Refer to our Texas Go Math Grade 6 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 6 Module 11 Quiz Answer Key.

## Texas Go Math Grade 6 Module 11 Quiz Answer Key

**Texas Go Math Grade 6 Module 11 Ready to Go On? Answer Key**

**11.1 Modeling Equivalent Expressions**

**Write each phrase as an algebraic expression.**

Question 1.

p divided by 6 _________________

Answer:

Solution to this example is given below

p divided by 6. The operation is division. (Final solution)

The algebraic expression is \(\frac{p}{6}\)

\(\frac{p}{6}\)

Question 2.

65 less than j _________

Answer:

Solution to this example is given below

65 less than j. The operation is subtraction. (Final solution)

The algebraic expression is j – 65

j – 65

Question 3.

the sum of 185 and h _________

Answer:

The algebraic expression for the given statement: the sum of 185 and h is h + 185.

Question 4.

the product of 16 and g _____

Answer:

The algebraic expression for the given statement: the product of 16 and g is 16 × g = 16g,

16 × g = 16g

Question 5.

Let x represent the number of television show episodes that are taped in a season. Write an expression for the number of episodes taped in 4 seasons. _____________________

Answer:

The number of television show episodes that are taped in a season are x so in 4 seasons, there will be x × 4 = 4x episodes. There will be 4x episodes in 4 seasons.

**11.2 Evaluating Expressions**

**Evaluate each expression for the given value of the variable.**

Question 6.

8p; p = 9 _________________

Answer:

Solution to this example is given below

8p; p = 9

8(9) Substitute 9 for p

72 Multiply

When p = 9, 8p = 72

72 Final solution

Question 7.

11 + r; r = 7 _____

Answer:

Solution to this example is given below

11 + r; r = 7

11 + 7 Substitute 7 for r

18 Add

When r = 7, 11 + r = 18

18 Final solution

Question 8.

4(d + 7); d = -2 ___________

Answer:

Simplify the expression

= 4 (-2 + 7) substitute for the value of d

= 4(5) perform the operation inside the parenthesis then multiply

= 20

The value of the expression is 20.

Question 9.

\(\frac{-60}{m}\); m = 5 __________

Answer:

Solution to this example is given below

\(\frac{-60}{m}\); m = 5

\(\frac{-60}{5}\) Substitute 5 for m

-12 Divide

When m = 5, \(\frac{-60}{m}\) = -12

12 Final solution

Question 10.

To find the area of a triangle, you can use the expression b × h ÷ 2, where b is the base of the triangle and h is its height. What is the area of a triangle with a base of 6 and a height of 8? _______________________

Answer:

Solution to this example is given below

b × h ÷ 2; b = 6, h = 8

6 × 8 ÷ 2 Substitute 6 for b, and 8 for h

48 ÷ 2 Multiply

24 Divide

When b = 6, h = 8 b × h ÷ 2 = 24

Area of the triangle is 24 square units

24 Final solution

**11.3 Generating Equivalent Expressions**

Question 11.

Draw lines to match the expressions in List A with their equivalent expressions in List B.

Answer:

a. of List B: Given expression:

7(1 + x)

Apply distributive property of multiplication to expand the parentheses:

= 7 + 7x

This is equal to b of List A.

c. of List B: Given expression:

7(x + 2)

Apply distributive property of multiplication to expand the parentheses:

= 7x + 14

This is equal to a of List A.

c. of List A: Given expression:

7(x – 1)

Apply distributive property of multiplication to expand the parentheses:

= 7x – 7

This is equal to b of List B

**Essential Question**

Question 12.

How can you determine if two algebraic expressions are equivalent?

Answer:

Problems involving equivalent expressions are solved using the rules of algebra. If 2 expressions are equivalent then they are identical in their simplified form.

**Texas Go Math Grade 6 Module 11 Mixed Review Texas Test Prep Answer Key**

**Selected Response**

Question 1.

Which expression represents the product of 83 and x?

(A) 83 + x

(B) 83 ÷ x

(C) 83x

(C) 83 – x

Answer:

(C) 83x

Explanation:

Product implies multiplication so the product of 83 and x is equal to 83 × x = 83x

Option C.

Question 2.

Which phrase describes the algebraic expression \(\frac{r}{9}\) ?

(A) the product of r and 9

(B) the quotient of r and 9

(C) 9 less than r

(D) r more than 9

Answer:

(B) the quotient of r and 9

Explanation:

\(\frac{r}{9}\) is a fraction which implies that r is divided by 9 or the quotient of r and 9

Option B

Question 3.

Rhonda was organizing photos in a photo album. She took 60 photos and divided them evenly among p pages. Which algebraic expression represents the number of photos on each page?

(A) P – 60

(B) 60 – p

(C) \(\frac{p}{60}\)

(D) \(\frac{60}{p}\)

Answer:

(D) \(\frac{60}{p}\)

Explanation:

A total of 60 photos are to be divided equal on p pages imply a problem of division where each page has \(\frac{60}{p}\) photos.

Option D

Question 4.

Using the algebraic expression 4n + 6, what is the greatest whole-number value of n that will give you a result less than 100?

(A) 22

(B) 23

(C) 24

(D) 25

Answer:

(B) 23

Explanation:

Given expression:

4n + 6

According to the given condition, the inequality becomes:

4n + 6 < 100

Solve for n:

4n < 100 – 6

Or

n < \(\frac{94}{4}\)

Simplify:

n < 23.5

Therefore, for n = 23, the value of the expression will be the greatest and less than 100.

Option B

Question 5.

Evaluate 7w – 14 for w = 9.

(A) 2

(B) 18

(C) 49

(D) 77

Answer:

(C) 49

Explanation:

Given expression: 7w – 14

Substitute the value of w:

7(9) – 14

Expand:

= 63 – 14

Evaluate:

= 49

Option (C)

Question 6.

Katie has read 32% of a book. If she has read 80 pages, how many more pages does Katie have left to read?

(A) 40

(B) 170

(C) 200

(D) 250

Answer:

(B) 170

Explanation:

Data:

Portion = 80

Total = x

Percent = 32

Write equation of percentage:

There are 250 pages in the book, 80 of them are read so 250 – 80 = 170 remain to be read.

Option B.

Question 7.

The expression 12(x + 4) represents the total cost of CDs Mel bought in April and May at $12 each. Which property is applied to write the equivalent expression 12x + 48?

(A) Associative Property of Addition

(B) Associative Property of Multiplication

(C) Commutative Property of Multiplication

(D) Distributive Property

Answer:

(D) Distributive Property

Explanation:

The operation in the expression is Multiplication

You can use the Distributive Property of Multiplication to write an equivalent expression: 12(x + 4) = 12x + 48 (This option is correct answer)

D

**Gridded Response**

Question 8.

When traveling in Europe, Bailey converts the temperature given in degrees Celsius to a Fahrenheit temperature by using the expression 9x ÷ 5 + 32, where x is the Celsius temperature. Find the temperature in degrees Fahrenheit when it is 15 °C.

Answer:

Determine the temperature in degrees Fahrenheit

= 9(15) ÷ 5 + 32 substitute for the value of x then multiply

= 135 ÷ 5 + 32 divide 135 by 5

= 27 + 32 add the numbers

= 59 temperature in degrees Fahrenheit

The answer in the grid must be 59.00.