Literal Equation & Word Problem Review

A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?  

• 60 - 15x = 210 
• 15x - 60 = 210
• 15x + 60 = 210 
• 210 + 15x = 60 

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CCSS.HSA.CED.A.3

Celebrity A has 400 followers on social media and is gaining 75 followers each day. Celebrity B has 1000 followers on social media, but is losing 25 followers a day. How many days will it take them to have the same number of followers?
Choose the correct equation AND the correct interpretation of the answer.

•  $400+75x=1000-25x$  , In 12 days they will have the same number of followers.

•  $400+75x=1000+25x$  ,  In 6 days they will have the same number of followers.

•  $400+25x=1000-75x$  ,  In 12 days they will have the same number of followers.

•  $400-75x=1000+25x$  , In 6 days they will have the same number of followers.

•  $400+75x=1000-25x$  , In 6 days they will have the same number of followers.

Ben and his friend are going to play putt-putt.  At one location, they can pay $2.00 for rentals plus $7.50 per game.  At another location, it would cost $8.00 for rentals plus $6.00 per game.  How many games would they have to play in order for either location to cost the same amount?
Choose the correct equation AND the correct interpretation of the answer.

•  $2+8=7.5x+6x$  , Both locations would cost the same if they played 3 games.

•  $2+7.50x=8+6x$  ,  Both locations would cost the same if they played 4 games.

•  $2+6x=8+7.5x$  ,  Both locations would cost the same if they played 4 games.

•  $2x+7.5=8x+6$  , Both locations would cost the same if they played 25 games.

Solve the equation for y:

 $8x+4y=16$  

• $y=16-8x$

• $y=\frac{-16+8x}{4}$

• $y=\frac{16-8x}{4}$

• $y=12-8x$

Solve the equation for y: 
 $3x+y=17$  

•  $y=17+3x$  

•  $y=17-3x$  

•  $x=\frac{17-y}{3}$  

•  $y=-17+3x$  

Solve the equation $ax+c=R$ , for x.

•  $x=\frac{R+c}{a}$  

•  $ax=R-c$  

•  $x=a\left(R-c\right)$  

•  $x=\frac{R-c}{a}$  

Solve the equation for w. 
 $x=\frac{w}{a}$  

•  $w=\frac{a}{x}$  

•  $w=\frac{x}{a}$  

•  $w=ax$  

•  $x=wa$  

Solve the equation for x:
 $ax-b=c+d$  

•  $x=a\left(c+d+b\right)$  

•  $x=\frac{c+d}{a-b}$   

•  $x=\frac{a}{c+b+d}$  

•  $x=\frac{c+d+b}{a}$  

Solve the equation for y: 
 $5x-y=16$  

•  $-y=5x+16$  

•  $y=5x+16$  

•  $x=5y-16$  

•  $y=5x-16$  

Solve the equation for a. 
 $x=\frac{w}{a}$  

•  $a=\frac{w}{x}$  

•  $a=\frac{x}{w}$  

•  $a=wx$  

•  $ax=w$