TNReady Review 7.EE.A

What property allows the expression $4.7x+10.4+15.3x-8.4x+15.6$ to be simplified to the equivalent expression  $20x+10.4-8.4x+15.6$ ? 

• Additive inverse property

• Associative property of addition

• Commutative property of addition

• Commutative property of multiplication

Which of the following correctly uses the additive inverse property?

• $-\frac{2}{3}x-\frac{2}{3}x-\frac{4}{5}y=0-\frac{4}{5}y$

• $5\left(x-3\right)=5x-15$

• $\frac{7}{2}x-\frac{1}{2}y+\frac{1}{2}y=\frac{7}{2}x+0$

• $\left(\frac{1}{3}x+\frac{5}{4}y\right)+\frac{3}{4}y=\frac{1}{3}x+\left(\frac{5}{4}y+\frac{3}{4}y\right)$

Which of the following uses the associative property of addition to simplify?

Choose all that apply.

• $\left(\frac{5}{3}x+\frac{8}{5}x\right)-\frac{3}{5}x=\frac{5}{3}x+x$

• $\frac{1}{4}\left(x-11\right)=\frac{1}{4}x=\frac{11}{4}$

• $0.4y+\left(3.6y-0.6\right)=4y-0.6$

• $\frac{4}{5}\times\frac{5}{4}x+\frac{12}{5}=x+\frac{12}{5}$

• $7.8x-1.3-1.8x=6x-1.3$

Select each property that can be used to simplify $\frac{4}{5}y+3\left(\frac{2}{5}x+\frac{7}{5}y\right)$  to  $5y+\frac{6}{5}x$  

• Associative property of addition

• Associative property of multiplication

• Commutative property of addition

• Commutative property of multiplication

• Distributive property

Which of the following equations represents that "y decreased by 35%" is the same as "0.65 times y"?

• $\frac{y}{0.35y}=0.65y$

• $y-0.35y=0.65y$

• $y+0.65y=0.35y$

• $y+0.35y=0.65y$

Which of the situations described below can be modeled by the equation $n+0.5n-0.3n=1.2n$ , where n is the number of nickels originally in the jar? 

• Amanda takes out 50% of the nickels in the gar on Friday and adds a number of nickels that is equal to 30% of the remaining number of nickels in the jar on Monday. There are 20% fewer nickels in the jar after Monday than before Friday.

• Amanda takes out 50% of the nickels in the jar on Friday and adds a number of nickels that is equal to 30% of the original number of nickels in the jar on Monday. There are 20% fewer nickels in the jar after Monday than before Friday.

• Amanda adds 50% of the original number of nickels to the jar on Friday. The number of nickels Amanda takes out on Monday is equal to 30% of the new number of nickels.. There are 20% more nickels in the jar after Monday than before Friday.

• Amanda adds 50% of the original number of nickels to the jar on Friday. The number of nickels Amanda takes out on Monday is equal to 30% of the original number of nickels. There are 20% more nickels in the jar after Monday than before Friday.

Choose the equation below that correctly shows how to rewrite an expression that represents the cost for a pair of shoes that is marked down 20% of the regular price r when the sales tax is 5% of the markdown price.

• $1.05\left(0.20r\right)=0.21r$

• $1.05\left(r-0.20r\right)=0.84r$

• $1.05r-0.20r=0.85r$

• $1.05\left(r+0.20r\right)=1.26r$

Which of the following expressions represent the sum of the areas of the triangles shown in the image?

• $6\cdot\frac{1}{2}\left[\left(x+4\right)+\left(x-2\right)\right]$

• $6\ \frac{1}{2}\left[\left(x+4\right)+\left(x-2\right)\right]$

• $3\left[\left(x+4\right)+\left(x-2\right)\right]$

• $3\left(2x+2\right)$

• $12x+12$

A rectangle has a length of 8 feet and a width of 6 feet. If it's length and width increase by 50% each, what is the area of the new rectangle?

• 24 square feet

• 48 square feet

• 72 square feet

• 108 square feet

A hot air balloon is at an elevation of 3,800 feet. If the balloon falls 40 feet per minute, how long would it take for the balloon to reach 2,000 feet?

• 45 minutes

• 50 minutes

• 95 minutes

• 145 minutes