Thursday 11/13 Lesson 6.1One Step Equations

HW #6.1

Friday 11/14 Lesson 6.2One Step Equations

HW #6.2

Monday 11/17 Lesson 6.3Equations with Rational Numbers

HW #6.3Quiz Tomorrow

Tuesday 11/18 Lesson 6.4Equations with Rational Numbers

Quiz 1-step equations

HW #6.4

Wednesday 11/19 Lesson 6.5Two Step Equations

HW #6.5

Thursday 11/20 Lesson 6.6Two Step Equations

HW #6.6

Friday 11/21 Lesson 6.7Translating Word Problems

HW #6.7Quiz Tomorrow

Monday 11/24 Lesson 6.8 Two Step Word ProblemsQuiz 2-step equations

HW #6.8

Tuesday 11/25 Lesson 6.9Translating Inequalities

HW #6.9

Wednesday 11/26 Lesson 6.10Graphing Inequalities

HW #6.10Take Home Quiz

Thursday 11/27 Happy Thanksgiving!

#6.1 Homework PracticeSolving One-Step Equations Adding & Subtracting

1. Use the algebra tiles to solve the equation x+7=9

x =

2. A model for the equation x+4=9 is shown below.

Which models the solution for the equation?

3. What is the solution of this equation? r+166=720

A. 564 C. 886B. 554 D. 544

4. Solve the equation z−29=76

z =

5. Angela gave 23 books to her younger brother. She had 57 books left. You can solve the equation n−23=57 to find the number of books Angela had before she gave books to her brother. What is the solution to the equation?

A. 39 C. 70B. 34 D. 80

#6.2 Homework PracticeSolving One-Step Equations Multiplying & Dividing

1. Use the algebra tiles to solve the equation 4 x=12

x =

2. Find the solution to the equation 3 x=−15. Use the algebra tiles to help you.

x =

3. Your school has a competition to see who can read the most book sin 126 days. Solve the equation 7w=126to find w, the number of weeks in 126 days.

Where are weeks in 126 days.

4. Which value of y makes this equation true? 18 ∙ y=90

A. 5 C. 108B. 72 D. 25

5. Solve the equation for z. z÷ 8=27

The solution is

#6.3 Homework PracticeSolving One-Step Equations with Rational Numbers

1. In a certain country, there are about 8.0 million people. Of those 1.6 million do not have access to safe drinking water. Solve the equation p+1.6=8.0 to find p, the number of people (in millions) who have access to safe drinking water.

There are million people who have access to safe drinking water. 2. Seth purchased several roses for a total of $11.25 and had $23.50 left over. Use the

equation below to determine the amount of money Seth had before purchasing the roses. x−11.25=23.50

Choose the correct answer below:A. $12.25 C. $34.75B. $35.25 D. $33.753. What number goes into the box to make the equation true?

0.41+¿0.53

A. 0.22 C. 0.31B. 0.12 D. 0.88

4. About 9

10 of a certain planet’s surface is covered with either water or desert. About 3

10 is

covered with water. Solve the equation d+ 310

= 910 to find d , the part of the planet’s

surface covered with desert.

About of the planet’s surface is covered with desert.

5. Of the students in your class 15 prefer apple juice. In total,

920 of the students prefer

apple juice or orange juice. Write an equation to find t, the fraction of students who prefer orange juice. Then solve the equation.

Which equation(s) could you use to find the fraction of students who prefer orange juice? Select all that apply

A. t+ 15= 9

20

B.9

20+d=1

5

C.15+t= 9

20

D. t−15= 9

20

Of the students in your class, prefer orange juice.

#6.4 Homework PracticeSolving One-Step Equations with Rational Numbers

1. A rover on a planet traveled about 1.2 kilometers during its first year exploring. Solve the equation to find the distance, d, in kilometers that the rover would travel at this rate in 2.1 years. d ÷1.2=2.1

The solution of the equation is kilometers.

2. Solve the equation 0.6 m=5.4

The solution of the equation is .

3. A restaurant made a sandwich that had a length of 3.6 meters. The sandwich was then cut into equal lengths that were 0.15 meters each to make smaller sandwiches. Use the equation below to find x, the total number of smaller sandwiches made.

3.6=0.15 x

What was the total number of smaller sandwiches made from the 3.6 meter-long sandwich?

A. 76 C. 3B. 15 D. 24

4. On a certain planet, objects weigh about 25 of what they weigh on Earth. An object weighs 10 2

5

pounds on the planet. Solve the equation for w to find the object’s weight on Earth, in pounds.

25

w=10 25

The object weighs pounds on Earth. 5. Tina and four friends each paid $105 for the camping trip. Tina used the equation below to calculate

the total cost for the trip. What was the total cost of the trip?

15

c=105 Choose the correct answer below.

A. $525 C. $425B. $100 D. $21.00

#6.5 Homework PracticeSolving Two-Step Equations

1. You receive $121 in all for selling paintings. You cold one painting for $26 and the rest for $19 each. Solve the equation below to find x, the number of $19 paintings you sold.

19 x+26=121

You sold of your $19 paintings.2. Kathy is 32 years old. She is 4 years younger than 6 times her daughter’s age. The

equation 6 x−4=32, where x equals her daughter’s age, can be used to find the age of Kathy’s daughter. How old is Kathy’s daughter?

A. 8 years old C. 4 years oldB. 7 years old D. 6 years old3. A customer has $75 to spend on art supplies. With each $9 canvas, she buys a frame. She

buys 5 canvas-frame combinations. Solve the equation below to find x, the number of dollars she can spend on each frame.

5 ( x+9 )=75

She can spend $ on each frame. 4. Use the form below. What is the value of x when p = 4, q = 7 and r = 32?

p ( x+q )=r

Choose the correct answer below.A. x = 0 C. x = 1B. x = 2 D. x = 9

5. A rental car agency charges $220 per week plus $0.25 per mile to rend a car. Solve the equation below to find x, the number of miles you can travel in one week for $405.

220+0.25 x=405

The number of miles you can travel in one week for $405 is .

#6.6 Homework PracticeSolving Two-Step Equations 1. Complete the steps to solve the equation 8 x+16=64

8 x+16=64 Write the original equation

8 x=¿ Apply the Subtraction Property of Equality

x=¿ Apply the Division Property of Equality

2. Solve the following equation6 x−4=32

3. When seven times a number is decreased by 2, the result is 19. Solve the equation 7 n−2=19 to find the number, n.

4. In 2000, the number of federal hazardous waste sites in State X was 10 less than four times the number of sites in State Y. Suppose there were 62 such sites in State X. Solve the following equation to find the number of sites in State Y.

. 4 n−10=62

5. A student solved the equation 4 x+4=24 using algebra tiles. He incorrectly says the solution is 7. What mistake might the student have made?

A. He divided each side by the 1’s instead of multiplying them.B. He added the 1’s to the right side instead of subtracting them.C. He multiplying each side by the 1’s instead of dividing by them.D. He subtracted 1’s from the right side instead of adding them.

#6.7 Homework PracticeWriting Equations

1. Identify which of the following are equations. Check all that apply.

A. n−8 D. 6−3

B. 6+3=9 E. 7 k=21

C. 7 (5−1 )+8 F. y+3=122. Tim says that k+11=18 is an expression. James says that k+11=18 is an equation. Who

is right?

James Tim

Explain ______________________________________________________________

___________________________________________________________________________

3. Write an equation. 5 less than n is 3

A. 5−n=3 C. n−5=3

B. n−3=5 D. n3=5

4. Write an equation that represents this situation.

5 more than r is 10

________________________

5. Kate has 64 marbles. Allison has 42 marbles more than Kate. Write an equation using m, to represent the number of marbles Allison has.

________________________

#6.8 Homework PracticeWriting Two-Step Equations

1. Last night, 6 friends went out to dinner at a restaurant. They split the bill evenly. Each friend paid $13.75. If B represents the total bill in dollars, what equation could you use to find the value of B? Write clue words in the box and show your translation.

= $13.75

A. B−6=13.75

B.B6=13.75

C. b+6=13.75

D. 6 B=13.75

2. A garden contains 110 flowers, each of which is either red or orange. There are 75 orange flowers. If R. represents the number of red flowers in the garden, which equation could you use to find the value of R? Write clue words in the box and show your translation.

110 =

Total Flower

Each Friend paid.

A. R−75=110 C. 75 R=110

B.R

110=75 D. R+75=110

3. At a graduation dinner, an equal number of guests was seated at each of 6 large tables, and 4 late-arriving guests were seated at a smaller table. There were 52 guests in all. If n represents the number of people at each large table, what equation could you use to find the value of n?

= 52

A. 6 n+4=52B. 4 n−6=52C. 4 n+6=52D. 6 n−4=52

4. How would this equation be written in words?

8 x−11=6

A. Eleven less than eight times a number is 6.B. Eight more than eleven times a number is 6.C. Eight less than eleven times a number is 6.D. Eleven more than eight times a number is 6.

5. Which equation can be represented by the following description.

Sixteen more than nine times a number is -4

A. 9 x−16=−4B. 16 x−9=−4C. 9 ( x+16 )=−4D. 16 x+9=−4E. 9 x+16=−4

People at Large Tables

People at Small

Total

#6.9 Homework PracticeTranslating Inequalities Circle the correct inequality based on the given situation:1. Yolanda wants to score at

least 84% on the next history test.

x≤ 84

x≥ 84

2. In NY, teens must be at least 16 years old to obtain a driver’s license.

x<16

x<16

x≥ 16

x≤ 16

3. Mike pays $30 for a ticket to an amusement park. He cannot spend more than $50. How much more than he spend at the park?

x+30<50

x+30 ≤50

4. Kai has $4.99 left on a music download gift card. She has a download costing $1.99 in her online shopping cart. How much money does Kai have left to spend?

x+1.99≤ 4.99

x+1.99>4.99

5. Write a real-world situation that could be represented by x≥ 50.

______________________________________________________________________________

______________________________________________________________________________

#6.10 Homework PracticeTranslating Inequalities

Translate the following real-world situations using inequality symbols, then graph.1. At most, I can spend $35 at

the grocery story.

x ______ $35

2. Kerry weighed less than 100 pounds in middle school.

x ________ 100 pounds

3. The vet said my dog, Duke, should not be over 70 pounds.

x _______70 pounds

Graph the following inequalities on number lines you create. 4. x≥ 84 5. x<16 6. x≤ 13