Linear Equations from Word Problem

Amelia has $100 in her savings account and plans on solving $20 per week. Write an equation to represent this situation.

• y = 100x

• y = 20x

• y = 20x + 100

• y = 100x + 20

Tags

CCSS.HSF-BF.A.1A

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = 100 - 30x

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

Tags

CCSS.6.EE.C.9

Joe has $150 in his savings account and saves $40 per month. Which equation represents the amount Joe has in his account after x months?

• y = 150 + 40

• y = 40x + 150

• y = 150x + 40

Tags

CCSS.6.EE.C.9

What letter represents the slope of a line in the equation y = mx + b?

• y

• m

• x

• b

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

You and your friends go to the movies and purchase some popcorn and Pepsi. Popcorn is sold for $4.99 per bag and Pepsi is sold for $1.99 per bottle. You each chip in to pay $24.92. Write an equation to represent the given situation.

• y = 1.99x + 4.99

• y = 4.99x + 24.92

• y - 1.99 = 4.99(x - 24.92)

• 1.99x + 4.99y = 24.92

A plumber charges $25 for a service call plus $50 per hour of service. What information is given and what equation should you use?

• A slope and a y - intercept are given; use y = mx + b.

• A slope and a y - intercept are given; use y - y1 = m(x - x1).

• Two points are given; use y - y1 = m(x - x1).

• Two different items that add to a total are given; use Ax + By = C

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. What information is given and what equation should you use?

• A slope and a y - intercept is given; use y = mx + b.

• A slope and a y - intercept is given; use y - y1 = m(x - x1).

• Two points are given; use y - y1 = m(x - x1).

• Two different items that add to a total are given; Ax + By = C

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

You took a standardized test on which all of the questions had to be answered. Your received 2 points for each correct answer but lost ½ point for each incorrect answer. Your score was 85 points. What information is given and what equation should you use?

• A slope and a y - intercept is given; use y = mx + b.

• A slope and a y - intercept is given; use y - y1 = m(x - x1).

• Two points are given; use y - y1 = m(x - x1).

• Two different items that add to a total are given; use Ax + By = C

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

When 4 people attend the movie theater, it costs $23.96. When 7 people attend the movie theater, it costs $41.93. What information is given and which equation should you use?

• A slope and y - intercept are given, use y = mx + b.

• A slope and y - intercept are given, use y - y1 = m(x - x1).

• Two points are given; use y - y1 = m(x - x1).

• Two different items that add to a total are given; use Ax + By = C.

A caterer charges $100 to cater a party for 10 people and $175 for 25 people. Write an equation for the given situation.

• y = 25x + 100

• y - 100 = 5(x - 10)

• y - 175 = 10(x - 25)

• 100x + 175y = 35

Tags

CCSS.6.EE.C.9