Determine whether each equation has one solution, no solutions, or an infinite number of
solutions.
x=4x
one solution x=0
100
The equation A=bh is used to calculate
the area, A, of a parallelogram with base,
b, and height, h. Calculate the area of a
parallelogram with a base of 15 inches and
a height of 9 inches.
135 square inches
100
Is x=3 a solution solution to the inequality 3x ≤ 10?
What is yes. 9 is less than or equal to 10?
200
45.28 = 19.83 + z
z = 25.45
200
8k = 40
k = 5
200
Malik has 4 times as many tennis balls as Peter. If the total number of tennis balls Malik has
is 20, write an equation to represent the situation.
x = number of tennis balls Peter has 4x = 20
200
Use the equation A=bh to calculate the
height of a parallelogram with an area of
36 square inches and a base of 9 inches.
4 inches
200
Is x=4 a solution to the inequality 2x ≥ 9
What is no. 8 is not greater than or equal to 9?
300
k + 21 = 41
k = 20
300
7/10 x = 23/5
x = 230/35, 6.57143
300
Julia has 2 more marbles than John. If the total number of marbles is 18, write an equation
to represent the situation using a variable.
x=number of marbles John has
x+2=number of marbles Julia has
x + x + 2 = 18
2x + 2 = 18
300
The equation P = a + b + c is used to
calculate the perimeter, P, of a triangle
with side lengths a, b, and c. Calculate the
unknown side length for a triangle with
a perimeter of 25 meters and two sides
measuring 7 meters each.
11 meters
300
Create a graph that represents the inequality x ≤ 23
What is a closed dot on 23 with a line that points to the left?
400
62.52 = 27.39 + t
t = 35.13
400
5/8m = 27/4
m = 10.8 or 216/20
400
Write an inequality to describe each situation.
A theater seats up to 275 people. Let p represent the number of people attending a
performance in the theater
p ≤ 275
400
Kyle lives in a state that has a 6%
sales tax. If c represents the cost of an
item and t represents the sales tax on
the item, which equation expresses
the relationship between these two
variables?
t = 0.06c
400
Create a graph that represents the inequality x ≥ 16
What is a closed dot on 16 with a line that points to the right?
500
5.75 = t + 2.25
t = 3.5
500
4.82 y = 156.891
y = 32.55
500
Write an inequality to describe each situation.
The minimum age for voting in the United States is 18 years old. Let a represent a
voter’s age.
a≥18
500
The equation P=4s is used to calculate
the perimeter, P, of a square with a side
length, s. Calculate the perimeter of a
square with side lengths that are each 15
meters long.
P = 60 meters long
500
Write an inequality for a graph that has an open dot on 4 with a line that points to the left.