College Algebra - Week 1

Homework

Check each answer individually. Use the hint if you get stuck, then ask the tutor.

Problem 1 · easy

Classify the number -7: natural, integer, rational, or irrational?

Problem 2 · easy

Classify sqrt(5): rational or irrational?

Problem 3 · easy

Evaluate: 5 + 3 * 4

Problem 4 · easy

Evaluate: (5 + 3) * 4

Problem 5 · easy

Evaluate: 2^4 - 3 * 2 + 1

Problem 6 · easy

Evaluate 4x - 3 when x = 5.

Problem 7 · easy

Evaluate a^2 - 2b when a = 3 and b = 4.

Problem 8 · easy

Simplify: 5x + 3 - 2x + 7

Problem 9 · medium

Simplify: 4a^2 - 3a + a^2 + 5a

Problem 10 · easy

Expand: 3(2x - 5)

Problem 11 · easy

Expand: -4(x + 3)

Problem 12 · medium

Simplify: 2(x + 4) + 3(x - 2)

Problem 13 · easy

Solve: x + 8 = 15

Problem 14 · easy

Solve: x - 5 = -3

Problem 15 · easy

Solve: 3x = 21

Problem 16 · easy

Solve: x/4 = -6

Problem 17 · easy

Solve: 2x + 5 = 13

Problem 18 · easy

Solve: 4x - 3 = 9

Problem 19 · medium

Solve: -3x + 7 = 22

Problem 20 · medium

Solve: 5 - 2x = -1

Problem 21 · medium

Solve: 6x - 4 = 2x + 8

Problem 22 · easy

The sum of a number and 14 is 31. Find the number.

Problem 23 · medium

Three times a number minus 5 is 16. Find the number.

Problem 24 · medium

Evaluate: -(3x - 2) when x = 4

Problem 25 · challenge

Simplify: 5(2x - 1) - 3(x + 4)