One
Solve the proportion for mm.
20/15=4/m
m=3
Solve the equation for a.
a/−3=6
a=-18
A cinema enthusiast is studying the duration of movies through each season. They kept a log of movie durations of all the movies the local cinema showed during the summer. The durations have been grouped and tabulated in a frequency table. Based on the table's data, generate a histogram to visualize the length distribution of the movies. (4)
2
2
6
9
8
7
3
Solve the equation for n.
n−19.5=−23.3
n=-3.8
Solve the equation for z.
0.8z=3
z=3.75
The students in a class are surveyed about the number of pets their family owns.
The class's teacher records each student's response. Then, this data is placed in the following line plot and histogram:
One of the students claims that the most common number of pets owned among the class is 6. Is this claim correct? Which data representation can be used to make this conclusion? (6)
The student's claim is incorrect based on the line plot.
Solve the equation for a.
−7/2=a−9/2
1=a
Members of a gym were asked how long they typically work out. The durations, in minutes, for each member is noted below. Use this data to generate a histogram displaying the distribution of workout durations. (5)
40, 57, 76, 52, 60, 61, 29, 84, 118, 26, 35, 29, 110, 30, 45, 78, 72, 43, 31, 59, 8, 32
1
7
6
5
1
2
Select all of the following values of n that are solutions to the equation.
n/5=6
A. 2
B. 17
C. 7
D. 18
E. None of the above
E. None of the above
Solve the equation for x.
21=x−25
46=x
Solve the linear inequality for m. Write your answer in inequality notation.
−2<−4m+2
1>m
Solve the equation for c.
c/5=6
c=30
Write 43.9% as a decimal.
0.439
Solve the linear inequality for m. Write your answer in interval notation.
m/4≥−9
m≥−36
Write the fraction as a percentage.
1/2
50%
Choose two of the inequalities below which are equivalent to the following number line. (17)
C
D
Select all of the following values that are solutions to the inequality.
b/8≥−3
A. −8
B. −4
C. −40
D. −13
E. None of the above
A. −8
B. −4
D. −13
Write the percentage as a fraction in simplest form.
51%
51/100
Solve the linear inequality for c. Graph your answer in the number line. Then write the solution in inequality notation.
8≤2c
4≤c
Addison notices a shirt that is on sale at a clothing store. Its current cost is 0.2 times its original cost. What percentage of the original price is the sale price?
20%