Question 1

Simplify by combining like terms. 4x + 14x² - 9x - 5x²

Accepted Answer

To combine like terms, we add or subtract their coefficients. 4x - 9x = -5x 14x² - 5x² = 9x² Therefore, the simplified expression is: -5x + 9x² which is equivalent to 9x² - 5x. The correct answer is (C).

Question 2

Translate the phrase into an algebraic expression.
the difference between a number and two is squared

Accepted Answer

The answer of Translate the phrase into an algebraic expression.
the...

Question 3

Evaluate without a calculator, using the order of operations.

Accepted Answer

The answer of Evaluate without a calculator, using the order...

Question 4

Evaluate 4x - 2y given x = 3 and y = -1.

Accepted Answer

The answer of Evaluate 4x - 2y given x =...

Question 5

Evaluate 4x²y given x = -3 and y = 5.

Accepted Answer

The answer of Evaluate 4x²y given x = -3 and...

Question 6

Rewrite the expression using the associative property of multiplication and simplify if possible.

Accepted Answer

The answer of Rewrite the expression using the associative property...

Question 7

Translate the phrase into an algebraic expression.
five times the sum of a number and six, decreased by four

Accepted Answer

The answer of Translate the phrase into an algebraic expression.
five...

Question 8

Create a mathematical model using descriptive variables.
The speed of the truck was three miles per hour more than the speed of the car.

Accepted Answer

The answer of Create a mathematical model using descriptive variables.
The...

Question 9

Identify the number of terms in the expression and the coefficient of each term. -5x² + x - 6

Accepted Answer

The answer of Identify the number of terms in the...

Question 10

Create the indicated algebraic expression. Use descriptive variables. The length of a rectangular lawn is 8 ft more than three times the width of the lawn. Express the length of the lawn in terms of the width.

Accepted Answer

Let the width of the lawn be represented by "w". Then, according to the problem, the length of the lawn can be expressed as "8 ft more than three times the width of the lawn", which can be written as: 3w + 8. Therefore, the correct choice is D.

Question 11

Evaluate 3y² + 4y - 5 given y = -5.

Accepted Answer

The answer of Evaluate 3y² + 4y - 5 given...

Question 12

Translate the phrase into an algebraic expression. seven less than twice a number

Accepted Answer

"Twice a number" can be represented as 2n, and "seven less than" can be represented as -7. Therefore, the phrase "seven less than twice a number" can be written as 2n - 7, which is option D.

Question 13

Evaluate  given y = -5.

Accepted Answer

The answer of Evaluate  given y = -5....

Question 14

Simplify by combining like terms.
-8z - z - 4z

Accepted Answer

The answer of Simplify by combining like terms.
-8z - z...

Question 15

Translate the phrase into an algebraic expression. six fewer than a number

Accepted Answer

"Six fewer than a number" can be translated as "the number minus six," which is represented by the algebraic expression n - 6.

Question 16

Evaluate  given x = 5 and y = -3.

Accepted Answer

Substituting x = 5 and y = -3 into the given expression, we get:

11ea7f29_4f8e_3e45_9ecd_2df7da9ff456_TB3307_11 = 11ea7f29_4f8e_6557_9ecd_edb06c55634e_TB3307_11

Therefore, the correct answer is choice C.

Question 17

Rewrite the expression using the commutative property of addition and simplify if possible.
-9 + 5

Accepted Answer

The answer of Rewrite the expression using the commutative property...

Question 18

Simplify by removing all grouping symbols and combining like terms.
2a + (-8a)

Accepted Answer

The answer of Simplify by removing all grouping symbols and...

Question 19

Simplify by removing all grouping symbols and combining like terms. (10a - 10b + c) - (a - b - 2c)

Accepted Answer

First, distribute the negative sign in the second group: (10a - 10b + c) - a + b + 2c. Then, combine like terms: 10a - a = 9a, -10b + b = -9b, c + 2c = 3c. So, the simplified expression is 9a - 9b + 3c.

Question 20

Evaluate (2x - 3y)² given x = 3 and y = -1.

Accepted Answer

The given expression is (2x - 3y)^6 (since ² translates to a superscript of 6). Substituting x = 3 and y = -1, we get (2*3 - 3*(-1))^6 = (6 + 3)^6 = 9^6 = 531441. However, none of the options match this result, indicating a potential misunderstanding or typo in the question or options. Based on the provided options, none directly match the correct calculation, suggesting a possible error in interpreting the original question or in the provided options.

Quiz 12: Review of Basic Concepts and Skills

Simplify by combining like terms. 4x + 14x² - 9x - 5x²

Translate the phrase into an algebraic expression. the difference between a number and two is squared

Evaluate without a calculator, using the order of operations.

Evaluate 4x - 2y given x = 3 and y = -1.

Evaluate 4x²y given x = -3 and y = 5.

Rewrite the expression using the associative property of multiplication and simplify if possible.

Translate the phrase into an algebraic expression. five times the sum of a number and six, decreased by four

Create a mathematical model using descriptive variables. The speed of the truck was three miles per hour more than the speed of the car.

Identify the number of terms in the expression and the coefficient of each term. -5x² + x - 6

Create the indicated algebraic expression. Use descriptive variables. The length of a rectangular lawn is 8 ft more than three times the width of the lawn. Express the length of the lawn in terms of the width.

Evaluate 3y² + 4y - 5 given y = -5.

Translate the phrase into an algebraic expression. seven less than twice a number

Evaluate given y = -5.

Simplify by combining like terms. -8z - z - 4z

Translate the phrase into an algebraic expression. six fewer than a number

Evaluate given x = 5 and y = -3.

Rewrite the expression using the commutative property of addition and simplify if possible. -9 + 5

Simplify by removing all grouping symbols and combining like terms. 2a + (-8a)

Simplify by removing all grouping symbols and combining like terms. (10a - 10b + c) - (a - b - 2c)

Evaluate (2x - 3y) ² given x = 3 and y = -1.

Quiz 12: Review of Basic Concepts and Skills

Simplify by combining like terms. 4x + 14x2 - 9x - 5x2

Translate the phrase into an algebraic expression. the difference between a number and two is squared

Evaluate without a calculator, using the order of operations.

Evaluate 4x - 2y given x = 3 and y = -1.

Evaluate 4x2y given x = -3 and y = 5.

Rewrite the expression using the associative property of multiplication and simplify if possible.

Translate the phrase into an algebraic expression. five times the sum of a number and six, decreased by four

Create a mathematical model using descriptive variables. The speed of the truck was three miles per hour more than the speed of the car.

Identify the number of terms in the expression and the coefficient of each term. -5x2 + x - 6

Create the indicated algebraic expression. Use descriptive variables. The length of a rectangular lawn is 8 ft more than three times the width of the lawn. Express the length of the lawn in terms of the width.

Evaluate 3y2 + 4y - 5 given y = -5.

Translate the phrase into an algebraic expression. seven less than twice a number

Evaluate given y = -5.

Simplify by combining like terms. -8z - z - 4z

Translate the phrase into an algebraic expression. six fewer than a number

Evaluate given x = 5 and y = -3.

Rewrite the expression using the commutative property of addition and simplify if possible. -9 + 5

Simplify by removing all grouping symbols and combining like terms. 2a + (-8a)

Simplify by removing all grouping symbols and combining like terms. (10a - 10b + c) - (a - b - 2c)

Evaluate (2x - 3y) 2 given x = 3 and y = -1.

Simplify by combining like terms. 4x + 14x² - 9x - 5x²

Evaluate 4x²y given x = -3 and y = 5.

Identify the number of terms in the expression and the coefficient of each term. -5x² + x - 6

Evaluate 3y² + 4y - 5 given y = -5.

Evaluate (2x - 3y) ² given x = 3 and y = -1.