Expressions Review

The expressions below can be simplified. Drag and drop the simplified expressions they are equivalent to.

$$-4\left(x-5x\right)$$ ​ (a)  

$$6x+4x-7x$$ ​ (b)  

$$5x-4\left(x-2\right)$$ ​ (c)  

$$6x+10-2-5x$$ ​ (d)  

Mrs. Eastwood writes the following expressions on the board.

Expression 1: $$-3\left(2y-5x\right)-4x$$

Expression 2: $$11x-6y$$

Mrs. Eastwood asks a student to prove that these expressions are equivalent. Which of the following could the student do? Choose the TWO correct answers.

Genevieve's Boutique is having a discount of 30% on all dresses. Let d represent the original price of any dress in the boutique. Enter an expression that can be used to find the sale price of any dress in the boutique.

(a)  

Matthew found a pair of shoes that had a 25% markdown on it. If the price of the shoes is represented by s, then how much do the shoes cost, (excluding tax)?

Chase is given the expression below to simplify.

$$10x-4+3x+5x+20$$

Which expression is equivalent to Chase's expression?

Simplify:

$$5x+2+\left(-4x\right)+6x-5x$$

Frank is selling pumpkins and gourds at the Farmer's Market that he grew in his garden. He earns $0.85 profit for each pumpkin that he sells and $0.85 profit for each gourd that he sells. Which expression shows Frank's total profits from selling pumpkins (p) and gourds (g) ?

Simplify the expression:

$$8+2\left(x+6\right)$$

Select the expression equivalent to:

$$5\left(x-8\right)+9$$

Which expression is the simplified form of:

$$-11+5x-3x-11x+10x+13+9x$$ ?