LESSON1 - EQUATION

INTRODUCTION TO EQUATIONS

What are equations?

 

Equations are made up of two expressions on either side of an equals sign, like

x + 2 = 1

 To solve an equation, you need to find the values of the missing numbers.

 

"I think of a number, add four, and the answer is seven"

Written algebraically, this statement is  x + 4 = 7 , where   x  represents the number you thought of.

 

x + 4 = 7  is an example of an algebraic equation,  x  represents an unknown number.

The number you first thought of must be three (3 + 4 = 7). Therefore, x = 3 is the solution to the equation x + 4 = 7.

 

 More complex equations !

 

 

Sometimes an equation will have multiples of an unknown, e.g  5y = 20. To solve this you need to get the unknown on its own. To do this, divide both sides by 5.

5y = 20

5y ÷ 5 = 20 ÷ 5

y = 4

 

USEFUL PHRASES

satisfy an equation- - spełnia równanie

substitute 2 for x - podstawic 2 za x

cancel equal terms - sktócic jednakowe wyrazy

 

LABEL TRUE OR FALSE

Equations in physics show how quantities are related. To use formula you replace the known variables with the given values in order to find the unknown variable. (T/F)

 

A stroke through an equality symbol negate it. ( T/F)

SELECT THE PHRASE

that best completes the sentence: must be, cannot be, can be but needn't be

 

The solution set of an equation .................................the empty set.

 

The like terms .....................  combined before solving the equation

 

 

FILL IN THE GAPS

Before solving an equation like 6x + 2x + 5 = 25, you should first .................... the .................. terms.

 

The ........................... set of an ........................ is the set of all numbers that are ................... of this equation.

Say, if the sentence is true always/sometimes/never

After replacing a variable with number an open sentence becomes true or false.

 

A linear equation in one variable has exactly one root

 

 

Real-World Connection

You are ordering tulip bulbs from a flower catalog. You have $14 to spend. If the shipping cost is $3.00 for any size order, determine the number of bulbs you can order.

Solve equations !

1)  8p - 3 = 13

 

2) -n + 8.5 = 14.2

 

3) 6(t + 5) = -36

 

4) 7h + 2h - 3 = 15

 

5) -3(5 - t) = 18

 

6) 0.1(h + 20) = 3

 

7) 4 - y = 10

Materials

equationsTest.pdf
Adobe Acrobat Document 146.4 KB
equations.pdf
Adobe Acrobat Document 134.4 KB
equation1.pdf
Adobe Acrobat Document 146.4 KB
equations11.pdf
Adobe Acrobat Document 57.9 KB