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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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