Expressions and Equations

Presentation

•

Mathematics

•

11th Grade

•

Easy

Bette Horsington

Used 2+ times

FREE Resource

7 Slides • 21 Questions

A short lesson on
1) Simplifying
2) Solving

Linear Expressions and Equations

Combine Like Terms

Like terms are combined by adding/subtracting the coefficients

Match

Match the following

variable

coefficient

constant

a letter representing an unknown number

a number multiplying a variable

a number without a variable

Multiple Choice

Translate:
Five more than a number

x + 5

5 - x

5 divided by x

Multiple Choice

Translate:
Four times a number plus six is thirty.

4 + 6 = 30

4x + 6 = 30

x + 4 times 6 = 30

30 = 4x

Expressions vs. Equations

Expressions: numbers, letters, and operators grouped together to represent a value
NO = SIGN , CANNOT ALWAYS SOLVE!
Equations: states that two expressions are equal
HAS = SIGN, CAN SOLVE FOR THE VARIABLE!

Multiple Choice

Which of the following is an equation?

$-17+9$

$-17+9=-8$

Multiple Choice

Pick out the expression.

$5x+4-9=22$

$25=-5x$

$4a-3c+15-12a$

$6\left(x-3\right)=52$

Multiple Choice

Which of the following is not an equation?

2x+5=12

5+12

5m-8=24

-8=x-9

Multiple Choice

$4m-7+8m-17$ True or False: I can solve an algebraic expression like the one below and get an answer like x=#.

True

False

FALSE

Algebraic expressions cannot be solved! You can only simplify them (combine like terms or use distributive property). You should never get an answer of x=# with algrebaic expressions.

One-Step Equations

GOAL: GET VARIABLE BY ITSELF!
To do this: get rid of the number on the same side of the equation as the varibale by using inverse operations!

Fill in the Blanks

$x-19=12$

Fill in the Blanks

$\frac{a}{12}=-4$

Type answer...

Fill in the Blanks

$13=9+m$

Fill in the Blanks

$8y=52$

Fill in the Blanks

$-7g=-84$

Fill in the Blanks

$b-\left(-14\right)=9$

Type answer...

Fill in the Blanks

$-\frac{n}{8}=13$

Type answer...

Fill in the Blanks

$-x=-54$

Multiple Choice

a mathematical sentence stating that two expressions are equal. Always has an equal sign.

term

coefficient

equation

variable

Multiple Choice

What is the inverse operation of subtraction?

Subtraction

Multiplication

Division

Addition

Multiple Choice

What is the inverse operation of division?

Division

Multiplication

Addition

Subtraction

Multiple Choice

When solving 234 + N =389, what operation would you use to find the answer

multiplication

addition

subtraction

division

Multiple Choice

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

Add 62 to each side.

Subtract 62 from each side.

Multiply each side by 62.

Add 123 to each side.

Multiple Choice

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

v - 4 = 10

v + 4 = 10

10 - 4 = v

Answer not Given

A short lesson on
1) Simplifying
2) Solving

Linear Expressions and Equations

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