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Intermediate Algebra
Unit 2 Exam______
Prof. Hanson
Date ________________________
Class________________________
Name___________________________________
Answer the following questions. Show all work necessary to receive partial credit.
Determine if the relation illustrated is a function. Give the domain and range of the function or relation.
1) {(-2, 8), (-1, 5), (0, 4), (1, 5), (3, 13)}
Evaluate the function for the indicated value.
2) f(x) = -5x – 2; find f(-2)
3) f(x) = x 2 – 5x + 7; find f(-3)
1
Graph the linear function by plotting the x- and y-intercepts.
4)
-4x – 20y = 20
Graph the two equations below on the same graph.
5) x = 2 and y = -3
2
Find the slope of the line through the given points. If the slope is undefined, so state.
6)
(6, 8) and (2, -5)
Solve for k if the line through the two given points is to have the given slope.
7) (-2, -4) and (1, k), m = –
2
3
Determine the slope and y-intercept, and then use the slope and y-intercept to graph the equation.
8)
-x + 2y = 6
Slope ________
Y-intercept__________
3
Use the point-slope form of an equation to find the equation of a line with the given properties. Write the equation
in slope-intercept form.
9) Slope = -2, through (4, 7)
Two points on L1 and two points on L2 are given. Determine whether L1 is parallel to L2 , L1 is perpendicular to L2 ,
or neither. (You must use the slope formula)
10) L1 : (1, -1), (6, 1); L2 : (3, -2), (-7, -6)
Find the equation of a line with the properties given. Write the equation in the form indicated.
11) Through (4, -3) and parallel to the line whose equation is y = -3x + 7;
slope-intercept form
Determine the solution to the system of equations graphically. If the system is inconsistent or dependent, so state.
12) y = -x – 6
y=x-2
4
Find the solution to the system of equations by substitution.
13)
9x + y = 0
-9x + y = -18
Solve the system of equations using the addition method.
14) 3x + 2y = -9
-3x – 9y = 51
5

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