One Step Inequality Quiz Review (7th GradeMath)

One Step Inequality Review (7th GradeMath)

​

An inequality is a mathematical statement that compares two expressions that are not equal

Multiple Choice

Choose the inequality that represents the word sentence;
A number x is less than -5.

• $$x<-5$$  

• $$x>-5$$  

• $$x\le-5$$  

• $$x\ge-5$$  

Multiple Choice

Choose the inequality that represents the word sentence;
A number x is at most -5.

• $$x<-5$$  

• $$x>-5$$  

• $$x\le-5$$  

• $$x\ge-5$$  

Multiple Choice

Choose the inequality that represents the word sentence;
A number x is at least -5.

• $$x<-5$$  

• $$x>-5$$  

• $$x\le-5$$  

• $$x\ge-5$$  

The graph of an inequality shows all the solutions on a numberline.

• An open circle is used when a number is not a solution.

• A closed circle is used when a number is a solution.

• An arrow to the left or right shows that the graph continues in that direction.

Multiple Choice

Choose the inequality that represents the graph.

• $$x<-2$$

• $$x>-2$$

• $$x\le-2$$

• $$x\ge-2$$

Multiple Choice

Choose the inequality that represents the graph.

• $$x<-4$$

• $$x>-4$$

• $$x\le-4$$

• $$x\ge-4$$

Multiple Choice

Choose the inequality that represents the graph.

• $$x<12$$

• $$x>12$$

• $$x\le12$$

• $$x\ge12$$

Multiple Choice

Choose the graph that best represents the graph

• $$x<-2$$

• $$x>-2$$

• $$x\le-2$$

• $$x\ge-2$$

To see if a given number is one one the solutions to an inequality;

• substitute the given value for the variable.

• evaluate and see if the inequality is true.

Multiple Choice

See if the given value is a solution to the inequality.

$$x+2\ge-3;\ x=-4$$  

• Yes, solution

• No, not a solution

Multiple Choice

See if the given value is a solution to the inequality.

$$x+5>6;\ x=-10$$  

• Yes, solution

• No, not a solution

Multiple Choice

See if the given value is a solution to the inequality.

$$x-9\le-18;\ x=3$$  

• Yes, solution

• No, not a solution

Multiple Choice

See if the given value is a solution to the inequality.

$$\frac{x}{5}>7;\ x=30$$  

• Yes, solution

• No, not a solution

To solve an inequality, use inverse operations.

• If a number is being added to a variable, then subtract (or add the opposite) to both sides.

• If a number is being subtracted from a variable, then add the number to both sides.

• If the variable is being divided by a positive number, multiply the number to both sides.

• If the variable is being multiplied by a positive number, divide the number on both sides.

• If you multiply or divide both sides of an inequality with the same negative number, reverse the inequality symbol!

Multiple Choice

Solve

$$x+8<2$$  

• $$x<-6$$  

• $$x<6$$  

• $$x<10$$  

• $$x<-10$$  

Multiple Choice

Solve

$$x-15\le7$$  

• $$x\le-8$$  

• $$x\le8$$  

• $$x\le22$$  

• $$x\le-22$$  

Multiple Choice

Solve

$$\frac{x}{3}\ge-4$$  

• $$x\ge12$$  

• $$x\ge-12$$  

• $$x\ge-\frac{4}{3}$$  

• $$x\ge\frac{4}{3}$$  

Multiple Choice

Solve

$$5x>-15$$  

• $$x>75$$  

• $$x>-75$$  

• $$x>3$$  

• $$x>-3$$  

Multiple Choice

Solve

$$x-12\le-5$$  

• $$x\le-7$$  

• $$x\le7$$  

• $$x\le17$$  

• $$x-17$$  

Multiple Choice

Solve

$$\frac{x}{6}\ge-4$$  

• $$x\ge-\frac{4}{6}$$  

• $$x\ge\frac{4}{6}$$  

• $$x\ge-24$$  

• $$x\le24$$  

Multiple Choice

Solve

$$6x>48$$  

• $$x>8$$  

• $$x>-8$$  

• $$x>288$$  

• $$x>-288$$  

Multiple Choice

Solve

$$-2x\le-14$$  

• $$x\le7$$  

• $$x\ge7$$  

• $$x\le28$$  

• $$x\ge28$$  

Multiple Choice

Solve

$$\frac{x}{-3}>9$$  

• $$x<-27$$  

• $$x>-27$$  

• $$x<-3$$  

• $$x>-3$$