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 12 Quiz Answer Key.

## Texas Go Math Grade 6 Module 12 Quiz Answer Key

**Texas Go Math Grade 6 Module 12 Ready to Go On? Answer Key**

**12.1 Writing Equations to Represent Situations**

**Determine whether the given value is a solution of the equation.**

Question 1.

p – 6 = 19; p = 13

Answer:

Solution or not

13 – 6 = 19 substitute for the value of p

7 ≠ 19 13 is not a solution

The given vaIue of 13 is not a solution to the equation.

Question 2.

62 + j = 74; j = 12.

Answer:

Solution or not

62 – 12 = 74 substitute for the value of j

74 = 74 12 is a solution

The given value of 12 is a solution for the equation.

Question 3.

\(\frac{b}{12}\) = 5; b = 60.

Answer:

Solution to this example is given below

\(\frac{b}{12}\) = 5; b = 60

\(\frac{60}{12}\) = 5 Substitute 60 for b

5 = 5 Divide.

60 is a solution of \(\frac{b}{12}\)

b = 60

Question 4.

7w = 87; w = 12

Answer:

Solution to this example is given below

7w = 87; w = 12

17(12) = 87 Substitute 12 for w

84 = 87 Multiply.

12 is a not of solution of the equation 7w = 87

w ≠ 12

Question 5.

18 – h = 13; h = -5.

Answer:

Solution or not

18 – (-5) = 13 substitute for the value of h

18 + 5 = 13 add the numbers

23 ≠ 13 -5 is not a solution

The given value of -5 is not a solution for the equation.

Question 6.

6g = -86; g = -16

Answer:

Solution or not

6 (-16) = -86 substitute for the value of g

-96 ≠ 86 -16 is not a solution

The given value of 16 is not a solution for the equation.

**Write an equation to represent the situation.**

Question 7.

The number of eggs in the refrigerator e decreased by 5 equals 18.

Answer:

The total eggs were e and they decreased by 5 to reduced to 18, so the equation of the situation becomes: e – 5 = 18

Question 8.

The number of new photos p added to the 17 old photos equals 29.

Answer:

Equation:

p + 17 = 29

where:

p is the number of new photos

17 is the number of old photos

29 is the total number of photos

**12.2 Addition and Subtraction Equations**

**Solve each equation.**

Question 9.

r – 38 = 9

Answer:

SoLution to this example is given below

r – 38 = 9

r – 38 + 38 = 9 + 38 Add 38 to both sides

r = 47 Simplify

r = 47

Question 10.

h + 17 = 40

Answer:

Solution to this example is given below

h + 17 = 40

h + 17 – 17 = 40 – 17 Subtract 17 to both sides

h = 23 Simplify

h = 23

Question 11.

n + 75 = 155

Answer:

Given equation:

n + 75 = 155

Add -75 on both sides of the given equation to isolate the variable on 1 side of the equation:

n + 75 – 75 = 155 – 75

Simplify to evaluate the variable:

n = 80

Question 12.

q – 17 = 18

Answer:

Solution to this example is given below

q – 17 = 18

q – 17 + 17 = 18 + 17 Add 17 to both sides

q = 35 Simplify

q = 35

**12.3 Multiplication and Division Equations**

**Solve each equation.**

Question 13.

8z = 112

Answer:

Given equation:

8z = 112

Divide both sides of the given equation with 8 to isoLate the variable on 1 side of the equation:

\(\frac{8z}{8}\) = \(\frac{112}{8}\)

Simplify to evaluate the variable:

z = 14

Question 14.

\(\frac{d}{14}\) = 7

Answer:

Solution to this example is given below

Question 15.

\(\frac{f}{28}\) = 24

Answer:

Solution to this example is given below

Question 16.

3a = 57

Answer:

Solution to this example is given below

**Essential Question**

Question 17.

How can you solve problems involving equations that contain addition, subtraction, multiplication, or division?

Answer:

For explaining this question, lets consider an equation: 2x + 9 = 15 The first step to solve this equation will be to shift all the contents to the non variable side of the equation. This is done by adding 9 to both sides of the equation so the equation transforms to 2x = 15 – 9 = 6. The next step to change the coefficient of x to 1. This is done by dividing both sides of the equation with 2, so the equation transforms to x = \(\frac{6}{2}\) = 3. This is the solution of the equation.

**Texas Go Math Grade 6 Module 12 Mixed Review Texas Test Prep Answer Key**

**Selected Response**

Question 1.

Kate has gone up to the chalkboard to do math problems 5 more times than Andre. Kate has gone up 11 times. Which equation represents this situation?

(A) a – 11 = 5

(B) 5a = 11

(C) a – 5 = 11

(D) a + 5 = 11

Answer:

(D) a + 5 = 11

Explanation:

Let Andre’s turns be a and Kate has had 5 more turns so the equation to represent the number of Kates turns becomes: a + 5 = 11.

Question 2.

For which equation is y = 7 a solution?

(A) 7y = 1

(B) y – 26 = -19

(C) y + 7 = 0

(D) \(\frac{y}{2}\) = 14

Answer:

(B) y – 26 = -19

Explanation:

(A) 7 – (7) = 1 substitute for the value of y

49 ≠ 17 is not a solution

(B) 7 – 26 = – 9 substitute for the value of y

-19 = -19 7 is a solution

(C) 7 + 7 = 0 substitute for the value of y

14 ≠ 0 7 is not a solution

(D) \(\frac{7}{2}\) = 14 substitute for the value of y

3.5 ≠ 14 7 is not a solution

The equation (B) y – 26 = -19 shows that the value of 7 is a solution.

Question 3.

Which is an equation?

(A) 17 + x

(B) 45 ÷ x

(C) 20x = 200

(D) 90 – x

Answer:

(C) 20x = 200

Explanation:

An equation is presented by 2 different expressions equated with each other by an equal to sign, therefore option C shows an equation.

Question 4.

The number line below represents which equation?

(A) -4 + 7 = 3

(B) -4 – 7 = 3

(C) 3 + 7 = -4

(D) 3 – 7 = -4

Answer:

(D) 3 – 7 = -4

Explanation:

The arrow started at 3 and moved to the left 7 gaps and ended at -4. Therefore the equation for the number line is 3 – 7 = -4.

Question 5.

Becca hit 7 more home runs than Beverly. Becca hit 21 home runs. How many home runs did Beverly hit?

(A) 3

(B) 14

(C) 21

(D) 28

Answer:

(B) 14

Explanation:

Let Beverly runs be a and Becca has hit 7 more runs so the equation to represent Becca’s runs is: x + 7 = 21. Solve this equation for x, therefore: x = 21 – 7 = 14.

Question 6.

Jeordie spreads out a rectangular picnic blanket with an area of 42 square feet. Its width is 6 feet. Which equation could you use to find its length?

(A) 6x = 42

(B) 42 – x = 6

(C) \(\frac{6}{x}\) = 42

(D) 6 + x = 42

Answer:

(A) 6x = 42

Explanation:

The area of a rectangular is the product of its length and width Therefore, 6x = 42 is the equation to be used to evaluate x, the length of the rectangular blanket.

Question 7.

What is a solution to the equation 6t = 114?

(A) t = 19

(B) t = 108

(C) t = 120

(D) t = 684

Answer:

(A) t = 19

Explanation:

Examine each part of the equation.

t is the unknown value you want to find.

6 is multiplied by t.

= 114 means that after multiplying 6 and t, the result is 114.

Use the equation to solve the problem.

6t = 114

\(\frac{6 t}{6}=\frac{114}{6}\) Divide both sides by 6

t = 19 Simplify

A is the option is correct answer.

Question 8.

The area of a rectangular deck is 680 square feet. The deck’s width is 17 feet. What is its length?

(A) 17 feet

(B) 20 feet

(C) 40 feet

(D) 51 feet

Answer:

(C) 40 feet

Explanation:

A = l ∙ w formula for the area of a rectangle

680 square feet = l ∙ 17 feet substitute for the given values

\(\frac{680}{17}=\frac{l \cdot 17}{17}\) divide both sides of the equation by 17

40 feet = l length of the rectangle

The length of the rectangular deck is 40 feet.

**Gridded Response**

Question 9.

Sylvia earns $7 per hour at her after school job. One week she worked several hours and received a paycheck for $91. Write and solve an equation to find the number of hours in which Sylvia would earn $91.

Answer:

Equation:

7x = 91

where:

7 is the amount she earns per hour

x is the number of hours she worked

91 is the total. amount she earned

\(\frac{7 x}{7}=\frac{91}{7}\) divide both sides of the equation by 7

x = 13 number of hours she worked in a week

The answer in the grid is 13.00.