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Linear Equations
Linear Systems
Exponent Properties
Factoring
Write an Equation
100
Calculate the slope of a line that passes through (1,2) and (4,3).
What is 1/3
100
Solve y = x + 4 and y = 3x using substitution.
What is (2,6)
100
Simplify (n^-6)(n^-9)
What is n^-15
100
Factor d^2 + 8d + 7
What is (d + 7)(d + 1)
100
A passenger train’s speed is 60 mi/h, and a freight train’s speed is 40 mi/h.The passenger train travels the same distance in 1.5 h less time than the freight train. How long does each train take to make the trip?
What is 60(x - 1.5) = 40x
200
Find the slope of a line that passes through (-5,-2) and (-5,3).
What is undefined
200
Solve x + y = 0 and x = y + 4 using substitution.
What is (2,-2)
200
(-2d^3c^3)(6d^4c^6)
What is -12d^7c^9
200
Factor x^2 + x - 6
What is (x + 3)(x - 2)
200
The length of a rectangle is 4 in. greater than the width.The perimeter of the rectangle is 24 in. Find the dimensions of the rectangle.
What is (w + 4) + (w + 4) + w + w = 24
300
Find the slope and y-intercept of y - 3 = -0.5x.
What is slope = -1/2 y-int = 3
300
Solve 3x - 8y = 32 and -x + 8y = -16 using elimination.
What is (8,-1)
300
(12b^-2)^2
What is 144b^-4
300
Factor 2x^2 + 3x + 1
What is (2x + 1)(x + 1)
300
The length of a rectangle is twice the width.The perimeter is 48 in. Find the dimensions of the rectangle.
What is w + w + 2w + 2w = 48
400
Calculate the x- and y- intercepts of x + 3y = -3.
What is -1 and -3
400
Solve 5x + 9y = 112 and 3x - 2y = 8 using elimination.
What is (8,8)
400
((5a^0b^4)/(c^-3))^2
What is 25b^4c^6
400
Factor 11x^2 - 54x - 5
What is (11x + 1)(x - 5)
400
At 10:00 A.M., a car leaves a house at a rate of 60 mi/h. At the same time, another car leaves the same house at a rate of 50 mi/h in the opposite direction. At what time will the cars be 330 miles apart?
What is 60x + 50x = 330
500
Write y = -6x - 38 in standard form.
What is 6x + 1y = -38
500
Set up a system and solve. At an ice cream parlor ice cream cones cost $1.10 and sundaes cost $2.35. One day the receipts for a total of 172 cones and sundaes were $294.20. How many cones were sold?
What is x + y = 172 1.10x + 2.35y = 294.20 1.10(172 - y) + 2.35y = 294.20 189.2 - 1.10y + 2.35y = 294.20 189.2 + 1.25 y = 294.20 y = 84 x = 88
500
(s^-4/t^-1)^-2
What is s^8/t^2
500
Factor 10y^2 - 29y + 10
What is (5y - 2)(2y - 5)
500
The sum of four consecutive odd integers is 216. Find the four integers.
What is n + (n + 2) + (n + 4) + (n + 6) = 216