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- 1. Multiple ChoiceWhich of the following is not a method to solve systems of equations?EliminationDifference of SquaresSubstitutionGraphing
- 2. Multiple Choice
What is the solution?1-2(1, 2)(1, -1) - 3. Multiple Choice
When given these two systems what form should you put them in?
-3x-y=3
3x-y=9
Point-Slope Form
Slope Form
Slope-Intercept Form
Leave as is
- 4. Multiple ChoiceIf a system of equations has no solution, what does the graph look like?intersecting linesparallel linesskew linesintersecting lines
- 5. Multiple ChoiceHow many solutions does this system of equations have?One SolutionNo solutionInfinitely Many SolutionsTwo Solutions
- 6. Multiple ChoiceParallel Lines never intersect because...they have the same slopes.they have the same y-intercepts.they have different slopes.they have different y-intercepts.
- 7. Multiple ChoiceSolve for x and y
y = 2x + 1
y = 4x - 1(1, 3)(-1, -3)(-1, 3)(3, 1) - 8. Multiple ChoiceWhat is the solution to this system?
(assume a 1:1 scale)(-2, -2)(2, -2)(-2, 2)(2, 2) - 9. Multiple ChoiceThe first step in solving using the substitution method is __________.graph the equationswrite one equation as y = mx + bget one variable by itselfadd the equations together
- 10. Multiple Choice
Solve the system using substitution.
x + y = 27
y = 8x
(3, 24)
(27, 8)
(4, -8)
(-3, 16)
- 11. Multiple Choice
Solve the system using substitution.
y = 2x − 11
2x − 8y + 4 = 0
(6, 1)
(6, −4)
(6, −1)
Infinite number of solutions
- 12. Multiple ChoiceSolve the system using elimination:
x - y = 11
2x + y = 19(10, -1)(-1, 10)(3, -4)(6, 7) - 13. Multiple ChoiceSolve the system using elimination.
−4x − 4y = 0
4x + 4y = 0(−6, −4)Infinite number of solutions(−6, 10)(6, 4) - 14. Fill in the Blank
Sarah took a department trip. Including her there are a total of 13 people. She purchased coach tickets for $290 and first class tickets for $950. She used her total airfare budget of $7730. How many first class and coach tickets did she buy? (Put answer as: # first class and # coach tickets)
- 15. Multiple ChoiceAre the points on the boundary line part of the solution set or not?Yes, they are part of the solution setNo, they are NOT part of the solution set
- 16. Multiple ChoiceWhich of the following is not a solution to this system of inequalities?(0,-1)(0,3)(4,0)(6,-2)
- 17. Multiple ChoiceWhich system of inequalities is graphed?y ≥ -x - 1
y < x + 4y < -x - 1
y ≥ x + 4y > -x - 1
y ≥ x + 4y > -x - 1
y ≥ x + 3 - 18. Multiple ChoiceIs (0, 0) a solution to the system?YesNo
- 19. Fill in the Blank
A bicycle store costs $1600 per month to operate. The store pays an average of $60 per bike. The average selling price of each bicycle is $80. How many bicycles must the store sell each month to break even?
- 20. Multiple Choice
Tell whether the system has one solution, infinitely many solutions, or no solution.
-x+2y=-1
4x-8y=4
The system has infinitely many solutions
The system has no solution
The system has one solution
- 21. Multiple Choice
Your school's talent show will feature 8 solo acts and 2 ensemble acts. The show will last 60 minutes. The 4 solo performers judged best will give a repeat performance at a second 40 minute show, which will also feature the 2 ensemble acts. Each solo act lasts x minutes, and each ensemble act lasts y minutes. Write a system of equations to model the situation.
8x+2y=40
4x+2y=60
2x+8y=60
2x+4y=40
2x+8y=40
2x+4y=60
8x+2y=60
4x+2y=40
- 22. Multiple Choice
If a plane can travel 490 miles per hour with the wind and 390 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.
Speed of the wind: 50 mph
Speed of the plane: 440 mph
Speed of the wind: 80 mph
Speed of the plane: 400 mph
Speed of the wind: 90 mph
Speed of the plane: 300 mph
- 23. Multiple Choice
Determine whether the ordered pair is a solution to the linear inequality. Is (0,6) a solution of y > x - 2
Yes
No
- 24. Multiple Choice
Which inequalities represent a solid line when graphing?
Greater than or equal to and Greater than
Less than or equal to and less than
Greater than or equal to and Less than or equal to
Less than or Greater than
- 25. Multiple Choice
Which inequalities represent a dashed line when graphing?
Greater than or Less than
Greater than or equal to and Less than or equal to
Greater than and Greater than or equal to
Less than or equal to and Less than
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