Algebra 1 Review
Name:________________________
Quarter 2 Test (The test has 25 questions for 25 points)
Date:_________ Block:_________
Topic 1: Solving and Justifying Equations
Match each example to its property of equality:
_____ 1) a = a.
a) Transitive
_____ 2) If c = d, then d = c.
b) Reflexive
_____ 3) If a = b+2 and b+2 = c, then a = c.
c) Symmetric
Solve each equation. You should check your solution!
1
2x + 4 + x -3= 2x -1 ______
4)
5) 4 + 2(x – 3) = 3(x – 1) – x ______
2
(
)
6) 3(2x – 4) =
(
)
2
6x - 9
3
______
7) -4(2x – 5) = 5( x + 4)
_______
Topic 2: Functions
Decide if each is a function or a relation.
y
8)
y
9)
x
y
10)
11)
y
x
x
f(x) = x2 – 4
x
12) Is the set of ordered pairs a function?
{(1, 2), (2, -3), (5, 2), (3, -3)}
_______
13) Is the set of ordered pairs a function?
{(1, 2), (2, -3), (5, 2), (2, -4)}
_______
14) What is the range and domain of #13: D = ___________________________________________________
R = ____________________________________________________
15) What is the domain and
range of the graph: D = ____________________________________________
y
R = ____________________________________________________
x
16) What is the domain
y and range of the graph: D = ____________________________________________
R = ____________________________________________________
x
Topic 3: Graphing Linear Equations
17) What are the x- and y-intercepts and slope of the line 3x – 4y = -12?
_________________________________________________________________________________________________________
18) What is the slope and y-intercept of the line y = -3 – 2x?
_________________________________________________________________________________________________________
Graph the following equations.
1
19) y = - x - 4
2
20) 2x – 5y = 6
y
21) 3x + 4y = -12
y
22) x = -2
y
x
y
x
x
x
Match each graph to the description of its slope.
____
____
____
____
23)
24)
25)
26)
Postive
Negative
Undefined
Zero
A)
B)
y
C)
y
x
x
D)
y
y
x
Find the slope between each pair of points.
27) (-2, 4) and (-4, 8) _______
28) (-1, 3) and (-1, -5) _______
29) (-7, 4) and (3, 8) _______
30) (3, -5) and (5, -5) _______
31) Look at the graph. What is the rate of change?
_________________________
x
32) If a line is graphed as y = x, what is the change you would notice in the line y = x – 2?
_______________________________________________________________________________ (describe the change)
y
33) What is the apparent slope of the line graphed?
_______________
x
34) What is the apparent equation of the line graphed?
_______________
Topic 4: Writing equations.
Write the euqation in slope-intercept form with the following information.
35) A line that passes through the points (4, 2) and (2, -6).
___________________________
36) A line that has a slope of -2 and passes through the origin. ___________________
37) A line that has a slope of 2 and passes through the point (-3, 5). ________________________
Write the slope-intercept form of the following equations.
38) x – 5y = 10 ______________ 39) 2x – 3y = 6
____________ 40) x + 2y = -4 _______________