Math test
.docx
School
Diamond Bar High**We aren't endorsed by this school
Course
MATH ALGEBRA
Subject
Mathematics
Date
Dec 22, 2024
Pages
2
Uploaded by AmbassadorViperPerson1177
Grade 10 Math TestUnit: [Unit Name]Date: [Insert Date]Teacher: [Teacher Name]Time: [Insert Time Limit]Total Marks: [Total]Student Name: ___________________________Student Number: _________________________Instructions:●Answer all questions clearly.●Show all work for full marks.●Calculators are [allowed/not allowed].●Ensure final answers are boxed or highlighted.Section 1: Multiple Choice (1 mark each)Circle the correct answer.1.Simplify: (2x+3)(x−4)(2x + 3)(x - 4)a) 2x2−8x+32x^2 - 8x + 3b) 2x2+x−122x^2 + x - 12c) 2x2−5x−122x^2 - 5x - 12d) 2x2+5x−122x^2 + 5x - 122.Solve for xx: 3x−5=163x - 5 = 16a) x=7x = 7b) x=21x = 21c) x=11x = 11d) x=5x = 53.Which of the following is a factor of x2−9x^2 - 9?a) x+3x + 3b) x−3x - 3c) (x+3)(x−3)(x + 3)(x - 3)d) x2+3x^2 + 3Section 2: Short Answer (2-4 marks each)4.Factor the following expression:x2−7x+12x^2 - 7x + 12
5.Solve for xx:2x2−5x−3=02x^2 - 5x - 3 = 06.Calculate the slope of the line passing through points (2,3)(2, 3) and (6,11)(6, 11).Section 3: Problem Solving (5-7 marks each)7.The length of a rectangle is 4 meters longer than its width. The area of the rectangle is 96 m2m^2. Find the dimensions of the rectangle.8.A quadratic function is defined as:f(x)=x2−6x+8f(x) = x^2 - 6x + 8a) Find the vertex of the parabola.b) Determine the x-intercepts.c) Sketch the graph of the function.Bonus Question (Optional) (3 marks)The sum of three consecutive integers is 72. Find the integers.Mark Breakdown:●Multiple Choice:____ / [Total]●Short Answer:____ / [Total]●Problem Solving:____ / [Total]●Bonus:____ / 3Final Score:____ / [Total]