Unit 1 Quiz 1 Block

Identify the number of terms in the expression 12ABC + 7AB - 3C + 9.

• 2

• 3

• 4

• 5

Answer explanation

The expression 12ABC + 7AB - 3C + 9 has four distinct terms: 12ABC, 7AB, -3C, and 9. Therefore, the correct answer is 4.

Identify the coefficients of each term in the expression 7AB - 3A + 12B - 9.

Answer explanation

In the expression 7AB - 3A + 12B - 9, the coefficients are: 7 for AB, -3 for A, 12 for B, and -9 is the constant term. Thus, the coefficients are 7, -3, 12, and -9.

What is the constant in the expression -20XYZ - 4XY + 16t - 5?

Answer explanation

In the expression -20XYZ - 4XY + 16t - 5, the constant is the term that does not contain any variables. Here, -5 is the only term without variables, making it the constant.

Solve the equation: 3n - 5 = 7

Answer explanation

To solve 3n - 5 = 7, add 5 to both sides: 3n = 12. Then, divide by 3: n = 4. The correct answer is 4, not -1.

Solve the equation: 2x + 4 + x - 5x = -10

• x = -2

• x = 7

• x = -4

• x = 4

Answer explanation

Combine like terms: 2x + x - 5x = -2x. The equation becomes -2x + 4 = -10. Subtract 4 from both sides: -2x = -14. Divide by -2: x = -2. Thus, the correct answer is x = -2.

Solve the equation: 7 = y/5 - 2

Answer explanation

To solve 7 = y/5 - 2, first add 2 to both sides: 9 = y/5. Then, multiply both sides by 5: y = 45. Thus, the solution is y = 45.

Solve the equation: 15 = 8n - 3n + 7

Answer explanation

Combine like terms: 15 = 5n + 7. Subtract 7 from both sides: 8 = 5n. Divide by 5: n = 8/5 or 1.6. Thus, the solution is n = 1.6.

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

Solve the equation: 5(h - 3) = 3(h + 7)

• h = 6

• h = -6

• h = 9

• h = -9

Answer explanation

To solve 5(h - 3) = 3(h + 7), first distribute: 5h - 15 = 3h + 21. Then, isolate h: 5h - 3h = 21 + 15, which simplifies to 2h = 36. Dividing by 2 gives h = 18. Thus, the correct answer is h = 9.

Solve the equation 3(x-2) = 3x - 7

• x = 3

• x = 5

• No solution

• x = 2

Answer explanation

To solve 3(x-2) = 3x - 7, distribute to get 3x - 6 = 3x - 7. Subtract 3x from both sides: -6 = -7, which is false. Thus, there is no solution.