7.EE.4 - Write and Solve Equations

Three desks and a bookcase together weigh 157 pounds. The bookcase weighs 34 pounds. Which equation could help me find out how much each desk weighs?

• 34 + 3 = 157
• 34x + 3 = 157
• 3x + 34 = 157
• x + 34 = 157

2. Cheryl gets paid $8 per hour for her job at the record store.  She made a total of $96 last week.  Which equation models this situation?

• 96h = 8
• h/96 = 8
• 8h = 96
• h/8 = 96

Which choice models this situation?
Robyn had some video games, then bought 4 more.  Now she has a total of 10 games.

• v - 4 = 10
• v + 4 = 10
• 10/4 = v
• 4v = 10

Gina is building a brick wall. Each row of bricks is 6.5cm tall except that the top row is 1cm shorter because it has no mortar. She wants the wall to be 259cm tall.

Which equation can we use to determine  $r$ , the number of rows of bricks Gina needs in her wall? 

• $6.5\left(r-1\right)=259$

• $6.5r-1=259$

• $6.5r-r=259$

• $6.5\left(r-1\right)+1=259$

Carly tried to solve an equation step by step.
 $-4\left(7j+2\right)=10$  
Find Carly's mistake.

Step 1      $7j+2=-40$  
Step 2              $7j=-42$  
Step 3                  $j=-6$  

• Step 1

• Step 2

• Step 3

• Carly didn't make a mistake.

Which equation matches this situation?

Diego is saving money for concert tickets to Lil' Big Mac, which cost $120. He already has $46 saved and earns $15 per hour at his job. Which equation determines how many hours Diego needs to work in order to buy the concert tickets?

• 46 + 120 = 15x

• 15x + 46 = 120

• 120 = 46x - 15

• 120 = 46x = 15

Which equation fits this situation?

A group of adults plus one child go to the movies. Tickets for adults are $8 and tickets for children are $6. The total cost for the movie is $54.

• 8 + 6x = 54

• 8x - 6 = 54

• 54 = 8x + 6

• 54 = 8 + 6x

-5 ( x - 3 ) = 60

• 5

• -7

• 45

• -9

Solve:
3(x - 2) = 18

• 6.7
• 4
• 8
• -4

Identify the constant and variable in the equation: 2y - 8 = 12

• y and -8

• y and 12

• 2 and -8

• 8 and 12