Writing & Solving Basic Algebraic Equations

Words

100

Write the equation: You pay $13.50 for a movie ticket and snacks. The snacks cost $6.95. Write an equation you can use to find the price p of a movie ticket.

13.50 = p + 6.95

200

Write as a word sentence:

20 = y + 8

20 is 8 more than a number y

300

Panthers have the average height of 30 inches. They are 20 inches taller than mockingbirds. Write and solve an equation to find the average height of  mockingbirds.

h + 20 = 30

-20          -20

        h = 10 in.

400

You have saved $12 each week for many weeks. One day you count your money and find you have $384. Write and solve an equation to find how many weeks w you have been saving.

384 = 12w

32 weeks

500

It costs $16 per month to stream music on one device. Each additional device costs an additional $2. 

a. write an equation in two variables that represents the monthly cost to stream music. 

b. Identify the independent and dependent variables.

c. How much does it cost to stream on 4 devices in one month?

a. c = 16 + 2d

b. d= independent; c= dependent

c. $24

Equations

100

This makes the difference between an expression and an equation

equal sign, (=)

200

This is an example of what type of equation:

3y + 2 = 23

algebraic equation

300

This is an example of what type of equation:

213 - 34 + 16 = 195

Numerical Equation

400

Write a word phrase for the following equation:

y - 14 = 31

Answers my vary.

y minus 14 is 31

14 less than y equals 31

y take away 14 is 31

500

Write a word phrase for the following equation:

6r + 3 = 21

Answers may vary:

the product of 6 and a number plus 3

3 more than six times a number

six times r, plus 3

One-Step Addition/Subtraction Equations

100

The goal to solving equations

get the variable by itself

200

Solve: 

p + 16 = 94

p = 78

300

t - 32 = 51

t = 83

400

Solve:

j - 3 = 8

j = 11

500

Solve:

h + (-5) = - 4

h = 1

One-step Mult./Division Equations

100

How do we solve one-step equations 

the inverse operation

200

Solve:

9j = 27

j = 3

300

Solve:

k/8 = 24

k = 192

400

Solve: 

5m = 125

m = 25

500

Solve:

-y/6 = -21

y = 126

2-step equations

100

First step to solving two-step equation

inverse operation WITHOUT the variable

200

2nd step to solving 2-step equations

inverse operation WITH the variable

300

Solve:

2x + 6 = 24

x = 9

400

Solve:

h/5 - 15 = 30

h = 225

500

Kevin scored 18 points at the basketball game. That was 4 more than twice the amount of points Joe scored. How many points did Joe score?

Joe scored 7 points