WorksheetsSTUDY GUIDE #2
Total questions: 49
Worksheet time: 4hrs 5mins
The solutions of a system of linear inequalities are the (a) that are solutions to (b) inequalities in the system. On a graph the solutions to a system of inequalities is the of the half-planes or where the shaded regions
The solution of this equation has an error. Identify at which step the error occurred.
2 ( x + 4) + 6 = 14
Step 1
Step 2
Step 3
Step 4
Which sequence has a common difference of 1.25?
0, -1.25, -2.5, -3.75, -5
0, 1.25, 2.5, 3.75, 5
0, 0.25, 0.5, 0.75, 1
0, -0.25, -0.5, -0.75, -1
Shelby's printer has 500 sheets of paper in it. After Monday, there were 466 sheets of paper. After Tuesday, there were432 sheets of paper. After Wednesday, there were 398 sheets of paper. If this pattern continues, how many sheets of paper will be left after Friday?
Raymond is filling his kitchen sink to wash dishes. After one minute, there are 2.75gallons of water in the sink. After two minutes, there are 5.5 gallons of water in the sink. After three minutes, there are 8.25 gallons of water in the sink. IF this pattern continues, how many gallons of water will be in the sink after five minutes?
How many hexagons would be in the 19th figure of the arithmetic pattern?
Find the 11th term of the arithmetic sequence graphed below.
The y-intercept of the line y = –4x – 7 is __.
What is the y-intercept of the line y=−32x?
What is the slope of the line y=−32x?
Rewrite the equation y = –2x + 5 in general form.
–2x + y – 5 = 0
–2x – y + 5 = 0
2x – y + 5 = 0
2x + y – 5 = 0
Which of the following is equivalent to the equation y=−5x−32?
15x + 3y + 2 = 0
5x+y+32=0
−5x−y−32=0?
–15x – 3y – 2 = 0
What is the slope of the line passing through points (x, y) and (p, q)?
For the line 3x – 4y – 12 = 0, which statement is true?
The x-intercept is 3 and the y-intercept is 4.
The x-intercept is 3 and the y-intercept is –4.
The x-intercept is 4 and the y-intercept is 3.
The x-intercept is 4 and the y-intercept is –3.
The equation 3x – 6y – 2 = 0 in slope-intercept form is
What is the slope of the line with an x-intercept of 4 and a y-intercept of –3?
−34
−43
43
34
Identify the equation in general form for the line with slope 3 and y-intercept –4.
Points C(5, 7) and D(–3, –12) are on a line. What is the run from point D to point C?
-8
-5
8
19
Points M(2, 9) and N(–1, 3) are on a line with y-intercept –4. What is the equation of the line?
y = –4x – 2
y = –2x + 4
y = 2x – 4
y = 4x + 2
Mina’s Catering Service is organizing a formal dinner for 280 people. The hall has two kinds of tables, one that seats 4 people and one that seats 10 people. The hall can contain up to a total of 52 tables. Let x represent the number of 4-seat tables and y the number of 10-seat tables. Write and graph a system of inequalities that can be used to determine the possible combinations of tables that can be used for the event so there are enough seats for all the people.
What is the solution to the system ?
Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection.
What number of months will they have the same number of CDs?
2 months
1 month
33 months
3 months
What is the value of x + y in the system?
1
5
-5
-1
How many solutions does the system have?
one solution
two solutions
infinitely many solutions
no solution
Which graph represents this system of equation?
x + y ≤ 8
2x + 8y ≤ 14
8x + 25y ≤ 14
x + y ≤ 14
What is the value of
Which expression is equivalent to the sum of the sequence 6, 12, 20, 30?
Which summation represents 5 + 7 + 9 + 11 + ... + 43?
Complete the equation for the nth term of the given arithmetic sequence.
6, 11, 15, 21, ...
Maria drops a stone from the top of a building. The stone falls 2.0 meters in the 1st second. If it has fallen 149 meters by the 50th second, how many meters would the stone have fallen after 10 seconds?
When graphing a system of linear inequalities, a dashed line is used to represent 'less than' or 'greater than' inequalities. (a)
A feasible region for a system of linear inequalities is represented by the overlapped area on a graph (a)
A system of linear inequalities always has infinitely many solutions. (a)
If a system of equations has infinite solutions, what does the graph look like?
intersecting lines
parallel lines
perpendicular lines
coinciding lines
What is the result of the correct first step to solve this system of equations by elimination?
4x - 3y = -10
2x + 3y = 4
6x = -6
2x = -6
6x = 14
2x = 14
Select the coordinate point that is a solution to this system of equations using your method of choice.
-5x + y = -2
-3x + 6y = -12
(2, 3)
(5, 4)
(3, 1)
(0, -2)
When using substitution to solve this system of equations, what is the result of the first step?
y = x + 1
2x + 3y = 4
2x + 3(x + 1) = 4
2(x + 1) + 3y = 4
2x + 3x + 1 = 4
2x + 3y(x + 1) = 4
Match the system of inequalities with its graph.
x−4y≥−8
x<2
x−4y>−8
y≥2
x−4y>−8
x≥2
If elimination is the method used to solve this system of equations, what is the result of the first step?
4x +3y = 6
4x - y = 2
2y = 8
2x = 8
4y = 4
4y = 8
A ditch contains 10 centimeters of water. Rainwater accumulates in the ditch as follows: 10 centimeters of water in the 1st second, 15 centimeters in the 2nd second, 20 centimeters in the 3rd second, and so on. Assuming that the ditch has sufficient capacity for storage, how many centimeters of water will it have after 10 seconds?
Which summation will not produce 2 + 4+ 6 + 8 + 10 + 12?
The equation of line A is y = 4x – 8. Which equation represents a line that is parallel to line A?
y = 8x – 4
y = 4x + 8
y = –4x – 8
y=-8x+4
Which is an arithmetic sequence?
2, 5, 9, 14
100, 50, 12.5, 1.6
3, 10, 17, 24
-2, -1, -1/2, -1/4
There are the first three terms of an arithmetic sequence.
21 , 4 3, 1
Write the sum without sigma notation and evaluate it.
