Water exists in 3 states: Solid/ice, liquid/drinking water, gas/water vapor. Melting point = freezing point. They both describe the same transition of matter – liquid to solid is freezing and solid to liquid is melting. Freezing point of water — 32 F and 0 C at 1 atm of pressure Boiling point of water —[…]
What does it mean if x and y are directly related (directly proportional)? As x increases, y increases. As x decreases, y decreases. What about inversely related (indirectly proportional)? If x increases, y decreases and vice versa. Example: Carbon emissions and air quality.
If you are trying to measure the impact of a medication on blood pressure readings, you would have a treatment and a control group. The control group includes people who are not given the new medication. The treatment group is given the medication. In a randomized trial, you randomly assign participants to one of the[…]
The independent variable (X) affects the dependent variable (Y). If you measure the effect of tutoring hours (X) on ACT score (Y), tutoring hours is independent variable and the ACT score is the dependent variable. The independent variable is graphed on the x axis and the dependent variable is graphed on the y axis.
Line c passes through (8,-10) and (2,8). Line d is parallel to line c and passes through (6,1). Find the equation of line d.
Line n passes through (12,4) and (-6,10). Line s is perpendicular to line n and passes through (-3,9). Find the equation of line n.
Did you know? The SAT Math section focuses on 3 areas of math: Heart of Algebra, Problem Solving and Data Analysis, and Passport to Advanced Math. It’s important to know the following conversions: inches to feet-divide by 12 feet to inches-multiply by 12 minutes to hours-divide by 60 hours to minutes-multiply by 60 minutes to[…]
Both the SAT & ACT Math sections involve the manipulation of equations and solving linear systems. Percent change formula: [(new-old)/old]*100 When you raise an exponent to another power, you multiply the 2 exponents. When you multiply the bases, you add the exponents. For linear functions start with slope. Solve for slope then set up y=mx+b.[…]
In the year 2000, the town of Smallville had 800 residents. The town grows 4% annually. Find the population in 2005.
Tim buys a soda with an initial price of $1.55. Find the price after 2 consecutive discounts of 7% and 8%.