Algebraic Equations Basics
Solve for y
y−5=18
y = 23
Solve for y:
3y≤18
y ≤ 6
Identify the independent variable:
"The cost of a pizza depends on the number of toppings."
The number of toppings
What are the coordinates of the origin?
(0,0)
slides 2
m
Solve for x:
x+7=12
x = 5
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
Identify the dependent variable:
"The amount of gas in a car depends on the number of miles driven."
The amount of gas
Which quadrant is the point (-3, 4) in?
Quadrant II
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
Solve for z:
4z=28
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
If a rectangle’s length doubles, what happens to the area?
the area of the rectangle will also double
Find the distance between (2,3) and (2,7).
4 units
slides 1
(4,-3)
Solve for a:
b/3 = 9
a = 27
A school bus can hold at most 50 students. Write an inequality to represent this.
x ≤ 50
If the area of a triangle is 24 cm² and its height is 6 cm, what is the base?
8 cm
A point starts at (3, 3). If it moves left 5 units, what is its new coordinate?
(-2,3)
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
A plant grows 3 inches per week. How many weeks will it take for the plant to grow 9 inches?
3 weeks
Jacob has at least 20 dollars in his wallet. Write an inequality to represent this situation.
x ≥ 20
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
If a point moves 4 units right and 3 units up from (1,2), what are its new coordinates?
(5,5)
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