Unit 5 Lesson 16: Representing Contexts with Equations

Which equation would represent the situation?

A penguin is standing 4 feet above sea level and then dives down 15 feet. What is its depth?

•  $4\ +\ -15\ =\ x$  

•  $x-4\ =-15$  

•  $-15\ \div x\ =4$  

•  $4\left(-15\right)=x$  

Which equation would represent the situation?

A dolphin is swimming 10 feet below sea level and then jumps up 20 feet.  What is its height at the top of the jump?

•  $-10\ +\ 20\ =\ x$  

•  $-10\ -\ 20=x$  

•  $-10\ \div x\ =20$  

•  $-10\left(20\right)=x$  

Which equation would represent the situation?

A whale was diving at a rate of 3 meters per second.  How long will it take for the whale to get from the surface of the ocean to an elevation of -15 meters at that rate?

•  $-3\ +-15\ =\ x$  

•  $-3\ -\ \left(-15\right)=x$  

•  $x\div\left(-15\right)\ =-3$  

•  $-3\left(x\right)=-15$  

Which equation would represent the situation?

A swimmer dove below the surface of the ocean.  After 5 minutes, she was 120 meters below the surface.  At what rate was she diving?

•  $-120\ +5\ =\ x$  

•  $-120\ -\ 5=x$  

•  $-120\div5\ =x$  

•  $5\left(-120\right)=x$  

A penguin is standing 4 feet above sea level and then dives down 15 feet. What is its depth?

•  $-11\ feet$  

•  $-19\ feet$  

•  $-3.75\ feet$  

•  $-60\ feet$  

A dolphin is swimming 10 feet below sea level and then jumps up 20 feet.  What is its height at the top of the jump?

•  $10\ feet$  

•  $-30\ feet$  

•  $-2\ feet$  

•  $-200\ feet$  

A whale was diving at a rate of 3 meters per second.  How long will it take for the whale to get from the surface of the ocean to an elevation of -15 meters at that rate?

•  $-18\$  

•  $-5$  

•  $18$  

•  $5$  

A swimmer dove below the surface of the ocean.  After 5 minutes, she was 120 meters below the surface.  At what rate was she diving?

•  $-115$  

•  $-125$  

•  $-24$  

•  $-600$  

Is the solution positive or negative?

 $\left(-3.2\right)\left(1.5\right)=a$  

• positive

• negative

Is the solution positive or negative?

 $-3.2a\ =1.5$  

• positive

• negative