Algebra 1 Module 2- Equations in One Variable

Writing Equations

100

two added to three times a number m is the same as 18

what is 3m + 2 = 18

200

the product of five and the sum of a number x and three is twelve

what is 5(x + 3) = 12

300

the quotient of 24 and x equals 14 minus 2 times x

what is 24/x = 14 - 2x

400

the difference of three times n and five times the quantity of n plus p is the same as nine

what is 3n + 5(n + p) = 9

500

4n = x(5 - n)

what is four times n equals x times the difference of five and n

Solving Multi-Step Equations

100

Solve for t:

3t + 7 = -8

what is -5

200

Solve for z:

14 = (6 + z)/-2

what is -34

300

Solve for a:

-11 = (a - 5)/6

what is -61

400

Solve for x, assume a doesn't = 0:

4 = ax - 14

what is 18/a

500

Solve for x, assume a doesn't = 0:

8/ax - 5 = -3

4/a

Solving Equations w/ Variables on Each Side

100

Solve for c:

7c + 12 = -4c + 78

what is 6

200

Solve for x:

2x - 5(x - 3) = 2(x - 10)

what is 7

300

Solve for x: 

2x = 2(x - 3)

what is no solution

400

Solve for x:

2(4x + 6) = 2/3(12x + 18)

what is all numbers

500

A game designer is creating a computer animation of a rectangle with sides that vary in size.  The length of the rectangle in centimeters after t seconds is given by the expression 32 - 4t, while the width of given by the expression 2 + 2t.  

After how many seconds is the rectangle a square?

what is 5 seconds

Solving Equations w/ Absolute Value

100

Solve for n:

|n - 3| = 5

what is (-2, 8)

200

Solve for n:

|4n - 2| = 26

what is (-6, 7)

300

Solve for n:

|n + 1| = 5 

what is (-6, 4)

400

Solve for n:

|3/4n - 3| = 9

what is (-8, 16)

500

Solve for n:

|-2y + 6| = 6

what is (0,6)