7th 5-5 Solve Inequalities with Multiplication and Division

Solve:

15x ≥ −60

• $x\ge4$

• $x\ge-4$

• $x\ge-75$

• $x\le-4$

 $\frac{b}{8}<16$  Solve:

•  $b<128$ 

•  $b<2$ 

•  $b<8$ 

•  $b>128$ 

 $-4b\ >24$  Solve:

•  $b<-6$ 

•  $b<6$ 

•  $b>-6$ 

•  $b>6$ 

 $\frac{b}{-10}\le1.25$  Solve:

•  $b\ge-0.125$ 

•  $b\ge-12.5$ 

•  $b\le-0.125$ 

•  $b\le-12.5$ 

 $-7b\ >28$  Solve:

•  $b<-4$ 

•  $b<4$ 

•  $b>-4$ 

•  $b>4$ 

 $-y\le15$  

Solve:

•  $y\le15$  

•  $y\le-15$  

•  $y\ge-15$  

•  $y\ge15$  

You had a bag of fruit snacks that you shared with 4 friends. Each of you got 175 or fewer fruit snacks. The inequality x ÷ 4 ≤ 175 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag.

• $x\ \ge43.75$

• $x\ \le43.75$

• $x\ \le700$

• $x\ \ge700$

A teacher writes the inequality x ÷ 6< −12 on the board. A student solves the inequality and gets the result x < −2. Which of the following is true?

• The student was correct.

• The student should have​ added, not divided.

• The inequality sign in the result should be >​, not <.

• The student should have​ multiplied, not divided.

A student needs three pieces of wire for a science project. The second piece must be 3 times as long as the first. The third piece must be twice as long as the second. The student has 350 inches of wire to make the three pieces. Write an inequality that represents this situation.

• $x+3x+2x\le350$

• $x+3x+2\left(3x\right)\le350$

• $x+3x+2x<350$

• $x+3x+2\left(3x\right)<350$

A box of hamburgers contains 8 patties. Luna has to buy at least 16 boxes for an upcoming picnic. Write and solve an inequality to describe the number of hamburger patties p that Luna needs to buy.

•  $p\ge16$  

•  $p\ge120$  

•  $p\ge128$  

•  $p>128$