Homework

Problem 1 · easy

Solve: 5(x - 3) = 20

Problem 2 · medium

Solve: 2(3x + 1) - 4 = 12

Problem 3 · easy

Solve: 7x - 3 = 4x + 9

Problem 4 · medium

Solve: 3(2x - 5) = 4(x + 1)

Problem 5 · medium

Solve: 4(x + 2) = 4x + 8. State the solution type.

Problem 6 · medium

Solve: 3x + 7 = 3x - 1. State the solution type.

Problem 7 · medium

Solve for h: A = (1/2)bh

Problem 8 · easy

Solve for r: C = 2*pi*r

Problem 9 · medium

Solve for x: ax + b = c

Problem 10 · easy

The sum of two consecutive integers is 63. Find the smaller integer.

Problem 11 · easy

The sum of three consecutive integers is 90. Find the middle integer.

Problem 12 · medium

The sum of three consecutive even integers is 78. Find all three.

Problem 13 · medium

Sam is 4 times as old as Tim. In 6 years Sam will be 3 times as old. How old is Tim now?

Problem 14 · medium

A rectangle has perimeter 48 m. The length is 4 more than the width. Find the length.

Problem 15 · easy

Two angles of a triangle are 40 and 75 degrees. Find the third.

Problem 16 · easy

Two angles of a triangle are equal and the third is 30 degrees. Find the equal angles.

Problem 17 · medium

Solve: 5 - 3(x - 2) = 14

Problem 18 · easy

A parking lot has 80 cars and trucks. There are 3 times as many cars as trucks. How many trucks are there?

Problem 19 · medium

Two trains leave from the same station in opposite directions. One travels at 60 mph and the other at 80 mph. How long until they are 420 miles apart?

Problem 20 · challenge

Solve: 2(x + 3) + 4(x - 1) = 3(2x - 2)

Problem 21 · challenge

Solve: (x/2) + (x/3) = 10

Problem 22 · challenge

A coin jar has nickels and dimes totaling $1.80. There are 24 coins total. How many dimes?

Problem 23 · medium

Solve for y: 3x + 4y = 12

Problem 24 · challenge

Solve: -2(5x + 3) = 4(1 - 3x)

Problem 25 · easy

The sum of two numbers is 50. One number is 8 more than the other. Find the larger number.