Unit 4 Review

Unit 4 Review

Are you ready?

Equations and Inequalities

match the symbol to the proper phrases

Multiple Select

Check all the phrases that represent                                    

$$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =$$  

• at least

• equal to

• same

• over

Multiple Select

Check all the phrases that represent

$$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ <$$  

• at least

• less than

• fewer than

• no more than

Multiple Select

Check all the phrases that represent

$$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ >$$  

• at least

• less than

• exceeds

• is more than

Multiple Select

Check all the phrases that represent

$$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ge$$  

• at least

• less than

• no less than

• no more than

Multiple Select

Check all the phrases that represent

$$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \le$$  

• at most

• greater than

• no more than

• less than

Writing Equations

I can write an equation to represent a word problem

Multiple Choice

Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $100. City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70. Write an equation to find the number of square yards of carpeting for which the total cost charged by the two companies will be the same.

• 25x + 100 = 22x + 70

• 22x + 100 = 25x - 70

• 25x+100 = 22x + 70

• 22x + 100 = 25x + 70

Multiple Choice

Kim starts with $500 and spends $15 per week. Her brother Roy starts with $800 and spends $35 per week. Write an equation that shows when Kim and Roy will have the same amount of money. Use w as your variable. (No spaces)

• 500+15w=800+35w

• 500+15w<800+35w

• 500-15w=800-35w

• 500-15w<800-35w

Multiple Choice

Peppy Pets charges a flat fee of $15 plus $3 an hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus a $1 per hour. Write an equation that best represents this situation. (No spaces.)

• 15+3x=21+x

• 15x+3=21x+1

• 15+3x=21-x

• 15-3x=21-x

Multiple Choice

Which ordered pair represents the solution to both equations?

• (-4,0)

• (-3,3)

• (3,-3)

• (0,4)

Multiple Choice

On which day does it appear that Frank and Erica will have the same number of ribbons left to sell?

• Day 15

• Day 48

• Day 33

• Day 18

Writing Inequalities

I can write an inequality to represent a word problem. 

Multiple Choice

A small kite starts at 7.3 meters off the ground and rises at 2.6 meters per second. A large kite starts at 12.4 meters off the ground and rises at 1.5 meters per second. Write an inequality that shows when the larger kite is lower than the small kite.

• 7.3 + 2.6x = 12.4 + 1.5x

• 7.3 + 2.6x > 12.4 + 1.5x

• 7.3 + 2.6x < 12.4 + 1.5x

Fill in the Blanks

Kim starts with $500 and spends $15 per week. Her brother Roy starts with $800 and spends $35 per week. Write an inequality that shows that Kim has less than Roy. Use w as the variable.

Multiple Choice

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

• 25-2.5d > 50-3.25d

• 25-2.5d < 50-3.25d

• 25+2.5d > 50+3.25d

• 25+2.5d < 50+3.25d

Poll

How do you feel about writing equations and inequalities?

• Easy stuff!

• It's ok.

• Not so great.

Solving Equations

I can solve equations with variables on both sides of the equal sign. 

Multiple Choice

• 3

• 8

• 6

• 4

Multiple Choice

Solve for x.                            $$9+\frac{3}{4}x=\frac{7}{8}x-10$$  

• 21

• 123

• 152

• 17

Multiple Choice

$$Solve\ for\ a.\ \ \ \ \ \ \ -0.8a-8=0.2a$$  

• 0

• -8

• 12

• -1.6

Fill in the Blanks

Peppy Pets charges a flat fee of $15 plus $3 an hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus a $1 per hour. For how many hours is the total fee charged by the companies the same?

Multiple Choice

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 6

• 9

• 2

• 14

Multiple Choice

Solve for x.                            $$5+\frac{5}{6}x=\frac{x}{3}-1$$  

• 21

• -12

• -21

• 12

Multiple Choice

Solve for x.                            0.75x − 18.50 = 0.65x

• 185

• 100

• 172

• 46

Poll

How do you feel about solving equations?

• Easy peasy!

• I get some of it.

• It's complicated.

Matching Equations to Word Problems

I can write a word problem when given an equation.

Multiple Choice

Which situation can be represented by the following equation? 50x + 100 = 100x + 50

• Heather has 100 types of yarn and she loses 50 types of yarn every month. Susan has 50 types of yarn and she gains 100 types of yarn every month. How many months, x, will it take for Heather and Susan to have the same amount of yarn?

• Heather has 100 types of yarn and she loses 50 types of yarn every month. Susan has 50 types of yarn and she loses 100 types of yarn every month. How many months, x, will it take for Heather and Susan to have the same amount of yarn?

• Heather has 100 types of yarn and she gains 50 types of yarn every month. Susan has 50 types of yarn and she loses 100 types of yarn every month. How many months, x, will it take for Heather and Susan to have the same amount of yarn?

• Heather has 100 types of yarn and she gains 50 types of yarn every month. Susan has 50 types of yarn and she gains 100 types of yarn every month. How many months, x, will it take for Heather and Susan to have the same amount of yarn?

Multiple Choice

Select the situation that could be modeled by  $$12+5x=18+3x$$  

• Derek charges a base fee of $12 to walk a dog plus $5 per hour. Darla charges a base fee of $3 plus $18 an hour to walk a dog. After how many hours would they make the same amount of money?

• Derek charges a base fee of $5 to walk a dog plus $12 per hour. Darla charges a base fee of $18 plus $3 an hour to walk a dog. After how many hours would they make the same amount of money?

• Derek charges a base fee of $5 to walk a dog plus $12 per hour. Darla charges a base fee of $3 plus $18 an hour to walk a dog. After how many hours would they make the same amount of money?

• Derek charges a base fee of $12 to walk a dog plus $% per hour. Darla charges a base fee of $18 plus $3 an hour to walk a dog. After how many hours would they make the same amount of money?

Matching Inequalities to Word Problems

I can write a word problem when given an inequality.

Multiple Choice

Which situation can be represented by the following inequality? 25 – 2x ≥ 10 + x

• Adam has 25 customers but he loses 2 customers every year. Bert has 10 customers and he gains one customer every year. How many years, x, will Adam have as many or more customers than Bert?

• Adam has 25 customers but he loses 2 customers every year. Bert has 10 customers and he gains one customer every year. How many years, x, will Bert have as many or more customers than Adam?

• Adam has 25 customers but he loses 2 customers every year. Bert has 10 customers and he gains one customer every year. How many years, x, will Adam more customers than Bert?

• Adam has 25 customers and he gains 2 customers every year. Bert has 10 customers and he gains one customer every year. How many years, x, will Adam have as many or more customers than Bert?