Download Algebra 2 Unit 3.1

Mr. Lusk
Honors Algebra II
3.1-3.4 Review
Name_____________
Part 1: Open Sentences in two variables.
Solve each equation if the domain of x is {-1,0,2}
1.) x – 2y = 1
2.) –x + 2y = 0
Complete each ordered pair to form a solution of the equation.
3.) x – y = 3
4.) 2x + 5y = 20
(-2, _____)
(0, _____)
(______, -1)
(0, ______) (5, ______) ( _____, 0)
Solve:
5.) Brian wants to take exactly $1.00 to the garage sale. If he only has
dimes and quarters, what combination of coins could he take?
____________________________________________
Mr. Lusk
Honors Algebra II
3.1-3.4 Review
Name_____________
Part 2: Graphs of linear equations in two variables.
Give the coordinates of the points where the graph of each equation
crosses the coordinate axis.
6.) y – 3x = 3
________________, ________________________
7.) 50y = 5 – x
_______________, _________________________
Graph each equation:
8.) x + y = 6
9.) 3x – y = 6
10.) 2x – 3y – 6 = 0
11.) 3x – 5y = -15
Mr. Lusk
Honors Algebra II
3.1-3.4 Review
Name_____________
Part 3: Slope & finding an equation of a line.
Find the slope of each line.
12.) y + 4x = 5 m = ________
13.) 3x + 2y = 4
m = ________
Find an equation in standard form for the line having the given slope m
and intercept b.
14.) m = 3, b = 5 _____________________________
15.) m = ¼ , b =
1
____________________________
3
Find an equation in standard form for the line passing through the
given points.
16.) (0, 4) (3, 6) ______________________________
17.) (-2,3) (-2, -3) ______________________________
Mr. Lusk
Honors Algebra II
3.1-3.4 Review
Name_____________
Find an equation in standard form of the line containing point P and
having slope m.
18.) P(4,1) m = -1 _____________________________
19.) P(3, 4) m = -
5
________________________________
4
Find equations in standard form of the lines through P that are
a.) Parallel to line L
b.) Perpendicular to line L.
20.) P(0, -5) L: y = ¾ x + 2
a.) _______________________
b.) _______________________