5-6/5-7 Adding Subtracting Expressions

5-6/5-7 Adding Subtracting Expressions

You need: Paper & Pencil

Example 1

Delilah signs up for a health club with an initial fee of $65 and monthly fee of $40. She also signs up at a rock-climbing gym with an initial fee of $80 and monthly fee of $50. What expression represents her total fitness cost after m months?

Multiple Choice

Megan and Dan bought two cars, a Toyota and a Honda. To buy the Toyota, they put down a one time deposit of $2,000 and pay $300 per month. For the Honda, they put down a one time deposit of $3,000 and pay $250 per month. Write an expression to represent Megan and Dan's total cost for both cars after m months.

• 50+1000m

• 1000+50m

• 550+5000m

• 5000+550m

Multiple Choice

Joel spent $28 for an Internet data service and pays $4.50 per week. He spent $24.50 to join an online movie streaming site and pays $3.25 per week. Write an expression to represent Joel's total cost for both memberships after w, weeks.

• 42.50+8.25w

• 33.50+5.50w

• 52.50+7.75w

• 64.50+9.35w

Open Ended

Dillon says that 4b and -2b are not like terms because 4b is positive and -2b is negative. Is he correct? Explain.

Multiple Choice

Felipe is going to plant b sunflower seeds in one garden and 5b+10 sunflower seeds in another. How many seeds is Felipe going to plant altogether?

• 4b+10

• 6b+10

• 15b

• 16b

Multiple Choice

Liana is going to plant 3x sunflower seeds in one garden and 4x+2 sunflower seeds in another. How many seeds is Liana going to plant altogether?

• 9x

• 6x

• x+2

• 7x+2

Example 2

An architectural engineer is sketching up the plan of a rectangular floor. The top and bottom side of the floor each have the length x, whereas the other two sides each have the length 2x+1. Write an expression to represent the perimeter of all four sides.

Multiple Choice

The width of a rectangle is 5x-3 feet and the length is x+2 feet. Find the perimeter of the rectangle.

• 12x-2

• 10x-1

• 8x-2

• 4x+5

Example 3

An company is making a rug that is shaped as a triangle. The length of the bottom of the triangle is x. Another side is 2 more than four times the length of the bottom of the triangle. The last side is 3 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.

Multiple Choice

Nina has x coins. Clayton has 5 fewer coins than six times the number of coins Nina has. Write an expression for the total number of coins Nina and Clayton have altogether. Then simplify the expression.

• 4x+1

• 5x-2

• 7x-5

• 8x+3