Algebra
Solve for x. 2(x + 4) = 5x - 3
11/3
Solve for x. x2 + 8x = 0
-8, 0
What methods are used to solve systems of linear equations?
Substitution, Reduction, Equalization
What is the set of all y-values?
Range
What is the range of the following set? {[0,2], [2,2] [3,2]}
2
Solve for x. ½(x -2) = ⅓(2x+5)
-16
x2 - 81 = 0
9, -9
What method would be the easiest to use to solve the following system? y = 2x + 4 , y = 5x - 7
Equalization
In the following function, which is the independent variable? T = 1/2x +10
x
Is the following set a function? {[-3,-3], [-1,-3], [0,3], [2,2], [3,3]}
Yes
4x(2+ 1/x) = 3x - 3
-7/5
Use the quadratic formula to solve for x. x2 - 3x - 4 = 0
-1, 4
What method would be the easiest to use to solve the following system? 17 = 2x + 3y , 4 = 4x - 2y
Reduction
If you can draw a vertical line through a graphed relation and it touches two points of the relation, is it a function?
No
For what values of ‘a’ is the following relation not a function? {[a, 0], [2, 1], [3,1]}
2 and 3
Form an algebraic equation given the following information. A rental car costs $15 to rent and then $0.50 per kilometer driven.
y = 15 + 0.5x
Solve for x. x2 + 16 = 0
No solution
Solve the system: 2y = 4x + 6 , 3y = 6x + 9
Infinite solutions
In the generic linear equation y = mx + b, which letter represents the slope of the function?
m
If a line has slope 3 and y-intercept of 2. What is the equation of the line?
y = 3x + 2
A father is 37 years old and his son is 11. In how many years will the father be double the son’s age?
x = 15
(x+1)(x-1) = 2(x2-13)
5, -5
Solve the system: y - 3x = 2 , y = 3x - 2
No solution
Given the generic linear function y = mx + b, what letter represents the y-intercept, or the value of y when x = 0?
b
Given the two points {[0,1], [1,3]} graph the linear function and find the formula in the form y = mx + b
y = 2x + 1