Week 19: Lesson 1

Week 19: Lesson 1

BLUE students will do this lesson on TUESDAY

SILVER students will do this lesson on Monday

This lesson must be turned in before midnight on Sunday, January 24th, to receive full credit.

Multiple Choice

#1) Mitch has 35 more bouncy balls than Rudy. Rudy has b bouncy balls. Choose the expression that shows how many bouncy balls Mitch has.

• 35 - b

• b

• 35

• b + 35

The word "than" reverses the order.

The word "more" means addition.

It would be 35 + b, EXCEPT the word "than" changes the order, sending the 35 to the end of the expression. The correct answer is b + 35.

Multiple Choice

#2) There are r rows of chairs with 7 chairs in each row. Choose the expression that shows the number of chairs in total.

• 7r

• 7/r

• r-7

• r+7

When you are told how many are in "each" and it asks you for the total, you can skip adding by using multiplication to save time. In this problem, you take the 7 chairs in each row and multiply them by the number of rows (shown by r in this problem). We DO NOT use an X for multiplication. We only write the number and then the variable right after it -- 7r

Multiple Choice

#3) You and four friends plan a surprise party. Each of you contributes the same amount of money m for food. What is the algebraic expression for the total amount of money contributed for food?

• 5m

• 4 + m

• 5 / m

• 4m

Like problem #2, when you see "each" and you need to find the total, you can save time by multiplying. Four friends times the unknown amount of money m will determine the total. We never use X for multiplication in algebra! So it's 4m.

Multiple Choice

#4) Your mom wins $100 on a scratch-off ticket. She wants to split it between you and your sisters. How much will each of you receive if there are c children?

• 100 - c

• 100 + c

• 100/c

• 100c

The word "split" means to divide. So Mom is going to divide $100 by an unknown number of children c. We don't use the division symbol -- use the fraction bar for division when working with algebra. The answer will be 100/c

Multiple Choice

#5) A pizza delivery driver earns $8 an hour and works h hours per day. He also spends $20 a day on gas. How much will the driver earn in one day?

• 8h - 20

• 8h + 20

• 8 + 20

• 8 - 20h

First, you will need to multiply the $8 per hour by the number of hours worked: 8h

Next, you need to subtract the

$20 per day spent on gas: -20

The finished expression will be: 8h-20

Multiple Choice

#6) A man earns x dollars per year. He works 50 weeks during the year. Which expression represents how much he earns each week?

• 50 + x

• 50x

• x /50

• 50 ÷ x

Take the total amount he earns each year (x) and divide it by how many weeks he worked to find out how much he earns for 1 week. Remember: no division symbol!

The expression will be: x/50

Multiple Choice

#7) A cell phone company charges $40 per month plus a $35 activation fee. What is the expression for the total cost for m months?

• 40 - 35m

• 40m - 35

• 40m + 35

• 40 + 35

To find the total cost for any number of months, you will MULTIPLY the cost for 1 month ($40) by the number of months (m): 40m

You then have to add the one-time activation fee of $35: + 35

The final expression will be: 40m+35

Multiple Choice

#8) Matthew is 3 times Brian's age. If x represents Brian’s age, which expression represents the combined age of Matthew and Brian?

• 3x

• 3x + x

• x + 3

• x + x + 3

To find out Matthew's age, you would multiply Brian's age by 3: 3x

The word "combined" means addition, so to find the combined age of both boys you would add both ages together. The correct expression would be 3x + x where 3x represents Matthew's age and x represents Brian's age.

Multiple Choice

#9) Mr. Marcin is making bags of prizes for hardworking students. He has 92 prizes and splits them evenly into b bags. Which expression represents this situation?

•  $92\ +\ b$  
  

•  $92\ -\ b$  

•  $92b$  

• 92/b

"Splits" means Mr. Marcin divided the prizes into bags (b). We use the fraction bar for division, so the expression will be 92/b

Multiple Choice

#10) Last week, Allie made $50 washing cars. This week, she made b times that amount babysitting. Which equation can be used to determine the amount of money, m, Allie made this week?

• 3b = 50

• 50m = b

• m = 50b

Take the amount of money she made last week ($50) and multiply it by b because the problem says she made "b times as much money babysitting". Use m to show what the total of money will be. Remember: no X for multiplication! 50b = m

THE END!!

Thank you for working hard to learn how to write algebraic expressions : )