Practice 1
Practice 2
Practice 3
Practice 4
100
Simplify the expression:
3x^2+5x-2x^2+7-3x
A) x² + 2x + 7
B) 5x² + 2x + 7
C) x² − 2x + 7
D) 5x² + 2x − 7
A) x² + 2x + 7
100
A circle has a diameter of 10 cm. What is its area? Leave your answer in terms of π.
25pi
100
Two data sets have the same mean of 50. Set A has a standard deviation of 2, and Set B has a standard deviation of 12. Which statement is TRUE?
A) Set A has more variability than Set B.
B) Set B has more variability than Set A.
C) The sets have equal variability because they have the same mean.
D) Standard deviation cannot be compared between sets.
Hint: A larger standard deviation means the data is more spread out from the mean.
B) Set B has more variability than Set A.
100
A surveyor stands 120 meters from the base of a building and measures an angle of elevation to the top of 35°. How tall is the building? Round to the nearest tenth of a meter. sin 35° ≈ 0.574, cos35° ≈ 0.819, tan 35° ≈ 0.700)
A) 84.0 m
B) 146.4 m
C) 68.9 m
D) 208.7 m
A) 84.0 m
200
A student scored 72, 85, 91, 68, and 79 on five tests. What is the mean score?
A) 78
B) 79
C) 81
D) 83
B) 79
200
Which values of x satisfy the equation x² − 5x + 6 = 0?
A) x = 1 and x = 6
B) x = 2 and x = 3
C) x = −2 and x = −3
D) x = −1 and x = −6
B) x = 2 and x = 3
200
Solve the system of equations: Find x =___ and y = ___
2x + y = 10
x − y = 2
x=4 and y= 2
200
What trig function uses the adjacent and hypotenuse?
Cosine
300
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
A) 7
B) 10
C) 14
D) 100
B) 10
300
A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. If a marble is drawn at random, what is the probability it is NOT green?
A) 5/12
B) 7/12
C) 1/3
D) 2/3
B) 7/12
300
Simplify the rational expression: (x² − 9) / (x² − x − 6)
A) (x + 3) / (x + 2)
B) (x − 3) / (x − 2)
C) (x + 3) / (x − 2)
D) 3/2
A) (x + 3) / (x + 2)
300
Given y=4x-10. What is the y-intercept?
y-intercept = (0,-10)
400
Solve for x: 4x − 9 = 15
x=6
400
B3. If f(x) = 2x² − 3x + 1, what is f(−2)?
A) 3
B) 11
C) 15
D) −1
C) 15
400
A scatter plot shows a strong positive linear correlation between hours studied (x) and exam score (y). The line of best fit is: y = 5.2x + 48 A student plans to study for 6 hours. According to the model, what score should they expect?
Score will be 79.2
400
A city's population is modeled by P(t) = 25,000 · (1.03)t where t =0 represents the year 2010.What was the population in the year 2021? Round to the nearest whole number.
Population in the year 2021 was 34,606.
500
The data set {7, 4, 9, 7, 12, 10, 15} has a median of _______.
Median = 9
500
Triangle ABC is similar to Triangle DEF. The sides of ABC are 6, 8, and 10. The shortest side of DEF is 9. Find the lengths of the other two sides of DEF.
12 and 15
500
Identify the vertex and axis of symmetry f(x)=(x-3)2 + 2
Vertex: (3,2)
Axis of symmetry: x=3
500
In a survey of 200 students, 120 play sports and 80 do not. Of those who play sports, 90 also participate in a club. Of those who don't play sports, 30 participate in a club. What is the probability that a randomly selected student participates in a club, given that they play sports? Write your answer as a fraction or decimal.
P(club|sport)= 90/120 = 3/4 = 0.75