AMC 1.6-1.10 Review

Parallel/Perpendicular

100

What is the slope of the line parallel to the line whose equation is y=-2x+4

m=-2

200

What is the slope of the line perpendicular to the line whose equation is y=(1/3)x+2

m=-3

300

What is the slope of the line parallel to the line whose equation is x+y=2

m=-1

400

What is the slope of the line perpendicular to the line whose equation is 3x-2y=6

m=-(2/3)

500

What is an equation of the line that passes through the point (-5,2) and is parallel to the line 4x−5y=5 in slope intercept form

y=(4/5)x+6

Distance/Midpoint

100

What is the distance formula used to calculate?

The distance between two points on the coordinate plane

200

Find the midpoint of the line segment with endpoints (4,5) and (9,2)

(13/2, 7/2)

300

Find the distance between the points (4,0) and (2,-9) in simplest radical form

sqrt(85)

400

Find the midpoint of the line segment with endpoints (-6,-6) and (4,-2)

(-1,-4)

500

Find the distance between the points (-3,7) and (-5,3) in simplest radical form

2sqrt(5)

Inequalities

100

What causes inequalities to flip

when you multiply or divide by a negative number

200

Solve the inequality 2x-8 is greater than or equal to zero

x is greater than or equal to 4

300

Solve the inequality 6+8x is greater than or equal to -34

x is greater than or equal to -5

400

Solve the inequality -3x-7 is less than or equal to -22

x is greater than or equal to 5

500

Solve the inequality -8x+3 is greater than or equal to-37

x is less than or equal to 5

Absolute Value

100

Solve for all possible values of a if |a-15|=28

a=43, a=-13

200

Solve for all possible values of y if |7y|=35

y=5, y=-5

300

Solve for all possible values of b if |b/12|=6

b=72, b=-72

400

Solve for all possible values of p if |7-4p|=47

p=-10, p=27/2

500

Solve for all possible values of c if 2|2c-2|=20

c=6, c=-4

Absolute Value Inequalities

100

Solve for the following inequality if |x-4| is less than 11

x is greater than -7 and x is less than 15

200

Solve for the following inequality if |x+3| is greater than or equal to 8

x is greater than or equal to 5 and less than or equal to -11

300

Solve for the following inequality if |4b+10| is greater than 12

b is greater than 1/2 or less than -11/2

400

Solve for the following inequality if |-2c+1| is greater than 1

c is less than 0 or greater than 1

500

Solve for the following inequality if |9-5y| is less than or equal to 59

y is greater than or equal to -10 and less than or equal to 68/5