The Number System
Select the one rational number from the list below.
√30, π, π/2, 2π, 2√30, √64, √64/π, -π
√64
What is the value of 2³ × 2⁵ written in exponential form?
28
Which of the following is the definition of a function?
A rule that assigns exactly one output to each input
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
10
What does a scatter plot show?
The relationship between two variables
Which is the correct scientific notation for 0.00042?
4.2 × 10⁻⁴
Solve for x:
3(x − 4) = 2x + 5
x = 17
What is the slope of the line y = −3x + 7?
-3
Which transformation produces a figure that is the same size but flipped across a line?
Reflection
If a scatter plot shows points forming an upward trend from left to right, this suggests what kind of association?
Positive association
Choose a value of k that rounds the equation to equal 5.
√k + √k
5, 6, 7
Write an equation in slope-intercept form that passes through these two points.
(3, 5) and (8, 10)
y = x + 2
A line passes through (2, 5) and (6, 13). What is the slope?
2
What is the volume of a cylinder with radius 3 cm and height 10 cm? Round to the nearest tenth place.
282.7 cm3
A line of best fit has the equation y = 2.5x + 10, where x is hours studied and y is test score. What score does the line predict for a student who studies 6 hours?
25
A square has an area of 225 cm2. What is it's side length?
15 cm
Solve the system:
y = 2x + 1
y = −x + 7
(2, 5)
Function A: y = 3x + 1. Function B passes through (0, 2) and (2, 12). Which function has the greater rate of change?
A triangle has vertices at A(1, 2), B(4, 2), and C(4, 6). It is dilated by a scale factor of 2 from the origin. What are the new coordinates of C?
C' (8, 12)
A two-way table shows 60 students: 30 play sports, 20 play music, and 10 do both. How many students play sports but NOT music?
20
Which two integers is √125 between?
11 and 12
Find the exponent that makes the equation true.
43 * 4a = 413
a = 6
Which point can be removed so that these ordered pairs form a function?
(6, 8), (1, 2) (3, 5) (6, 8) and (1, 6)
(1, 2) or (1, 6)
A triangle has a leg of 8 and a hypotenuse of 10. What is it's perimeter?
24
Describe how to pick the best line of best fit on a scatter plot.
The line of best fit goes through a few points and is in the center of the data, usually with close to equal dots on either side of it.