THE NUMBER SYSTEM & EXPONENTS
Identify two different expressions that represent solutions to the equation y³ = 64.
4 and ³√64
Solve for x in the equation: 3/4(x+8)=9
4
True or False: In a mathematical function, every input must have exactly one output.
True
A figure is moved 6 units to the right on a coordinate plane. What type of transformation is this?
Translation
A machine fills 250 bottles every 20 minutes. What is the unit rate in bottles per minute?
12.5 bottles per minute
What is the decimal equivalent of the fraction 6/11?
0.54 repeating
Solve this system of equations:
{x=10 and 3x+5y=20
(10, -2)
Classify the function y = 5x - 3 as either linear or nonlinear.
Linear
Polygon KLMN is the image of polygon PQRS after a 180° rotation. Which angle in KLMN is congruent to ∠ S?
∠N
In a survey of 250 students, 116 are "In Favor" of uniforms and 134 are "Against." How many total students were surveyed?
250 students
Simplify the expression 2-3/2-5
22
Determine the value of x that makes this equation true: 3(x-6)-8x=-2+5(2x+1)
x= -1.4
A tank drains at a constant rate. At 10 minutes, there are 450 gallons; at 30 minutes, there are 330 gallons. What is the drainage rate in gallons per minute?
6 gallons per minute
In △ABC, BC is perpendicular to AC. If side AB=10 and BC=8, what is the length of segment AD?
6 cm
48 out of 112 7th graders favor uniforms. To the nearest tenth, what percent is this?
42.9%
On a number line, between which two consecutive integers would you plot a point to best approximate the location of √14?
Between 3 and 4
A sandbox has a perimeter of 29 feet. Its length is 1 foot longer than twice its width. What is the width of the sandbox in feet?
4.5 feet
Function A contains the points (3, 3) and (5, 7).unction C is defined by y=3x+1. Which function has a greater rate of change? Why?
Function C (Slope is 3 vs Slope of 2 for Function A)
Find the length of the diagonal d of a right rectangular prism with sides 7 in, 12 in, and 5 in.
14.765 inches
On a scatter plot, what do we call the line that most closely approximates the trend of the data points?
Line of best fit
A carpenter bought 750 nails, each with a mass of 5.2x10-3 kg. What is the total mass of the nails in kilograms?
3.9 kg
Does the equation -2(11 - 12x) = -4(1 - 6x) have one solution, no solution, or infinitely many solutions?
No solution
Classify the function y=10x2 as either linear or nonlinear.
Nonlinear
A point in the second quadrant (negative $x$, positive $y$) is rotated $90^\circ$ counterclockwise and then reflected across the $x$-axis. What are the final signs of the coordinates $(x, y)$?
Both are negative
In a survey of 109 8th graders, 51 exercised 5+ hours and 58 exercised less than 5 hours. Is it true that less than 50% of 8th graders exercised 5+ hours?
Yes (51 is less than 54.5)