Graphing Equations on a Number Line

Model and Solve

Multiplication
and Division

Equations

I will model and solve one-variable, one-step equations
that represent problems, including geometric concepts;
represent solutions for one-variable, one-step equations
on number lines.

(TEKS 6.10A; 6.9B)

Your parents give you a $50 iTunes
gift card for Christmas. Each song
averages about $1.50. How many
songs can you download with the
$50 card?

1.50x = 50

If you want to download 10 songs
and each song takes up
approximately 5MB, how much space
must be available on your iPod to
accommodate for the songs that you
want?

Solving an equation is like balancing a scale:

Both sides must remain equal.

Solving One-Step Equations

1.

The variable must be alone or
isolated on one side of the
equation.

2.

Isolate the variable by using
inverse or opposite operations.

3.

The equation must remain
balanced.

4.

Check your solution.

Use the key at right to write and solve the equation
represented below.

x

1

-1

Five times a number is -45. Which number line represents the value
of the number? (STAAR 2017)

If n is divided by 3 the quotient is 7. Which number line graph best
represents the value of n?

The face of a clock is a circle with 12 equal sections. A circle has 360o.
What is the value of k, the number of degrees in each section of the
clock? (STAAR 2023)

A.k = 12

B.k = 48

C.k = 30

D.k = 72

Holly bought a magazine subscription for a year. She paid $27. Holly
wanted to find the price, p, of the subscription each month. She
created the model shown to help find this price. What was the price
of the subscription each month? (STAAR 2016)

A.$39.00

B.$2.25

C.$324.00

D.$22.50

The area of a rectangle is 45.5 square inches. The base of the
rectangle is 7 inches. What is the height of the rectangle in inches?
(STAAR 2019)

A 318.5

B 6.5 in

C 15.75 in

D 38.5 in

Partner Talk/HEQ

What is the formula for area of a
rectangle. What variables do we
have values for? What variable

are we solving for?

An equation is shown. What is the solution to the equation?
(STAAR 2024)

8x - 2x = 48

A.x = -8

B.x = ⅛

C.x = 8

D.x = - ⅛

SLIDESMANIA.COM - Jennifer Leban & Omar López

SLIDESMANIA.COM - Jennifer Leban & Omar López

Ticket Out the Door

Write and solve the equation represented below.