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)