Algebra 1 Fall Final Exam Review 2015-16
#1 – 6 Solve.
1.
4=x–3
2.
40 – 17 + 6x = 53
3.
3x
+13 = 7
7
4.
2x – 9 = 3x – 7
5.
6 – 3d + 3d – 6 = 5d
6.
3
x = 27
8
7.
Translate the following sentence. The sum of x and 8 is two less than three times x.
8.
Translate the following sentence into an equation. The difference of twice a number x and
10 is 7 more than 3 times x.
#9 – 11 Solve the proportion.
9.
2 1
=
5p 15
10.
x -8 2
=
5
4
11.
x -1 3
=
x +3 7
12.
Find the percent of change. Original 95, New: 150
13.
Find the percent of change. Original 52, New: 46
14.
A cell phone costs $99. If the sales tax is 7%, what is the total price?
15.
A shirt costs $32. It is on sale for 40% off. What is the price of the shirt before tax?
#16 – 19 Solve the inequality.
16.
4(2x – 1) > -12
17.
15£ m- 9
18.
5<
19.
3x +14 ³ 4x -6
20.
Translate the following sentence. Seven is at most 3 less than a number.
21.
Graph the solution set: x ³ -6 and x < -2
22.
What is the solution set of 2x < -8 or 3x +1³10 ?
-n
+1
3
#23 – 25 Solve the absolute value.
23.
x -4 =3
24.
x +3 <6
25.
2x -1 ³5
26.
Where does the graph of y = 2x -14 intersect the x-axis?
27.
Find the slope of the line that passes through the points (2,-9) and (4,6)
28.
What is the slope of a horizontal line?
29.
What is the slope of a vertical line?
30.
Write y +2= -3(x - 4) in standard form.
31.
Write 2x +3y = 6 in slope-intercept form.
#32 – 34 Write the equation in slope-intercept form.
32.
A line with slope -3 and y-intercept 9.
33.
A line through (-5, 7) with slope undefined.
34.
A line through (3, 2) with slope 0.
35.
Graph the equation: y =
36.
Graph the equation: x + 3y = 6
37.
What is the standard form of y + 4 = 3(x -1) ?
38.
Write an equation in point-slope form that passes through (0, 3) with a slope of -2.
39.
What is a characteristic of perpendicular lines?
40.
Write an equation in slope-intercept form that passes through (-3, 5) and is parallel to
y = 2x – 1.
42.
Write an equation in slope-intercept form that passes through (4, -1) and is perpendicular
to y = 2x + 7.
43.
Sketch a scatter plot with a positive correlation.
44.
Graph the inequality: y < 2x -1
45.
1
Graph the inequality: y ³ - x + 4
3
46.
How many solutions exist for the system of equations?
47.
Solve the following system of equations:
x-y= 3
2x - 5y = 15
48.
Solve the following system of equations:
3x + y = 3
3x - 5y = 21
49.
If x = -2 and 5x - y = 15 , what is the value of y?
50.
Determine the best method to solve the system of equations:
2x + 7y = 34
3x + 2y = 17
51.
Is (5, -2) a solution to the following system of inequalities?
y > -2x +1
y £ x+3
1
x-3
2
y = 5x + 6
y + 5x = 6
52.
Simplify:
(-2x 3 y 2 )3 (5xy-2 )
53.
Simplify:
6ab5 (2a3b 4 )2
54.
Simplify:
8x 6 y0 z -5
55.
Simplify:
-3-2
56.
A rectangular garden has a fence around the perimeter. The length of the fence is 12x 4 and
the width is 21x 5 . What is the area of the garden?
57.
Write the expression in simplest form:
58.
What is 2 · 3x if x = 3?
59.
What is the common ratio for the geometric sequence? 3, -6, 12, -24, 48, …
60.
Write the explicit formula for the geometric sequence: 4, 12, 36, 108, 324, …
and
3-2
and
(-3)-2 and
1
3-2
(3x 0 y3z)2