Solving Equations & Inequalities

Solving Equations & Inequalities Review

I can model and solve equations that have variables on both sides of the equal sign. I can write an equation and an inequality to represent a real-world problem.

Fill in the Blanks

Write the equation modeled in the picture

Fill in the Blanks

Write the equation modeled.

Fill in the Blanks

What value of x makes this equation true?

Fill in the Blanks

 $14x-34=11x+29$  

Fill in the Blanks

 $\frac{4}{5}x+8=29+\frac{1}{5}x$  

Fill in the Blanks

 $2.5x+18=3.5x-4$  

Fill in the Blanks

 $-2w-23=13w+22$  

Fill in the Blanks

 $14+\frac{5}{7}k-20=\frac{4}{7}k-4$  

Remember these steps and key words as you match equations to word problems.

Multiple Choice

Which situation can be represented by this equation?

 $7x+1=10x$  

Multiple Choice

Which situation can be represented by this equation?

 $340+5x=650-8x$  

Multiple Choice

• 
  

  $45,000x+2,500x=54,000x+1,500x$
  

• $45,000x+2,500=54,000x+1,500$

• $45,000+2,500x=54,000+1,500x$

• $45,000x+2,500x=54,000x+1,500$

Multiple Choice

• 
  

  $25$
  

• $10$

• $50$

• $75$

Multiple Choice

• 
  

  $3t+350=2.50t+225$
  

• $350t+2.50=225t+3$

• $2.50t+350=3t+225$

• Not Here

Multiple Choice

• 
  

  $148\ \min$
  

• $125\ \min$

• $25\ \min$

• $50\ \min$

Multiple Choice

• 
  

  $18$
  

• $5$

• $15$

• $8$

Refer to these steps and key words as you work through the next problems.

Multiple Choice

At a store each notebook has a cost of x dollars. Which situation can be represented by this inequality?

 $5x<3x+2$  

• The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.

• The cost of 5 notebook is less than the cost of 3 notebooks with a $2-off coupon.

• The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.

• The cost of 5 notebooks is $2 greater than the price of 3 notebooks. 

Multiple Choice

• $2.5v+5<5v$

• $2.5v+5>5v$

• $7.5v<5v$

• $7.5v>5v$

Multiple Choice

• $3.5+25x<7.5+17x$

• $3.5+25x>7.5+17x$

• $3.5x+25<7.5x+17$

• $3.5x+25>7.5x+17$

Multiple Choice

• $30x<330+50x$

• $50x>330+30x$

• $30x>330+50x$

• $50x<330+30x$