Question 1

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation.
-3(8t + 10) = 6(2t + 3)

Accepted Answer

B

Question 2

Decide whether the given number is a solution to the equation preceding it.
-7p + 5p - 4 = 32; 3

Accepted Answer

7p + 5p - 4 = 3212p - 4 = 3212p = 36p = 3

Question 3

Decide whether the given number is a solution to the equation preceding it.
-9m + 8 = 46; 4

Accepted Answer

Substituting $m = 4$ into the equation $9m + 8 = 46$, we get $9(4) + 8 = 36 + 8 = 44$, which is not equal to 46. Therefore, 4 is not a solution to the equation.

Question 4

Solve the equation.
-4z + 12 = 3z + 4

Accepted Answer

The answer of Solve the equation.
-4z + 12 = 3z...

Question 5

Decide whether the given number is a solution to the equation preceding it.
-

Accepted Answer

The answer of Decide whether the given number is a...

Question 6

Solve the equation.
-3(y + 3) = 4(y - 8)

Accepted Answer

The answer of Solve the equation.
-3(y + 3) = 4(y...

Question 7

Solve the equation.
-10y = 3y + 8 + 6y

Accepted Answer

Combining like terms gives 10y = 9y + 8, which simplifies to y = 8.

Question 8

Solve the equation.
-4(2z - 2) = 7(z + 4)

Accepted Answer

8z - 8 = 7z + 28z = 36

Question 9

Solve the equation.
-

Accepted Answer

The answer of Solve the equation.
-
...

Question 10

Decide whether the given number is a solution to the equation preceding it.
-

Accepted Answer

The answer of Decide whether the given number is a...

Question 11

Decide whether the given number is a solution to the equation preceding it.
-p - 3 = 4; 7

Accepted Answer

Substituting $p = 7$ into the equation $p - 3 = 4$ gives $7 - 3 = 4$, which is true.

Question 12

Solve the equation.
-13(8c - 2) = 4c - 2

Accepted Answer

The answer of Solve the equation.
-13(8c - 2) = 4c...

Question 13

Solve the equation.
--5x + 7(2x - 2) = -1 - 4x

Accepted Answer

The answer of Solve the equation.
--5x + 7(2x - 2)...

Question 14

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation.
-16m + 4 = 2(5m + 29)

Accepted Answer

The answer of Solve the equation. Identify the equation as...

Question 15

Decide whether the given number is a solution to the equation preceding it.
-6y + 9(y - 6) = 81; 9

Accepted Answer

6y + 9(y - 6) = 816y + 9y - 54 = 8115y = 135y = 9

Question 16

Decide whether the given number is a solution to the equation preceding it.
-

Accepted Answer

The answer of Decide whether the given number is a...

Question 17

Solve the equation.
-9x - 8x = 17

Accepted Answer

The answer of Solve the equation.
-9x - 8x = 17
...

Question 18

Solve the equation.
--5a + 5 + 6a = 14 - 21

Accepted Answer

Combining like terms on both sides of the equation gives 1a = -7, so a = -7, which is not directly an option. However, the mistake in the calculation was not recognizing that the correct answer, based on the equation simplifying to a = -7, does not match any of the provided options. Therefore, the explanation should correctly address solving the equation: -5a + 5 + 6a = 14 - 21 simplifies to a = -7, indicating an error in the initial response.

Question 19

Decide whether the given number is a solution to the equation preceding it.
-p + 11 = 25; 14

Accepted Answer

Substituting $p = 14$ into the equation $p + 11 = 25$ gives $14 + 11 = 25$, which is true.

Question 20

Solve the equation.
-

Accepted Answer

The answer of Solve the equation.
-
...

Quiz 1: Equations, Inequalities, and Modeling

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -3(8t + 10) = 6(2t + 3)

Decide whether the given number is a solution to the equation preceding it. -7p + 5p - 4 = 32; 3

Decide whether the given number is a solution to the equation preceding it. -9m + 8 = 46; 4

Solve the equation. -4z + 12 = 3z + 4

Decide whether the given number is a solution to the equation preceding it. -

Solve the equation. -3(y + 3) = 4(y - 8)

Solve the equation. -10y = 3y + 8 + 6y

Solve the equation. -4(2z - 2) = 7(z + 4)

Solve the equation. -

Decide whether the given number is a solution to the equation preceding it. -

Decide whether the given number is a solution to the equation preceding it. -p - 3 = 4; 7

Solve the equation. -13(8c - 2) = 4c - 2

Solve the equation. --5x + 7(2x - 2) = -1 - 4x

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -16m + 4 = 2(5m + 29)

Decide whether the given number is a solution to the equation preceding it. -6y + 9(y - 6) = 81; 9

Decide whether the given number is a solution to the equation preceding it. -

Solve the equation. -9x - 8x = 17

Solve the equation. --5a + 5 + 6a = 14 - 21

Decide whether the given number is a solution to the equation preceding it. -p + 11 = 25; 14

Solve the equation. -