Equation of a Line
Absolute Values
Linear Systems
Radicals
Quadratic Equations & Polynomials
100
Find the slope of the line that passes through the points
(3, 2) and (5, 6).
2
100
cbrt(27)
2
100
Solve the following equation.
x − 3(3 − 2x) = 5
x = 2
100
Evaluate.
sqrt(-3^2)
Term is not defined.
100
Solve the following quadratic equation in the simplest radical form.
1001x^2+1000 = 0
No real solution.
200
2x + 3y = -4
Find the slope, x-intercept, and y intercept
Slope: -2/3
x-intercept: (-2, 0)
y-intercept: (0, -4/3)
200
Evaluate
abs(-1 + abs(2) - abs(3) + abs(-4) - 5)
3
200
The area A of a trapezoid with bases a, b and height h is calculated by the formula
A = (a+b)/2 h
Using this formula, find b in terms of A, a, and h.
b = 2A/h-a
200
Express in simplest radical form.
4/sqrt8
sqrt2
200
Solve the following quadratic equation:
9x2-6x+1=0
x= 1/3
300
Draw the line -5x + 1 = 0.
300
Solve the inequality for x.
6 + abs(1 - 5x) <= 3
There is no value of x that makes this true.
300
For temperature conversion from Fahrenheit to Celsius, the following formula is
C = (F-32)*5/9
Using this formula, create a temperature conversion from Celsius to Fahrenheit.
F = 9/5C + 32
300
Simplify.
(-2sqrt(4x))^2
16x
300
The hypotenuse of an isosceles right triangle is 8 ft long. Find the area of the triangle.
16 ft2
400
Can a line have a positive slope and positive y-intercept and pass through the point (-1, 5)?
If yes, give an example.
If not, explain why.
Yes.
Example can vary: y = 6x + 1
400
Find all values of x that makes the following statement true.
-3 + abs(1-2x) = 2
x = -2, 3
400
For temperature conversion from Fahrenheit to Celsius, the following formula is
C = (F-32)*5/9
Find a temperature such that both Fahrenheit and Celsius gives the same reading.
-40 degrees
400
Find the reciprocal of
3 - sqrt5
(3+sqrt5)/4
400
Create a quadratic equation with the roots
3 and -5
y = x^2 + 2x - 15
500
Line L has the equation 3x + 5y = 8.
Find a line that passes through the point (4, 6) and is perpendicular to Line L.
-5x + 3y = -2
or an equivalent line.
y = (5/3)x - 2/3
(y - 6) = (5/3)(x - 4)
500
Solve the inequality for x.
abs(1 - 5x) <= 6
x <= 7/5
x >= -1
500
Ann drove in her car 2 hours at a constant speed and then reduced the speed by 15 mi/h and drove 3 hours more. Find the speed of the car on both segments of Ann’s trip, if Ann drove a total of 275 miles.
She drove 64 mi/h and then reduced her speed to 49 mi/h.
500
Express in simplest radical form.
(sqrt(6)-sqrt(2))/(sqrt(2)+sqrt(3))
-2sqrt(3) + 3sqrt(2) + 2 - sqrt6
500
The area of a circle is 24 in2. Find the circumference of the circle.
4*sqrt(6pi)
inches