Unit 3: Linear Equations Review

Linear Equation Word Problems/Linear Regression

100

MaryAnn is printing pictures from her recent trip to Europe. An online print shop charges $0.15 per 4x6 inch print, along with a flat rate shipping charge of $3.00. If MaryAnn has $35 to spend, how many prints can she order?

What is 213 pictures?

200

Alaina is selling wreaths and poinsettias for her chorus fundraiser. Wreaths cost $27 each poinsettias cost $20 each. If she sold 15 poinsettias and made $543, how many wreaths did she sell?

What is 9 wreaths?

300

At Smith Mountain Lake Boat Rentals, it costs $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengel family rented a boat from 11am-6:30pm and paid $226.50. If the Jones Family rented a boat from 8am-1pm, how much did they pay?

What is $164?

400

Clint is in study hall reading The Hunger Games. After 20 minutes, he is on page 151. After 45 minutes, he is on page 181. How many pages had Clint read prior to study hall?

What is 127 pages?

500

The table below shows Luke's golf score each week he participated in a golf tournament. Find the line of best fit.

Week    1     2     3     4     5     6

Score   95   92   89   88   86   84

What is y = -2.11x + 96.4?

Parallel & Perpendicular Lines/Equations

100

What is the slope of a line parallel to y=2x -5?

What is 2?

200

What is the slope of a line perpendicular to y=2x -5?

What is -1/2?

300

Which line is perpendicular to the line y = -3x + 2?

A. 3x + y = 4

B. x + 3y = 24

C. 3x - y = 5

D. x - 3y = 3

What is letter D?

400

Write an equation that is parallel to y = -4x + 5 and passes through the point (-2, -1).

What is y = -4x - 9?

500

Write an equation that is perpendicular to y = 3/5x - 1 and passes through the point (3, -4)

What is y = -5/3x + 1?

Writing Linear Equations (y = mx + b)

100

Write the equation of a line that has a slope of 2 and a y-intercept value of -3.

What is y=2x-3?

200

Write the equation of a line that passes through the point (-4, -7) and has a slope of 3.

What is y = 3x + 5?

300

Write the equation of a line that passes through the point (8, -9) and has a slope of -5/4.

What is y = -5/4x + 1?

400

Write the equation of a line that passes through the points (-3, -9) and (4, -2).

What is y = x - 6?

500

Write the equation of a line that passes through the points (-2, 7) and (6, -5).

What is y = -3/2x + 4?

Find the Slope (two ordered pairs) (y2 - y1/x2 - x1)

100

Find the Slope of line that contains these two points: ( 8, 0) and (9, -1).

What is -1?

200

Find the Slope of line that contains these two points: ( 2, 2) and (5, 9).

What is 7/3?

300

Find the Slope of line that contains these two points: ( 0, 0) and (-5, -1).

What is 1/5?

400

Find the Slope of line that contains these two points: (-12, -1) and (-3, -4).

What is -1/3?

500

Find the Slope of line that contains these two points: (-11, 7) and (-11, -2).

What is undefined?

Slope-Intercept & Standard Form

100

Write a linear equation with a slope of 1 and the y-intercept of -7

What is y = x - 7?

200

Identify the slope and y-intercept of the equation y = -3x

What is m = -3 and b = 0?

300

Identify the slope and y-intercept of the equation 2x + 5y = 20

What is m = -2/5 and b = 4?

400

Identify the slope and y-intercept of the equation x - 2y = 2.

What is m = 1/2 and b = -1?

500

Find the x and y intercepts of the equation 4x - y = 4.

What is x = 1 and y = -4?