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Algebra
Name: _____________________
CH 4 and 5 Review
Date: ______ Group: __________
Topics corresponding to sections in the text book
You should refer to problems in this packet and the textbook to review for your
unit test!
Find the slope of a line given two points – 4.4
Write the equation of a line in slope intercept form – 4.5
Write the equation of a line given:
 The slope and the y-intercept of the line – 5.1
 The line graphed on the coordinate plane – 5.1
 The slope and a point on the line – 5.2
 Two points on the line – 5.2
 The equation of a line parallel to the line and a point on the line – 5.2
 The equation of a line perpendicular to the line and a point on the line – 5.2
Model a real-life situation with algebra (equation)
Determine if a point in a solution to an equation (lies on the line) – 4.2
Find the x- and y-intercepts of a line given the equation of a line – 4.3
Sketch the graph of a line using:
 The slope-intercept form of the line – 4.5
 The slope and y-intercept of a line – 4.5
 The x-and y-intercept of a line – 4.3
 A table of values - 4.2
Solving Equations – Chapter 3
Chapter 3 Review
Solve and Check each equation.
1.
3(x – 12) = 5x + 2
2.
-2(4 – x) – 7 = 5
3.
2
(3 x  9)  4( x  6)
3
4.
-9(5 + x) = -10 – 2x
Chapter 4 Review
1.
Decided whether the given ordered pair is a solution of the equation.
a. 5x + 3y = 2; (1, -1)
2.
b.
½x + 4 = 10y; (2, ½)
Find the x- and y-intercepts of the graph of the equation.
a. 4x + 5y = 8
b.
4y + 9 = 5x
c. 7 – 12x = 3y
3.
3y – 10x = 4
Find the slope of the line passing through the given points.
a. (-4, 6), (-3, 2)
4.
d.
b.
(-10, -7), (1, -2)
Write the equation in slope-intercept form then sketch the graph.
a. 6x – 3y = 3
b.
2y + x = 10
5.
Decide whether the graphs of the two equations are parallel lines.
a. y = 3x + 2, y =
1
x
3
b.
3y = 15x + 4, y = 5x + 1
Chapter 5 Review
1.
Write an equation of the line in slope-intercept form.
a. The slope is -3; the y-intercept is 5.
b. The slope is 4; the y-intercept is 0.
2.
Write an equation of the line in slope-intercept form, given the following
information.
a. (0, 3); (-4, 0)
b.
(3, 2); m = ½
c. (-5, 3); (4, -5)
d.
(1, 2); m = 2
e. parallel to the line y = 2x + 3, passing through (-4, 1)
f. perpendicular to the line y = -3x + 5, passing through (4, 3)
3.
You are at the music store looking for CDs. The store has CDs for
$10.99 and $14.99. You have $55.00 to spend. Write an equation that
represents the different numbers of $10.99 and $14.99 CDs that you can
buy.
4.
You have $12 to buy peaches and blueberries for a fruit salad. Peaches
cots $1.50 per pound and blueberries cost $4.00 per pound. Write a
linear equation that models the different amounts of peaches and blue
berries that you can buy.