WorksheetsAlgebra - Ch 6 Review - Systems
Total questions: 46
Worksheet time: 4hrs 50mins
Name
Class
Date
1.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
2.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
3.
When you graph the exact same equation twice,
a)
you will have no solution.
b)
you will have one solution.
c)
you will have infinite solutions.
d)
you will graph a giraffe.
4.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
5.
Solve the following system by graphing. What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
6.
Solve the following system by substitution. What is the solution?
a)
(1, -2)
b)
(-2, 1)
c)
(-4, 1)
d)
(2, 1)
7.
Solve the system using any method.
−4x − 4y = 0
4x + 4y = 0
−4x − 4y = 0
4x + 4y = 0
a)
(−6, −4)
b)
Infinite number of solutions
c)
No solutions
d)
(6, 4)
8.
Solve for x and y using any method we've learned!
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
9.
Solve the system of equations below:
9x - 4y = 1
-3x + 8y = -47
9x - 4y = 1
-3x + 8y = -47
a)
(3, -7)
b)
(-3, 7)
c)
(-3, -7)
d)
(-7, -3)
10.
Solve by elimination:
3x+7y=23
-3x-7y=-17
3x+7y=23
-3x-7y=-17
a)
No solution
b)
ARN
c)
(-3,3)
d)
(3,3)
11.
Solve by graphing:
y=5x+3
y=-2x-4
y=5x+3
y=-2x-4
a)
(2,-1)
b)
(-1,-2)
c)
(1,-2)
d)
(-2,-1)
12.
Solve by elimination:
9x-4y=7
x-4y=-17
9x-4y=7
x-4y=-17
a)
(-1,5)
b)
(-7,5)
c)
(7,5)
d)
(3,5)
13.
The solution of a system of linear equations is...
a)
the y-intercept (b)
b)
the intersection of the two equations on a graph
c)
the second equations' answers
d)
the slope (m)
14.
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
a)
x + y = 33
y = 2x - 3
y = 2x - 3
b)
x + y = 33
x = 2y - 3
x = 2y - 3
c)
x + y = 33
x = 3 - 2y
x = 3 - 2y
d)
x + y = 3
x = 33 - 2y
x = 33 - 2y
15.
There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?
a)
x + y = 15
4x + 2y = 44
4x + 2y = 44
b)
4x + 2y = 15
x + y = 44
x + y = 44
c)
x = 2y + 44
4x = y + 15
4x = y + 15
d)
2x - 4y = 44
x - y = 15
x - y = 15
16.
Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?
a)
4x + 6y = 3
13.5x - 13y = 6
13.5x - 13y = 6
b)
x + y = 4
x - y = 6
x - y = 6
c)
4x + 6y = 13
3x + 7y = 13.5
3x + 7y = 13.5
d)
4x - 6y = 13
3x - 7y = 13.5
3x - 7y = 13.5
17.
The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?
a)
S + A = 530
3S + 4A = 1740
3S + 4A = 1740
b)
S + A = 530
4S + 3A = 1740
4S + 3A = 1740
c)
S + A = 1740
3S + 4A = 530
3S + 4A = 530
d)
S + A = 1740
4S + 3A = 530
4S + 3A = 530
18.
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
a)
x + y = 1550
y = 4x
y = 4x
b)
x + y = 1550
y = x + 4
y = x + 4
c)
y - x = 1550
y = 4x
y = 4x
d)
y = 1550 + x
y = x + 4
y = x + 4
19.
Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?
a)
x - y = -10
x + y = -2
x + y = -2
b)
x = -2
y = 5
y = 5
c)
x + y = -2
x - y = -10
x - y = -10
d)
x + y = -10
x - y = -2
x - y = -2
20.
At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?
a)
t + n = 54
t = 3n + 8
t = 3n + 8
b)
t + n = 54
n = 3t + 8
n = 3t + 8
c)
t + n = 54
t = 3n - 8
t = 3n - 8
d)
t + n = 8
t = 3n + 54
t = 3n + 54
21.
Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?
a)
x + y = 6
14.80x + 17y = 91
14.80x + 17y = 91
b)
x + y = 91
14.80x + 17y = 6
14.80x + 17y = 6
c)
x + y = 6
14.80y + 17x = 91
14.80y + 17x = 91
d)
x + y = 91
14.80x+ 17y = 6
14.80x+ 17y = 6
22.
Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?
a)
x + y = 1430
20x + 50y = 49
20x + 50y = 49
b)
x + y = 49
10x + 5y = 1430
10x + 5y = 1430
c)
x + y = 49
20x + 50y = 1430
20x + 50y = 1430
d)
x + y = 49
x + y = 1430
x + y = 1430
23.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined.
a)
35 nachos, 52 sodas
b)
18 nachos, 69 sodas
c)
52 nachos, 35 sodas
d)
61 nachos, 26 sodas
24.
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many nickels and dimes did Dennis earn?
a)
40 nickels, 40 dimes
b)
52 nickels, 28 dimes
c)
28 nickels, 52 dimes
d)
30 nickels, 50 dimes
25.
Consider the function y<2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
None of these.
26.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
27.
Which point below is NOT a part of the solution set?
a)
(0, 0)
b)
(0, 1)
c)
(-100, -3)
d)
(5, 10)
28.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
29.
Which of the following equations match the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤ 2/5x + 1
d)
y ≥ -2/5x - 1
30.
When you graph an inequality, you used a solid line when you use which symbols?
a)
≤, ≥
b)
<, >
31.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
32.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x and y ≤ -2x + 4
b)
y > 3x and y > -2x + 4
c)
y < 3x and y > -2x + 3
d)
y > 3x and y < -2x + 4
33.
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)
34.
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
35.
This graph represents the inequality y < 3, TRUE or FALSE?
a)
TRUE
b)
FALSE
36.
The given graph represents the inequality x < -1, TRUE or FALSE?
a)
TRUE
b)
FALSE
37.
When graphing an inequality, you use a dotted line when you use which symbol?
a)
<, >
b)
≤, ≥
38.
Rewrite this inequality in "y=" form to graph.
3x - 6y > 12
3x - 6y > 12
a)
y > 1/2x - 2
b)
y < -1/2x + 2
c)
y < 1/2x - 2
d)
y > -3x - 2
39.
What questions do you have for Ms. Flanagan about Chapter 6?
4 lines
40.
Are you feeling thumbs up, down, or sideways for solving systems of linear equations graphically?
a)
Thumbs up
b)
Thumbs down
c)
Thumbs sideways
41.
Are you feeling thumbs up, down, or sideways for solving systems of linear equations using substitution?
a)
Thumbs up
b)
Thumbs down
c)
Thumbs sideways
42.
Are you feeling thumbs up, down, or sideways for solving systems of linear equations using elimination?
a)
Thumbs up
b)
Thumbs down
c)
Thumbs sideways
43.
Are you feeling thumbs up, down, or sideways for solving systems of linear equations word problems?
a)
Thumbs up
b)
Thumbs down
c)
Thumbs sideways
44.
Are you feeling thumbs up, down, or sideways for graphing linear inequalities?
a)
Thumbs up
b)
Thumbs down
c)
Thumbs sideways
45.
Are you feeling thumbs up, down, or sideways for solving systems of linear inequalities?
a)
Thumbs up
b)
Thumbs down
c)
Thumbs sideways
46.
How are you going to study for the Chapter 6 Test?!
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