 2 (x + 5)

Answer explanation

First, distribute: 5x + 10 - 3x = 2x + 10. Combine like terms: 2x + 10 = 2x + 10. This simplifies to 0 = 0, indicating the equation is true for all x. Thus, any x is a solution.

4 (2x - 3) = 1/2 (16 + 8x)

Answer explanation

To solve, first distribute: 8x - 12 = 8 + 4x. Then, rearrange to get 8x - 4x = 8 + 12, leading to 4x = 20. Finally, divide by 4 to find x = 5.