Solving Equations and Inequalities

Solving Equations and Inequalities

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Multiple Choice

What is the meaning of $$7x$$ ?

• 7 plus x

• 7 minus x

• 7 times x

• 7 divided by x

Multiple Choice

Addition, subtraction, multiplication and division are called "operations" in a mathematical sentence. What is the opposite operation of subtraction?

• Addition

• Multiplication

• Division

• Squaring

Solving One-Step Equations and Inequalities

To solve the following equations or inequalities, the process takes only one step (or action).

Multiple Select

When solving an equation, the properties of equality allow the equations to be changed by:

• adding the same number to both sides.

• subtracting the same number from both sides.

• multiplying each side by the same number.

• dividing each side by the same number.

Multiple Choice

To solve the equation

$$x-8=21$$ , the best step is to

• add 8 to both sides.

• subtract 8 from both sides.

• multiply both sides by 8.

• subtract 21 from both sides.

Multiple Choice

Solve  $$x-8=21$$ .

• $$x=13$$  

• $$x-29=0$$  

• $$x=29$$  

• $$x=-29$$  

Multiple Choice

To solve the equation  $$\frac{m}{3}=8$$ , the best step is to

• add 3 to both sides.

• subtract 3 from both sides.

• multiply both sides by 3.

• divide both sides by 3.

Multiple Choice

Solve  $$\frac{m}{3}=8$$ .

• $$m=24$$  

• $$m=\frac{8}{3}$$  

• $$m=11$$  

• $$m=5$$  

Multiple Select

When solving inequalities, the following statements are TRUE:

• When adding/subtracting 8 to/from both sides of an inequality, the inequality symbol remains the same.

• When multiplying/dividing both sides of an inequality by 5, the inequality symbol remains the same.

• When multiplying/dividing both sides of an inequality by -10, the inequality symbol remains the same.

• When multiplying/dividing both sides of an inequality by -10, the inequality symbol changes.

Multiple Choice

To solve the inequality  $$p+5\ge17$$ , the best first step is

• add 5 to both sides.

• subtract 5 from both sides.

• multiply both sides by 5.

• subtract both sides by 17.

Multiple Choice

Solve  $$p+5\ge17$$ . 

• $$p\ge22$$  

• $$p\ge12$$  

• $$p\le12$$  

• $$p\le22$$  

Multiple Choice

To solve the inequality  $$18h<3$$ , the best first step is

• divide both sides by 3.

• divide both sides by 18.

• multiply both sides by 18.

• subtract 18 from both sides.

Multiple Choice

Solve  $$18h<3$$ . 

• $$h>6$$  

• $$h<6$$  

• $$h<\frac{1}{6}$$  

• $$h<-15$$  

Multiple Choice

To solve  $$-7m\le28$$ , the best first step is to

• add 7 to both sides, keeping the same symbol.

• subtract 7 from both sides, changing the inequality symbol.

• divide both sides by -7, keeping the same inequality symbol.

• divide both sides by -7, switching the inequality symbol.

Multiple Choice

Solve  $$-7m\le28$$ . 

• $$m\le35$$  

• $$m\le21$$  

• $$m\le-4$$  

• $$m\ge-4$$  

Solving Two-Step and Multi-Step Equations and Inequalities

These equations and inequalities require more than step (action, or operation) to solve.