MPS Mathematics Readiness Test Suggested Target Outcomes February 2007 Student: Date completed: Basic Mathematics Questions 1 to 25 Question Number Target Concept Main Idea 1 Write the prime factorization of a whole number. 2 Simplify integer expressions using the correct order of operations. 3 4 5 6 7 8 9 10 11 12 13 14 15 Reduce fractions to lowest terms. Add and subtract fractions. Multiply or divide with mixed numerals. Add and subtract with mixed numerals. Add, subtract, multiply and divide like denominators. Add, subtract, multiply and divide unlike denominators. Change an improper fraction to a mixed number. Estimate fractions. Arrange fractions / decimals in order of magnitude. Find the given percent of a base b. Find what percent of a is b. Convert from one unit to another. Solve a proportion given a verbal description. Find the third, given two of the following: base amount, percent of increase/decrease, resulting amount. Solve problems involving decimals. Approximate the upper and lower bounds of a solution. Approximate a solution using decimals. Add or subtract integers. Multiply or divide integers. Simplify expressions by removing grouping symbols, using the distributive property. Evaluate a variable expression using substitution. Solve “a plus/minus b = c” when a, b and c are integers. Determine the remainder of a division problem. 16 17 18 19 20 21 22 23 24 25 Beginning Algebra Level MPS Mathematics Readiness Test page 2 Questions 26 to 60 Question Number 26 27 28 29 30 31 32 33 34 Target Concept Main Idea 36 Write a verbal expression from a word problem. Solve ax = b when a, and b are rational numbers. Set up and solve verbal problems using linear equations. Solve c= ax + b when a, b, and c are integers. Solve problems using exponents that are positive integers. Solve problems using exponents that are negative integers. Find whole number power of a rational number. Multiply algebraic fractions with negative terms: x-1 and 1-x Factor a difference of two squares. Find the slope of a line from the coordinates of two points and put it into point-slope form. Find the equation of a line given two points; put it into slope-intercept form. 37 Find the x and y intercepts. 38 Solve a quadratic equation by factoring. 39 40 41 42 43 44 45 46 47 48 Solve a quadratic equation using the quadratic formula. Solve literal equations. Simplify radical expressions – specifically cube roots. Evaluate absolute value problems. Solve absolute value equations/inequalities. Graph a system of linear inequalities. Solve a system of linear equations. Solve word problems using linear relations. Given a line, find the equation of a line parallel to it through a given point. Given a line, find the equation of a line perpendicular to it through a given point. Given the standard form of an equation, change it to slope-intercept form and viceversa. 35 49 50 Solve ax + b = cx + d after removing grouping symbols. 51 Simplify exponents using the “add exponents” rule. 52 54 Simplify exponents using the “subtract exponents” rule. Find the power of a power using the “multiply exponents” rule making sure to include a coefficient. Solve a percent problem using mixtures. 55 Solve a mixture problem. 56 57 58 59 60 Simplify a nested parenthesis problem with negative coefficients. Multiply a trinomial by a binomial. Add unlike square roots. Graph a linear equation. Simplify fractional exponents by substituting in a value. 53 MPS Mathematics Readiness Test page 3 Geometry Questions 61 to 70 Question Number 61 62 63 64 65 66 67 68 69 70 Target Concept Main Idea Solve a problem involving the distance formula. Determine the area or circumference of a circle or part of a circle. Find the area of a triangle. Classify triangles by either their sides or their angles. Find the surface area of a rectangular prism. Find the measure of angles with parallel lines and a transversal. Determine the measure of angles in a triangle. Find the area of a right angled shape. Find the area of a polygon. Find the area of a composite figure.