Combine the x-terms, and subtract 6 from each side to find 12x – 6 = y, in which the m term must be 12, (G).ĥ. In order to find the slope, put this equation into slope-intercept form, or y = mx + b. What is the slope of the line represented by the equation 10 x + 2 x = y + 6 ?
Now that you've got the slots filled in, go ahead and multiply the numbers to find the number of possible arrangements: Then, fill the rest in as normal, remembering that W is already taken, so there are only four letters left: There is a restriction on the last slot in that only one letter, W, can go there, so fill this one in first: This is problem is asking for arrangements, so start by creating the number of slots you will need: In the word HAWKS, how many ways is it possible to rearrange the letters if none repeat and the letter W must go last? Then find the circumference of circle B, with C = 2π r = 2π r(2) = 4π, or choice (G).ģ. If the radius of circle B is half that of circle A, then the radius of circle B must be 2. The area of circle A is 16π and because A = π r 2, the radius of circle A must be 4. If you have one piece of information about a circle, you can find everything else you need. If the area of circle A is 16π then what is the circumference of circle B if its radius is ½ that of circle A ? If you selected choice (A), be careful this is the smallest value of x that solves the equation.
Try choice (C), 3 2 - 4 (3) + 3 = 9 - 12 + 3 = 0, It works, and because you're plugging in the answer, you can stop once you've found a correct answer. The problem is asking for the largest, so start with choice (E). A great indication that you can plug in the answer. This might look like a traditional plug-and-chug problem, but the problem is asking for a specific value, and the answer choices are all real numbers. What is the largest value of x that solves the equation x 2 - 4x +3 = 0
You may use your calculator for any problems you choose, but some of the problems may best be done without using a calculator.ġ. You are permitted to use a calculator for these questions. Don’t panic! Because ACT is so specific about the types of questions it expects you to answer, you can easily prepare to tackle them. This means you need to memorize relevant formulas, so you can recall them quickly as needed. The ACT does not provide any formulas at the beginning of the Math Test. 4 questions based on basic sine, cosine, and tangent functions, trig identities, and graphing.9 coordinate geometry questions based on slope, distance, midpoint, parallel and perpendicular lines, points of intersection, and graphing.14 plane geometry questions based on angles, lengths, triangles, quadrilaterals, circles, perimeter, area, and volume.9 intermediate algebra questions based on exponents, roots, simultaneous equations, and quadratic equations.10 elementary algebra questions based on inequalities, linear equations, ratios, percentages, and averages.14 pre-algebra questions based on math terminology (integers, prime numbers, and so on), basic number theory (rules of zero, order of operations and so on), and manipulation of fractions and decimals.The ACT Math Test usually breaks down into 6 questions types: pre-algebra, elementary algebra, and intermediate algebra questions plane geometry and coordinate geometry questions and some trigonometry questions. You will have 60 minutes to answer 60 multiple-choice questions based on “topics covered in typical high school classes.” For those of you who aren’t sure if you went to a typical high school, these questions break down into rather precise areas of knowledge. Private Tutoring with Pass Guarantee NEW.