Vocabulary
Writing Expressions
Linear Equations & Inequality
Graphing Inequalities on a Number Line
Points on a line
100
A value that does not change
What is a constant?
100

George travels at 45 mi/h. Write an expression for the number of miles George travels in h hours.

 45h

100

Solve the equation 

 2x + 5 = 11

x=3

100

Graph x > 2

  • Circle type: Open circle (since it's just "greater than")
  • Shade: Everything to the right of 2 on the number line.
100

Is the point (4, 6) on each line? 

          3x – 2y = 16

No 

200
A letter or symbol used to represent a value that can change
What is a variable?
200

Two less than a number is -5. Write the equation and solve.

What is x - 2 = -5, x = -3?

200

Solve the Inequality 

x - 3 > 7

x>10

200

Graph y ≤ -1

  • Circle type: Closed circle (since it's "less than or equal to")
  • Shade: Everything to the left of -1 on the number line
200

Find a point that is on the graph of the line 

            3x + 5y = 10

(0,2) 

(5,-1)

(10/3, 0)



.

300
A mathematical statement that two expressions are equal
What is an equation?
300

A number multiplied by a negative three is 12. Write and solve the equation.

What is -3n = 12; n = -4?

300

Solve the Equation 

3(x - 2) = 12

x=6

300

Graph |x| < 4

  • Circle type: Open circles at -4 and 4
  • Shade: The region between -4 and 4, excluding -4 and 4.
300

Find a point on the line 

     3x – y = 15.

(0,-15)

(1,-12) 

(2,-9)

(5,0)

(6,3)


.

400
A number multiplied by a variable
What is a coefficient?
400
Jennifer earned $6.25 per hour at her after-school job. Each week, she earned $50. Write and solve an equation to show how many hours she worked each week.
What is 6.25h = 50; 8 hours?
400

(x + 1)/2 ≤ 4

x ≤ 7

400

Graph   -3 ≤ z < 2

  • Circle type: Closed circle at -3, open circle at 2
  • Shade: The region between -3 and 2, including -3 and excluding 2
400

Jones says finding a point on a line is the same thing as finding a set of values that satisfies an equation. Do you agree with his reasoning? Show or explain your justification.



 yes, he is correct. Points on a line are the visual representations of all of the points that satisfy a linear equation in two variables.

500

An expression that contains variables, constants, and/or operations

What is an algebraic expression?

500
Little Wayne deposited $500 into his bank account. He now has $4,732. Write and solve an equation to find how much was in his account before the deposit.
What is a + 500 = 4732; a = 4232?
500

2x - 5 < 3x + 1, and solve for  x:

x > -6

500

Graph 2x - 4 > 6

Solve for x first: x > 5. 

Then, plot 5 with an open circle and shade to the right.

500

A florist charges $19.95 per flower bundle plus a $15 delivery fee. The total cost can be modeled using the equation 

                                y = 19.95 x + 15.

a) Explain what x and y mean in context.


b) Find 2 ordered pairs on the line                      



a) y is the total amount the flowers + delivery costs and x is the number of bundles of flowers

b)(0,15)

(1, 34.95)

(2, 54.90)

(3, 74.85)

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