College Algebra Practice Problems questions and answers 100% correct

College Algebra Practice Problems questions and answers 100% correct Factor: 9y^2 + 36y + 35 (3y+7)(3y+5) Linear or non-linear? 6/x + 14 = 40 Non-linear y = 2x - 3 This is linear because the exponent on x is one. Thus your slope is standard rise over run, like a stair step and simply goes up or down. Y = x^2 + x + 4 is nonlinear. When graphed it becomes a parabola, which looks like a hill on your graph. This is because the exponent on the variable of x is more than one. Solve: 3(2y+3) = 3-2(y-3) 0 2 less than three times the sum of a number and four 3(x+4) -2 One number is 3 more than twice the other number. If the sum of the two numbers is 27, find the two numbers. Two numbers are 8,19 Multiply: (9√7 - 4√6) (√7 + 3√6) 23√42 -9 Type in a + bi (9-8i) - (-4 +6i) 13-14i Write in a + bi form: √-1 + 7√-9 7√2i The product of a number and 5 is 4 less than the quotient of a number and 2. 5x = x/2 - 4 The perimeter of a rectangle is 108m. The length is 6 meters longer than twice the width. What are the dimensions? 16m = w 38 = l Find the product of the given complex number and its conjugate. 5 + 3i What is the complex conjugate? (5-3i) Product? 34 Use the quad formula: 5x^2 + 18x - 8 = 0 -1-i√39 -1+i√39 ----------- ----------- 10 10 Find the discriminant and how many solutions it has: 2x^2 - 16x + 32 = 0 Discriminant : 0 One real solution The sum of the square of a positive number and the square of 2 more than the number is 130. What is the number? 7