Algebraic Expressions and Equations

Presentation

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Mathematics

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6th - 8th Grade

•

Practice Problem

•

Medium

•

CCSS

7.EE.B.4A, 6.EE.B.7, HSA.CED.A.3

Standards-aligned

Krista Shurer

Used 55+ times

FREE Resource

8 Slides • 24 Questions

Algebraic Expressions and Equations

Topics in this review:

1. Expressions vs. Equations

2. One-Step Equations

3. Two-Step Equations

4. Modeling Equations

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

$x-19=12$

Type answer...

Fill in the Blanks

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

Type answer...

Fill in the Blanks

$13=9+m$

Type answer...

Fill in the Blanks

$8y=52$

Type answer...

Fill in the Blanks

$-7g=-84$

Type answer...

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

$-x=-54$

Type answer...

Two-Step Equations

GOAL: GET VARIABLE BY ITSELF!
First step: Get rid of the constant using the inverse operation
Second step: Get rid of the coefficient using the inverse operation

Fill in the Blanks

$3m-7=11$

Type answer...

Fill in the Blanks

$\frac{a}{4}+22=14$

Type answer...

Fill in the Blanks

$18=7x-17$

Type answer...

Fill in the Blanks

$29=7-11b$

Type answer...

Fill in the Blanks

$-\frac{x}{3}-2.5=6$

Type answer...

Fill in the Blanks

$\frac{1}{2}w-19=-9$

Type answer...

Fill in the Blanks

$\frac{c-13}{5}=3$

Type answer...

Fill in the Blanks

Write an equation:

**do not put any spaces in your answer!

Type answer...

Fill in the Blanks

Write an equation:

**do not put any spaces in your answer!

Type answer...

Fill in the Blanks

Solve the equation:

Type answer...

Fill in the Blanks

Write an equation:

**do not put any spaces in your answer!

Type answer...

Fill in the Blanks

Solve the equation:

Type answer...

Algebraic Expressions and Equations

Topics in this review:

1. Expressions vs. Equations

2. One-Step Equations

3. Two-Step Equations

4. Modeling Equations

Show answer

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