SAT Practice

System of Equations: Find the equilibrium point of the demand and supply equations: demand: p=490-0.6x supply: p=283+0.3x

(230, 352)

Units: Grant and Tim made 8.28 gallons of chili. About how many liters of chili did they make? 1gallon ≈ 3.785liters

31

Operations with Rational Expressions: x^2/(x-2)+4(2-x) Which of the following is equivalent to the expression shown above for x is not equal to 2?

x+2

Solving Quadratic Equations: 0=32-50x^2 What are the solutions for the equations above?

x= 4/5, -4/5

Solving Quadratic Equations: 72=2x^2 What are the solutions for the equations above?

x= 6, -6

Operations with Rational Expressions: (3/14y)+(y/14) Which expression is equivalent to the above sum for y is not equal to zero.

(3+y^2)/14y

System of Equations: {x+2y=5 {x-2y=1

(3,1)

System of Equations: {3x+2y=16 {2x+5y=7

(6,-1)

Operations with Polynomials: (3v+2)−((2/3)v-1/4​) What is equivalent to the following equation?

(7/3)v+(9/4)

Data Inferences: A study of 120,000 randomly selected photos posted to a social media site determined that 4 percent were "selfies," photos of oneself. If the percent of selfies is consistent throughout the rest of the photos on the site, and there are 20 billion photos, how many billions of photos on the site are selfies?

0.8

Data Inferences: Ronald Fast Food randomly selected 20 percent of locations and asked the manager about the most popular meat. Of the locations surveyed, beef is the most popular meat at 3 locations. Based on the data, what is the most reasonable estimate of the number of Ronald Fast Food locations where the most popular meat is beef?

20

Units: The Shanghai maglev train travels at a speed of 431 kilometers per hour. Approximately what is the train's speed in miles per hour? 1 mile ≈ 1.61 kilometers

268

Structure in Expressions: What is equivalent to the equation: -2(-x^2-3)?

2x^2+6

Operations of Rational Expressions: 7/(x-5)+4/(5-x) Which expression is equivalent to the above sum for all x is not equal to 5?

3/(x-5)

Find the Mean, Median, and Mode of the following data. 4, 3, 1, 6, 1, 7

Mean:3(2/3) or 3.67 Median: 3.5 Mode: 1

Right Triangle Trigonometry: In the figure above, triangles ABC and DEF are similar triangles. If sin B = 0.6, what is the value of sin E ? **Letters appear in the same order for both triangles in the image

hint** In similar triangles, corresponding vertices have the same trigonometric ratios. sin E= 0.6

Right Triangle Trigonometry: In the figure above, triangles RST and XYZ are similar triangles. Which of the following is equal to cos X ? **Letters appear in the same order for both triangles in the image

hint** SOH CAH TOA RS/RT

Circle Equations: A circle in the xy-plane has a center at (-12,15) and a radius that is 9 units long. Which of the following is an equation of the circle?

hint**(x-h)^2+(y-k)^2=r^2 (x+12)^2+(y-15)^2=81

Circle Equations: A circle in the xy-plane has a center at (-7,-6) and a radius that is √13​ units long. Which of the following is an equation of the circle?

hint**(x-h)^2+(y-k)^2=r^2 (x+7)^2+(y+6)^2= 13

Solving Quadratic Equations: 100-121k^2=0 What the solutions for the equations above?

k=10/11, -10/11

Linear Function Word Problems: A zoo monkey is on a diet of fruit and nuts. Fruit has about 12.8 grams (g) of sugar per cup. Nuts have about 4.0g of sugar per cup. The monkey ate 90g of sugar today. Which of the following shows the number of cups of nuts, n(f), the monkey ate today as a function of the number of cups of fruit, f, it ate today?

n(f)= (-12.8f+90)/4