Linear Equations Review

Intercepts

100

f(x) = 3x - 8

Find f(-5)

f(-5) = -23

200

Is (-4, 7) a solution to y=-2x-1?

yes

300

The x- and y-intercepts of 3x + 9y = 27

What is x = 9 and y = 3?

400

The x- and y-intercepts of the graph of -2x + 6y = 12

What is x = -6 and y = 2?

500

The x- and y-intercepts of y = (-4/5) x - 8

What is x = -10 and y = -8?

Slope/Rate of Change

100

The slope of a line that goes through (-1, 7) and (3, 9)

What is 1/2?

200

The slope of a line that passes through (0.5, -2) and (5.5, 1)

What is 3/5?

300

The slope of a line with the equation y = -6x - 8

What is -6?

400

The slope of a line of the equation 4x + 3y = 8

What is -4/3?

500

Function A:   x| -7 | -5 |

                   y|-10 | -6 |

Function B: y=3x-4 

Which has a greater rate of change?

a) Function A has a greater rate of change by 1

b) Function B has a greater rate of change by 1

B) Function B has a greater rate of change by 1

Slope-Intercept Form

100

The equation 4x - 2y = 10 written in slope intercept form

What is y = 2x - 5?

200

The slope and y-intercept of the line of the equation y = 50 - 3x?

What is m = -3 and b = 50?

300

The equation of a line (in slope-intercept form) that has m=6 and b=(0,4)

What is y = 6x + 4?

400

The equation of a line (in slope-intercept form) that passes through (-3, -2) and (-6, -5) and the y-intercept is 1

What is y = x + 1?

500

What is this equation, 3x+2y=4 in slope intercept form?

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

Standard Form

100

y = -7x + 6 written in standard form with only integers, and where A (Ax + By = c) is positive

What is 7x + y = 6?

200

y = 2x + 5 written in standard form with only integers, and where A (Ax + By = c) is positive

What is 2x - y = -5?

300

y = 7x - 9/10 written in standard form with only integers, and where A (Ax + By = c) is positive

What is 70x - 10y = 9?

400

y = -9x + 4/5 written in standard form with only integers, and where A (Ax + By = c) is positive

What is 45x + 5y = 4?

500

Write the equation of a line in standard form that has a slope of 3/5 and a y-intercept of 2.

3x-5y=-10

Point-Slope Form

100

Write an equation of a line in point-slope form that passes through (-4,11) and has a slope of 3/4.

y-11=3/4(x+4)

200

Write the equation of a line with a slope of 4 and passes through (-6, 7) in point-slope form

y-7=4(x+6)

300

Write an equation of a line that goes through the point (0,3) with a slope of -2/5.

y-3=-2/5(x-0)

400

Write the equation of the line in point-slope form

x  /   y

-2  /  -16

5  /   33

-1  /  -9

y+16=7(x+2) or y-33=7(x-5) or y+9=7(x+1)

500

Write an equation of a line that passes through (5,6) and (0,11).

y-6=-1(x-5) or y-11=-1(x-0)