7th grade Solving Equations

Vocabulary

100

What do you call the letter/s use to represent unknown value? 

Variable/s

200

A number on its own in the given equation. 

Constant

300

TRUE or FALSE. Linear equation is an equation in which the highest power of the variable is always 1. 

TRUE

400

How many terms are there in 2x + y = 3x + 4

4 terms 

500

It is the number beside the variable. 

Coefficient 

Checking Solutions

100

Jimmy James was solving this equation. Check his work to see if he is right. 

-12 = x - 14 

x = -26

NO!

200

Jimmy James was solving this equation. Check his work to see if he is right. 

-5 + 10x = 0 

x = 1/2

YES!

300

Jimmy James was solving this equation. Check his work to see if he is right. -8x + 1 = 33 

x = -4

Yes

400

Jimmy James was solving this equation. Check his work to see if he is right. 

11c - 24 = -2

 c = 2

YES!

500

Jimmy James was solving this equation. Check his work to see if he is right. -3(2x - 8) + 10x = 16 

x = 2

NO!

Multi-Step Equations

100

8x - 1 = 63

x = 8

200

-1 + 8a = -129

a = -16

300

-6 + (n/14) = -5

n = 14

400

-8k + 3 = -125

k = 16

500

(d/12) + 25 = 29

d = 48

Word Problems

100

An online retailer charges $6.99 plus $0.55 per lb to ship electronics purchases. How many pounds is a DVD player for which the shipping charge is $11.94? Write an equation AND answer in a sentence.

6.99 + .55x = 11.94 It weighs 9 lbs.

200

Paulo has $145 in his savings account. He earns $36 per week mowing lawns. If Paulo saves all of his earnings, how many weeks will it take him to have $433? Write an equation and answer in a sentence.

145 + 36x = 433, It will take him 8 weeks.

300

Mrs. Jackson earned a $500 bonus for signing a one-year contract to work as a nurse. Her salary is $22 per hour. If her first week's check including the bonus is $1,204, how many hours did she work? Write an equation AND answer in a sentence.

500 + 22x = 1204, She worked 32 hours.

400

It costs $12 to attend a golf clinic with a local pro. Buckets of golf balls for practice during the clinic cost $3 each. How many buckets can you buy at the clinic if you have $30 to spend? Write an equation AND solve. Answer in a sentence

12 + 3x = 30, x = 6, You can buy 6 buckets of golf balls.

500

MOrgan subscribes to a website for processing her digital pictures. The subscription is $5.95 per month and 4 by 6 inch prints are $0.19 each. How many prints did Morgan purchase if the charge for January was $15.83? Write an equation AND answer in a sentence

5.95 + .19x = 15.83, She bought 52 prints.