WorksheetsAlgebra Semester Review
Total questions: 33
Worksheet time: 1hrs 14mins
Name
Class
Date
1.
a)
y=20
b)
y=15
c)
y=14
d)
y=16
2.
A tree casts a 26-ft shadow. A boy standing near by casts a 12-ft shadow, forming similar triangles. His height is 4.5 ft. How tall is the tree?
a)
9.75 ft
b)
2.08 ft
c)
10 ft
d)
69.33 ft
3.
The scale of a map is 1 cm : 50 mi. Determine the distance between two cities that are 4.2 cm apart on the map.
a)
200 miles
b)
205 miles
c)
210 miles
d)
215 miles
4.
The temperature changed as Shelly preheated the oven, baked the bread, and turned the oven off.
a)
The graph increases, remains constant, then decreases
b)
The graph decreases, then remains constant
c)
The graph increases, then remains constant
d)
The graph decreases, remains constant, then increases.
5.
a)
This is a function; y = -x− 2
b)
This is a function; y = 5x
c)
This is a function; y = -5x
d)
This is not a function
6.
If f(x) = −5x + 11 and f(n) = 21, what is the value of n?
a)
n = 21
b)
n = −2
c)
n = 6
d)
n = 2
7.
Identify the domain and range of the relation and determine whether it is a function.
{(−3, 6), (0, 2), (1, 0), (2, −3)}
{(−3, 6), (0, 2), (1, 0), (2, −3)}
a)
Domain: {−3, 0, 2, 6}, Range: {−3, 0, 1, 2}; this relation is a function
b)
Domain: {−3, 0, 1, 2}, Range: {−3, 0, 2, 6}; this relation is not a function
c)
Domain: {−3, 0, 1, 2}, Range: {−3, 0, 2, 6}; this relation is a function
d)
Domain: {−3, 0, 2, 6}, Range: {−3, 0, 1, 2}; this relation is not a function
8.
Find the range of the function for the given domain.
f(x) = −2x + 1; {−2, 0, 2, 4, 6}
f(x) = −2x + 1; {−2, 0, 2, 4, 6}
a)
{−11, −7, −3, 1, 5}
b)
{−5, −1, 3, 7, 11}
c)
{−7, −3, −1, 5, 11}
d)
{1, 3, 5, 7, 11}
9.
What is f(-5) for the function f(x) = −9x− 3?
a)
-48
b)
-46
c)
48
d)
42
10.
a)
x + 2y= 6
b)
x - y = 3
c)
6x + 3y = 2
d)
x + y = 6
11.
What is the slope of the equation 6x + 9y= 27
a)
-2/3
b)
2/3
c)
9
d)
3/2
12.
Write the equation in slope-intercept form.
7x= 3y− 12
7x= 3y− 12
a)
y=(7/3)x+4
b)
3y−7x=12
c)
y−11=7/3(x−3)
d)
y=(3/7)x+4
13.
Find the ordered pairs corresponding to the x-and y-intercepts of the graph of the equation.
6x+12y = 24
6x+12y = 24
a)
x-intercept: (4, 0); y-intercept: (0, 2)
b)
x-intercept: (0, 4); y-intercept: (0, 2)
c)
x-intercept: (0, 2); y-intercept: (4, 0
d)
x-intercept: (4, 0); y-intercept: (2, 0)
14.
Solve the system by graphing. Tell whether the system has one solution infinity many solution, or no solution.
2x= −4y+ 10
6x= −3y + 12
2x= −4y+ 10
6x= −3y + 12
a)
infinitely many solutions
b)
one solution: (12, 15)
c)
one solution: (15, 12)
d)
no solution
15.
Solve the system using substitution.
x + 2y = −1
2x− 3y = 12
x + 2y = −1
2x− 3y = 12
a)
(3, −2)
b)
(−3, 2)
c)
(−2, 3)
d)
(2, −3)
16.
Write a system of equations to model the situation. Solve by any method.
A change purse contains a total of 100 nickels and dimes. The total value of the coins is $7. How many coins of each type does the purse contain?
A change purse contains a total of 100 nickels and dimes. The total value of the coins is $7. How many coins of each type does the purse contain?
a)
60 dimes and 50 nickels
b)
50 dimes and 50 nickels
c)
40 dimes and 60 nickels
d)
35 dimes and 65 nickels
17.
a)
-3 is the x-intercept
b)
3 is the x-intercept
18.
a)
-3 is the y-intercept
b)
3 is the y-intercept
19.
The independent variable is the _____and the dependent variable is _____.
a)
x, y
b)
y, x
20.
What is the slope of the line with the equation y - 5x = 11?
a)
-5
b)
11
c)
5
d)
-11/5
21.
What is the slope between the points
(-3, -4) & (7, 6)?
(-3, -4) & (7, 6)?
a)
0
b)
Undefined
c)
-1
d)
1
22.
Find the x and y intercepts
4x - 5y = 40
4x - 5y = 40
a)
x intercept is 10
y intercept is 8
y intercept is 8
b)
x intercept is 10
y intercept is 20
y intercept is 20
c)
x intercept is 8
y intercept is 10
y intercept is 10
d)
x intercept is 10
y intercept is -8
y intercept is -8
23.
Change the following to slope-intercept form:
5x - 5y = 25
5x - 5y = 25
a)
y = x - 5
b)
y = 5x - 1
c)
y = -x + 5
d)
y = 5x + 1
24.
What does the x intercept represent?
a)
The length of the race
b)
The amount of time it took Trish to run the race.
25.
Which point is a solution?
a)
(0, 6)
b)
(-3, 2)
c)
(2, 0)
d)
(-4, 1)
26.
Which of the following is not a solution to this system of inequalities?
a)
(0,-1)
b)
(0,3)
c)
(4,0)
d)
(6,-2)
27.
Which system of inequalities is shown?
a)
y ≥ -x - 1
y < x + 4
y < x + 4
b)
y < -x - 1
y ≥ x + 4
y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 3
y ≥ x + 3
28.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
29.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
30.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
31.
y > -2x + 1
y≤ x + 3
Which of the following is a solution?
y≤ x + 3
Which of the following is a solution?
a)
(2, 0)
b)
(-1, 2)
c)
(0, 4)
d)
(0, -4)
32.
Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8
-x + y = -13
-8x - 4y = -8
a)
(5, 8)
b)
(5, -8)
c)
(-5, -18)
d)
(-5, 8)
33.
Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16
y = -4x + 5
y = 3x - 16
a)
(-3, -25)
b)
(3,-7)
c)
(11, 17)
d)
(21, 47)
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