University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2021
Views:

138

Pages:

24
Author:

ardejaviwrj

The Top 11 "Keystones" of Algebra The Top Eleven Keystones of Algebra 1... You should be able to... 1) Simplify a radical expression. 2) Solve an equation. 3) Solve and graph an inequality on a number line. 4) Manipulate expressions with exponents. 5) Add, Subtract, Multiply, and Divide Polynomials. 6) FACTOR. 7) Graph a line. 8) Write the equation of a line. 9) Solve a system of linear equations or inequalities. 10) Interpret data and use basic probability. 11) Apply the Pythagorean Theorem. 1) sqrt(68) 3) 9sqrt(54) Page 1 - Keystone #1- Simplify a radical expression. Open Ended. sqrt(4sqrt(17)) 2sqrt(17) 2) 7(12) 84 9sqrt(9) * sqrt(6) 9(3) * sqrt(6) 17sqrt(u) 4) 3sqrt(72) 336 হি 3(u) * sqrt(2) (t / 2) 2 5) 5sqrt(132) 6) 6sqrt(85) 5sqrt(4) * sqrt(93) 5(3) * sqrt(33) 10sqrt(33) 6sqrt(85) Cannot be Simplified 7sqrt(144) Page 10 - Keystone #5 - Add, Subtract, Multiply, and Divide Polynomials. Multiple Choice. 1. When 3g ^ 2 - 4g + 2 is subtracted from 7g ^ 2 + 5g - 1 the difference is - 3q ^ 1 + 4g - 1 - 4g ^ 2 - 9g + 3 B. 4g ^ 2 + g + 1 C. 4g ^ 2 + 9g - 3 D. 10g ^ 2 + g + 1 3. The sum of two binomials is 5x ^ 2 - 6x If one of the binomials is 3x ^ 2 - 2x what is the other binomial? A 2x ^ 2 - 4x B. 2x ^ 2 - 8x C. 8x ^ 2 + 4x D. 8x ^ 2 - 8x 5. Which polynomial expression represents the area of the figure shown? x - 2 2x + 5 A. 2x ^ 2 + x - 10 A = bht B. x ^ 2 + 1/2 * x - 5 = (2x + 5)(x - 2) C. 2x ^ 2 - 10 = 3x ^ 2 - 4x + 5x - 10 D. x ^ 2 - 5 = f * x ^ 2 + x - 10 2. What is the product of - 3x ^ 2 * y and (5x * y ^ 2 + xy)' - 3x ^ 2 * y(5x * y ^ 2 + xy) Ⓐ - 15x ^ 3 * y ^ 3 - 3x ^ 3 * y ^ 2 A - 15x ^ 3 * y ^ 3 - 3x ^ 3 * y ^ 2 B. - 15x ^ 3 * y ^ 3 - 3x ^ 3 * y C. - 15x ^ 2 * y ^ 2 - 3x ^ 2 * y D. - 15x ^ 3 * y ^ 3 + xy 4. Which of the following expressions is equal to (x+2)+ (x - 2)(2x + 1) ? (x + 2) + f * x ^ 2 + x - 4x - 2 A. 2x ^ 2 - 2x 2x ^ 2 - 2x B. 2x ^ 2 - 4x C. 2x ^ 2 + x D. 4x ^ 2 + 2x 6. A polynomial expression is shown below. mx^ 3 -2) (2x ^ 2 + x - 1) - (6x ^ 5 + 16x ^ 4 + 2x) 2m * x ^ 5 + 11x ^ 4 - 15x ^ 5 - 4y ^ 2 - 2x + y ^ 2 = 4x ^ 5 - 16x ^ 4 - 2x - 2x ^ 5 - 14x ^ 4 - 2x ^ 3 - 4x ^ 2 + 2 What is the value of m? A. -2 B. 2 ८. 3 D. -3 2 n1-b=-2 M = 2