OSU MATH PLACEMENT REVIEW WITH COMPLETE SOLUTIONS 100% 2023/2024

OSU MATH PLACEMENT REVIEW WITH COMPLETE SOLUTIONS 100% 2023/2024 Integer All whole numbers (both positive and negative) and zero. rational number All numbers including fractions and decimals. Ex: 1, -1, -.3 Negative multiplication A negative number multiplied by an even number equals a positive result. A negative number multiplied by an odd number equals a negative result. Applies to Powers as well. square roots All positive numbers of two square roots. One is positive, the other is negative. If a square root is a whole number it is a perfect square. If not it will be an irrational number. See examples in the photo inequality's If multiplying or dividing an inequality by a negative number, switch the sign around. Ex: a<c *-b = -ab>-bc. Functions and linear equations A function is an equation that has only one answer for y for every x. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2. f(x)=x+7 ifx=2then f(2)=2+7=9 A function is linear if it can be defined by f(x)=mx+b f(x) is the value of the function. m is the slope of the line. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane. x is the value of the x-coordinate. Graphing a linear equation First solve the equation for y, Then create a table with x, y functions, using the equation to determine y. Then graph the results. Graphing Inequalities Graph the boundaries. Then test a point in each region. If it's less than or greater than it's a dotted line. If it's less/ greater than or EQUAL to it's a solid line!! If the function or inequality is absolute, then you need to make a line for positive X and negative X. Solving systems of linear equations in two variables.