Algebra 1 Spring Exam Review Packet
Solve the following equations if possible.
1.2.
3.4.5.
6.7.
Solve the equation. Round to the nearest hundredth. (you may use your calculator on these)
8.9.10.
11.Plot and label the ordered pairs in a coordinate plane. Indicate what Quadranteach point is in, and if not in a quadrant, state where it is.
12. Use a table of values to graph the following equations.
a. b.
13.Find the -intercept and the -intercept of the line below, and graph the equation.
a. b. c.
x-intercept: ______x-intercept: ______x-intercept: ______
y-intercept: ______y-intercept: ______y-intercept: ______
14. Write the formula for finding the slope, , of a line passing through two given points and .
15. Find the slope, , of the line passing through the given two points.
a. b.
16.Write the equation for slope-intercept form. ______
17.Write the following equations in slope-intercept form. State the slope and y-intercept. Then, graph the equation.
a.b.
18.Decide whether the graphs of the two equations are parallel lines. Explain your answer.
a. b.
What are the general equations for the three ways to write the equation of a line?
19.) ______
20.) ______
21.) ______
Write an equation of the line with the given slope and y-intercept. Write the equation in slope-intercept form.
22.) , ______23.) , ______
Write an equation of the line that passes through the given point and has the given slope. Write the equation in slope-intercept form, point-slope form, and standard form.
24.) ,
Point-Slope Form: ______
Slope-Intercept Form: ______
Standard Form: ______
25.),
Point-Slope Form: ______
Slope-Intercept Form: ______
Standard Form: ______
Graph the line that passes through the given points. Then, write the equation of the line in point-slope form, slope-intercept form, and standard form.
26.)
Point-Slope Form: ______
Slope-Intercept Form: ______
Standard Form: ______
27.)
Point-Slope Form: ______
Slope-Intercept Form: ______
Standard Form: ______
28.)
Point-Slope Form: ______
Slope-Intercept Form: ______
Standard Form: ______
Write an equation of the line for the following lines. Give the equation in slope-intercept form.
29.)A line parallel to the line , and passes through the point .
30.)A line perpendicular to and passes through the point
Solve the following linear systems by graphing.
31.
32.
Solve the following linear systems using the SUBSTITUTION method.
33.34.
Use the LINEAR COMBINATION method to solve the following linear systems.
35.36.
Graph the following linear inequality.
37.38.
Graph the following systems of linear inequalities.
39.
Use the method of your choice to solve the linear system and tell how many solutions the system has.
40.41.
Solve the inequality and graph its solution.
42. ______
43.______
44. ______
45. ______
46.______
47.______
48. 3x-2______
49. ______
50. ______
51. or ______
Solve the following absolute value equations.
52.53.
Solve and graph the following inequalities:
54.55.
Is each ordered pair a solution to the inequality?
56.57.
Find the Mean, Median and Mode of the collection of numbers.
58.
Mean: ______
Median: ______
Mode: ______
59.
Mean: ______
Median: ______
Mode: ______
Add or subtract the following.
60.61.
62.63.
Find the product.
64.65.
66.67.
68.69.
Solve the equation using the zero-product property.
70.71.
Factor the following trinomials.
72.73.
74. 75.
76.77.
Solve the equation by factoring. (Solving for x.)
78.79.
80.81.
82. Fill in the table below.
Polynomial / Degree / Classification by Degree / Classification By Number of Terms / Leading CoefficientSimplify the expression. The simplified expression should have no negative exponents.
83.84.
85.86.
87.88.
89.90.
91.92.
93.94.
Evaluate the expression.
95.96.
97.98.
99.
100. Write the number in decimal form.
______
______
______
. ______
101. Write the number in scientific notation.
______
______
______
. ______
102. Evaluate the expression. Write the result in scientific notation and decimal form.
Scientific Notation: ______
Decimal Form: ______
.
Scientific Notation: ______
Decimal Form: ______Evaluate the expressions.
Simplify the expression.
103.104.
105.106.