Expressions and Equations
Write the algebraic expression for the following situation: The length of a rectangle is 4 units greater than its width w.
What is w+4 ?
Solve
4 |x+2| = 24
What is x = -8 and 4 ?
What is D:{2,4,5,7} ?
Is the point (5,6) on the line y= x+2 ?
What is "no"?
Is (2,-2) a solution to the following system:
3x+y=4
x-3y=-4
What is no?
Simplify:
((x^3y) /(3*x^2))^(-1)
What is
((3)/(xy))
Write an algebraic for expression for the perimeter of a rectangle.
What is l+l+w+w OR 2l + 2w ?
Solve the inequality:
4 - x + 36 > 21
What is x < 19 ?
Identify the dependent and independent variables:
g(x) = 4x + 5
What is the dependent variable being g(x) and the independent variable being x ?
Classify the system:
y=-2(x-1)
y=-x+3
What is consistent and independent since it has one solution?
The sides of a triangle are -3x+4, 6x+9, and 7x-8. Find the perimeter.
What is 10x +5 ?
Simplify
(x^2 y^(1/2))^4 (y^3)^(1/3)
What is x8y3?
Solve:
7k = 4k + 15
What is k=5?
Give a value that is NOT a solution to the following inequality:
2x + 5 > 3
(can be any number less than -1)
If x = -2, which quadrant does the point (-3x, -x) lie in?
What is the first quadrant or quadrant I ?
Tell whether the ordered pair is a solution of the given inequality: (2,3) y≥2x+3
What is no?
Find the GCF of 18g2 and 27 g3 .
What is 9g2 ?
Classify the polynomial according to its degree and number of terms:
-m^4 - m^2 -1
HINT: think of using the words constant, quadratic, cubic, quartic, quintic
AND
monomial, binomial, trinomial, polynomial
What is a quartic trinomial?
q/15 - 1/5 = 3/5
What is q=12 ?
Solve:
-3 < x + 2 < 7
What is -5 < x < 5 ?
ALSO CAN BE WRITTEN AS:
-5 < x and x < 5
Identify the x- and y-intercepts for 2x-4y=4 .
What are x=2 and y=-1 ?
Casey wants to buy a gym membership. One gym has a $150 joining fee and costs $35 per month. Another gym has no joining fee and costs $60 per month.
If Casey plans to cancel in 5 months, which is the better option for him?
What is the second option?
It costs only $300 while the other option costs $325.
Find the 6th term of the geometric sequence:
1,3,9,27, ....
What is 243?
Find the volume of a rectangular prism with the side lengths of x+2, x+5, and x.
An orange contains about 80 milligrams of vitamin C, which is 10 times as much as an apple contains.
Write and solve an equation to find the amount of vitamin C in an apple.
What is 80 =10a when a=8mg ?
Solve:
| x-7| + 10 > 12
What is x<5 OR x>9 ?
Write an equation in slope-intercept form for the line that is perpendicular to y=-3x +4 and that passes through (6,-2).
What is y= 1/3 x -4 ?
Describe the transformation from f(x) to g(x).
f(x)=5x
g(x)=-5x
What is a reflection about the y-axis ?
-16, 4, -1, 1/4, ....
What is -1/256 ?
The starting population of Virginia in the year 2000 is 7,400,000. The population increases by 1.054 each year over x years. What is the equation to show what the population will be in x years?
(Hint: exponential equation)
What is y=7,400,000 (1.054)x ?