Problem 1
Plot the points whose coordinates are given on a Cartesian coordinate system. $$(2,4),(0,-3),(-2,1),(-5,-3)$$
Problem 5
Find the slope of the line that passes through the given points. $$(0,0) \text { and }(0,4)$$
Problem 11
Solve and check each equation. $$0.2 x+0.4=3.6$$
Problem 14
Find the distance between the points whose coordinates are given. $$(a-b, b),(a, a+b)$$
Problem 16
Evaluate the indicated function, where \(f(x)=x^{2}-3 x+2\) and \(g(x)=2 x-4\). $$(f+g)\left(\frac{2}{3}\right)$$
Problem 17
Find all points on the \(x\) -axis that are 10 units from (4,6) (Hint: First write the distance formula with (4,6) as one of the points and \((x, 0)\) as the other point.)
Problem 17
Graph \(y\) as a function of \(x\) by finding the slope and \(y\)-intercept of each line. $$y=-\frac{1}{3} x+4$$
Problem 18
Evaluate the indicated function, where \(f(x)=x^{2}-3 x+2\) and \(g(x)=2 x-4\). $$(f-g)(24)$$
Problem 22
solve each quadratic equation by factoring and applying the zero product property. $$12 w^{2}-41 w+24=0$$
Problem 24
Evaluate the indicated function, where \(f(x)=x^{2}-3 x+2\) and \(g(x)=2 x-4\). $$(f g)(-100)$$