Using Equations

• True

• False

Answer explanation

The equation 3x + 4y = x + 3xy - 2 is a literal equation because it contains variables (x and y) and expresses a relationship between them. Therefore, the statement is True.

• True

• False

Answer explanation

The equation x=3x+4y is not solved for x because x appears on both sides. To solve for x, we need to isolate it, which hasn't been done here. Therefore, the statement is False.

A literal equation has more than one variable.

• True

• False

Answer explanation

A literal equation is defined as an equation that contains two or more variables. Therefore, the statement is true, as it confirms that a literal equation indeed has more than one variable.

The percent equation is percent = part ÷ whole.

• True

• False

Answer explanation

The percent equation is actually part = percent × whole. Therefore, the statement is false.

A percent is the ratio of a number to 100.

• True

• False

Answer explanation

The statement is false because a percent represents a ratio of a number to 100, not to a penny. Percentages express how much of a whole is represented by a part, typically out of 100.

If a number is increased by 300%, the new number is four times the old number.

• True

• False

Answer explanation

Increasing a number by 300% means adding three times the original number to itself. This results in the new number being four times the original, confirming the statement is true.

If the perimeter of a square is 36, then what is the length of each side?

• 18

• 5

• 9

• 8

• 6

Answer explanation

The perimeter of a square is calculated as 4 times the length of one side. If the perimeter is 100, then each side is 100 ÷ 4 = 25. Therefore, the length of each side is 25.

• 3

• 4

• 5

• 6

• 7

Answer explanation

To solve 3x - 7 = 5, add 7 to both sides: 3x = 12. Then, divide by 3: x = 4. Thus, the correct answer is 4.

• 4

• -2

• 2

• -4

• 6

Answer explanation

To solve -3x + 7 = 5, subtract 7 from both sides to get -3x = -2. Then, divide by -3 to find x = 2/3. Thus, the correct answer is 2/3.

Which of the following is not a literal equation?

• A = s²

• C = 12π

• d = 2r

• E = mc²

• F = 9.8m

Answer explanation

The equation C = 10π is a specific value rather than a formula relating variables, making it not a literal equation. The other options express relationships between variables.