Midterm 2 Preparation

Midterm 2: Version D

Find the solution set of the system graphically.

  1. \left\{ \begin{array}{rrrrrrr} x&-&2y&+&6&=&0 \\ x&+&y&-&6&=&0 \end{array}\right.

For problems 2–4, find the solution set of each system by any convenient method.

  1. \left\{ \begin{array}{rrrrr} 3x&-&2y&=&0 \\ 2x&+&5y&=&0 \end{array}\right.
  2. \left\{ \begin{array}{rrrrr} 2x&-&3y&=&8 \\ 3y&-&2x&=&4 \end{array}\right.
  3. \left\{ \begin{array}{rrrrrrr} 2x&+&y&-&3z&=&-7 \\ &&-2y&+&3z&=&9 \\ 3x&&&+&z&=&6 \end{array}\right.

Reduce the following expressions in questions 5–7.

  1. 36 - \{-2x - \left[6x - 3(5 - 2x)\right]\}^0 + 3x^2
  2. 3a^2(a - 2)^2
  3. (x^2 + 2x - 4)^2

Divide using long division.

  1. (x^4 + 4x^3 + 4x^2 + 10x + 20) \div (x + 2)

For problems 9–12, factor each expression completely.

  1. x^2 + 3x - 18
  2. 3x^2 + 25xy + 8y^2
  3. 125x^3 - y^3
  4. 81y^4 - 16x^4

Solve the following word problems.

  1. The sum of the ages of a boy and a girl is 18 years. Four years ago, the girl was four times the age of the boy. Find the present age of each child.
  2. A purse contains \$3.50 made up of dimes and quarters. If there are 20 coins in all, how many dimes and how many quarters were there?
  3. A 60 kg blend of two different grades of tea is sold for \$218.50. If grade A sells for \$3.80 per kg and grade B sells for \$3.55 per kg, how many kg of each grade were used?

Midterm 2: Version D Answer Key

License

Icon for the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License

Intermediate Algebra Copyright © 2020 by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

Share This Book