7.RP.A.2 Math Practice Questions — Sports Academy Games

Practice playeasy

A passenger train traveled $348$ miles in $4$ hours at a constant speed. What was the train's speed, in miles per hour?

Speed = distance $\div$ time: $\dfrac{348}{4} = 87$ miles per hour.

Practice playeasy

Solve for $n$ : $\dfrac{2}{9} = \dfrac{n}{45}$ .

Cross-multiply: $9n = 90$ , so $n = 10$ .

Practice playeasy

At an animal shelter, the ratio of cats to dogs is $5$ to $8$ . If there are $35$ cats at the shelter, how many dogs are there?

Scale the ratio: $35$ cats is $7$ groups of $5$ , so dogs = $7 \times 8 = 56$ .

Practice playeasy

Solve for $x$ : $\dfrac{4}{32} = \dfrac{6}{x}$ .

Cross-multiply: $4 x = 32 \cdot 6 = 192$ . So $x = 48$ .

Practice playeasy

A cyclist rode $63$ kilometers in $1.5$ hours at a constant speed. What was the cyclist's speed, in kilometers per hour?

Speed = $\dfrac{63}{1.5} = 42$ kilometers per hour.

Practice playeasy

$x$ and $y$ are in the ratio $8$ to $3$ . Given that $y = 45$ , what is $x$ ?

$\dfrac{x}{y} = \dfrac{8}{3}$ . With $y = 45$ , $\dfrac{x}{45} = \dfrac{8}{3}$ , so $3x = 360$ and $x = 120$ .

Practice playeasy

A paint mixture uses red and blue paint in a ratio of $4$ to $7$ . How many ounces of blue paint are needed to mix with $32$ ounces of red paint?

Scale the ratio: $32$ oz red is $8$ groups of $4$ , so blue paint = $8 \times 7 = 56$ ounces.

Practice playeasy

A car travels $390$ miles in $6$ hours. What is the speed in miles per hour?

$390 \div 6 = 65$ miles per hour.

7.RP.A.2 math practice. Learn by doing.