Algebraic Equations Basics
Inequalities with Variables
Dependent & Independent Variables + Plane Figures
4 Quadrants & Distance on the Coordinate Plane
Polygons on the Coordinate Plane
100

Solve for y

y−5=18

y = 23

100

Solve for y:

3y≤18  

y ≤ 6

100

Identify the independent variable:
"The cost of a pizza depends on the number of toppings."

The number of toppings

100

What are the coordinates of the origin?  

(0,0)

100

slides 2 

m

200

Solve for x:

x+7=12

x = 5

200

Which inequality represents: “A number xxx is greater than or equal to 5”?
a) x>5
b) x<5
c) x≥5
d) x≤5

C

200

Identify the dependent variable:
"The amount of gas in a car depends on the number of miles driven."

The amount of gas

200

Which quadrant is the point (-3, 4) in?

Quadrant II

200

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-7, -5), B(-7, 6), C(-4, 6), and D(-4, -5).

Given these coordinates, what is the length of side CD of this rectangle??

11 units

300

Solve for z:

4z=28

z = 7
300

A movie theater can hold at most 200 people. Write an inequality to represent the number of people, p, that can be in the theater at one time.

p ≤ 200

300

If a rectangle’s length doubles, what happens to the area?

the area of the rectangle will also double

300

Find the distance between (2,3) and (2,7).

4 units

300

slides 1

(4,-3)

400

Solve for a:

b/3 = 9

a = 27

400

A school bus can hold at most 50 students. Write an inequality to represent this.

x ≤ 50

400

If the area of a triangle is 24 cm² and its height is 6 cm, what is the base?

8 cm

400

A point starts at (3, 3). If it moves left 5 units, what is its new coordinate?

(-2,3)

400

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0), B(6, 0), C(6, 7), and D(2, 7).

What is the area of rectangle ABCD?

28 units2

500

A plant grows 3 inches per week. How many weeks will it take for the plant to grow 9 inches?

3 weeks

500

Jacob has at least 20 dollars in his wallet. Write an inequality to represent this situation.

x ≥ 20

500

Find the area of a composite figure made of a rectangle (4×5 cm) and a triangle (base 4 cm, height 3 cm).

26 cm2

500

If a point moves 4 units right and 3 units up from (1,2), what are its new coordinates?

(5,5)

500

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 1),B(3, 1), C(3, 4), and D(-2, 4).

What is the perimeter of rectangle ABCD?

16 units


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