Write an expression equivalent to (6x + 4y) – 2y by combining like terms.

Keep the order of the terms in alphabetical order.

(a)  

Write an expression equivalent to 4a + (–6b) – 3a + 2b by combining like terms.

Keep the order of the terms in alphabetical order.

(a)  

AirPods cost $179 and a subscription to a music streaming

service costs $13.49 per month. The sales tax rate is 7.5%.

The expression 1.075(179.99 + 13.49m) can be used to determine the total

amount of the entire purchase. Expand the expression using the distributive property.

(Keep the order of the terms the same, and round each term to the nearest hundredth.)

(a)  

Use the GCF to factor this expression.

40x + 24y – 56

Keep the order of the terms in alphabetical order.

The constant should be expressed as the last term.

(a)  

This week Alison bought 108 bunches of carnations

and 96 bunches of roses from the supplier.

Let c represent the number of carnations in each bunch,

and let r represent the number of roses in each bunch.

Write an expression to show the total number of flowers that Alison bought.

Keep the order of the terms in alphabetical order.

(a)  

108c + 96r

Alison wants to distribute the carnations and roses equally among the greatest number of flowers shops as possible. Create a factored expression to help Alison determine how many bunches of carnations and how many bunches of roses each flower shop should get?

(a)  

Using the GCF, what is the factored expression for:

$$27x^2+63x-36xy$$

Keep the terms in the order shown.

(a)  

Using the GCF, what is the factored form of 24v – 84?

Keep the terms in the order shown.

(a)  

Use the NEGATIVE GCF to factor the following expression...

–42g + 28h – 70

Keep the terms in the order shown.

(a)  

What is the AREA of the rectangle?

Keep the order of the terms in alphabetical order.

The constant should be expressed as the last term.

(a)  

What is the PERIMETER of the rectangle?

Keep the order of the terms in alphabetical order.

The constant should be expressed as the last term.

(a)  

You earn $9 per hour working at your job as a barista. You must spend $12 per day on an Uber to get you to and from the coffee shop. After collecting your money for the week, you would like to split up your total earnings in as many equal parts as possible.

What factored expression could be used to illustrate how you will split your money?

(Let "h" represent number of hours worked and "d" represent the number of days worked.)

Keep the order of the terms in the order of the problem (hours before days).

(a)  

Use the GCF to factor the expression 21x + 56xy.

(a)  

Combine like terms.

Enter the variable terms in alphabetical order.

The constant should be the final term in the expression.

(a)  

Combine like terms.

Enter the variable terms in alphabetical order.

The constant should be the final term in the expression.

(a)  

Elijah opened a checking account with​ $125 and deposits​ $25 into it every week. He opened another checking account with​ $225 and deposits​ $35 into it every week.

Write a simplified expression to represent how much he will have in both accounts after w weeks.

Write the expression in the order given in the problem (constant first).

(a)  

An art class is making a mural for their school

which has a triangle drawn in the middle.

The length of the bottom of the triangle is (y+4).

Another side is 3 less than 2 times the length of the bottom of the triangle.

The last side is 2 more than the bottom of the triangle.

Write and simplify an expression for the perimeter of the triangle.

Keep the order of the terms in alphabetical order.

The constant should be expressed as the last term.

(a)  

The expression 3.5d+5 represents the number of miles Erin ran last week when she ran 5 miles on Sunday and 3.5 miles each day after Sunday. The expression 2.5d+3 represents the number of miles Luis ran last week when he ran 3 miles on Sunday and 2.5 miles each day after Sunday.

Use a simplified combined expression to find the total number of miles they ran together from Monday through Thursday.

(a)  

A grocery store conducted a survey to determine

which type of fruit its customers prefer.

The table indicates the number of customers

who prefer each type of fruit.

Write a combined expression for the total number of customers who

prefer bananas, apples, or oranges.

Let "c" represent the number of customers.

Keep the order of the terms in alphabetical order.

The constant should be expressed as the last term.

(a)  

What is the sum of the expression below?

(9c – 8d) + (2c – 6) + (–d + 3)

Enter the variable terms in alphabetical order.

The constant should be the final term in the expression.

(a)  

Find the reduced sum in decimal form.

$$\left(\frac{2}{3}q-\frac{3}{4}r\right)+\left(-\frac{1}{6}q+2\ \frac{3}{12}r\right)$$

Keep the order of the terms in alphabetical order.

(a)  

Sabra joins a cooking club for $8.50 and pays $6.25 each month.

She also joins a movie club for $12 and pays $3.75 each month.

Write an expression that represents the total amount of money Sabra spends on both clubs after m months.

Keep the order of the terms in alphabetical order.

The constant should be expressed as the last term.

(a)  

Write an simplified equivalent expression.

(12m + 6) − ​(8 − ​3m)

Keep the order of the terms in alphabetical order.

The constant should be expressed as the last term.

(a)  

Subtract the expressions.

Enter the variable terms in alphabetical order.

The constant should be the final term in the expression.

(a)  

A bag of mixed nuts contains only almonds and hazelnuts.

The bag has (2x−5) ​hazelnuts, and (6x+13) nuts in all.

Write a simplified expression that represents

the number of almonds in the bag.

Keep the order of the terms in alphabetical order.

The constant should be expressed as the last term.

(a)  

Subtract the difference.

(−9p +​ 7) − ​(−9p + ​3)

(a)  

Subtract ​(7.8−​5.1t) from (2.8−​3.2t).

Write out the combined expression.

Find the difference.

The constant should be the final term in the expression.

(a)  

Subtract the expressions.

​(−4b + 15 − ​7k) − ​(6 + 4b − ​2k)

Enter the variable terms in alphabetical order.

The constant should be the final term in the expression.

(a)  

Kyle earned $11 per hour plus $35 in tips working as a waiter yesterday.

Scottie earned $18 per hour delivering flowers, but had to pay $15 to cover his gas expense.

If Kyle and Scottie worked for the same number of hours yesterday,

what was the difference in Scottie's earnings from Kyle's?

Let h stand for the number of hours worked.

Keep the order of the terms in alphabetical order.

The constant should be expressed as the last term.

(a)  

Barrett is comparing the membership fees for two streaming subscription services. Tidal charges a one-time fee of $75.99 plus $0.65 per downloaded song. Spotify charges a one-time fee of $49.75 plus .50 per downloaded song.

How much does Barrett save by using Spotify instead

of Tidal for his music streaming?

(Let "s" stand for downloaded songs)

Keep the order of the terms as they are expressed in the problem.

(a)  

A student received a coupon for 43​% off the total purchase price at a clothing store.

Let "p" represent the original price of the purchase.

Use the expression below for the new price of the purchase.

Write an equivalent expression by combining like terms.

b−0.43b

(a)  

The area of a rectangular outdoor stage

has been extended on one side.

The entire new area in square meters can be written as

216+72x.

If the width of the stage is 12 feet, what is the length?

Keep the order of the terms as they are expressed in the problem.

(a)  

Ellena is considering a venue for a party. Let g represent the number of​ Ellena's guests.

Each venue charges a booking fee plus a cost per guest.

Ellena wrote the expression (35g + 125) − ​(27g + 75) to represent the difference in cost

of one venue over the other. What is the difference in cost?

The constant should be the final term in the expression.

(a)  

Alan is building 6 identical​ fenced-in dog pens,

with the dimensions as shown.

Write a simplified expression that represents the

total amount of fencing he will ​need to build all of the pens.

Combine like terms.

The constant should be the final term in the expression.

(a)  

The perimeter of a square box is 12x + 32.

What is the length of each side of the square box?

Keep the order of the terms as they are expressed in the problem.

(a)  

Sly exercises in sets that are each t minutes long.

He does 8 sets of push-ups, 15 sets of pull-ups, and 5 sets of sit-ups.

Use a simplified expression to represent

the total time it takes Sly to exercise.

(a)