Lesson 8: Systems of Linear and Quadratic Equations

Question

Check my work
1. Solve the system of equations.
y = 2x^2 - 3
y = 3x - 1
a. no solution
b. (-1/2, 5), (2, -5/2)
c. (-1/2, -5/2), (2,5)***
d. (1/2, 5/2), (2, 5)
2.how many real number solutions does the equation have 0 = -3x^2 + x - 4
a. 0***
b. 1
c. 2
d. 3
3. solve the equation by completing the square. If necessary round to the nearest hundredth.
x^2 - 18x = 19
a. 1; 19
b. -1; 19***
c. 3; 6
d. -3; 1
4. solve. x^2 - 81 = 0
a. 0
b. -9
c. -9, 9***
d. 9
5. which model is most appropriate for the data shown in the graph below? (need wedsite to know the problem)
a. quadratic
b. linear
c. exponential***
d. line
for questions 6-9, match the equation to its corresponding graph.
(need wedsite to know the problem)
a, b, c, d
6. a y=-2x^2+2
7. d y=-x^2
8. c y=2x^2
9. b y=3x^2-4
Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs.

y=-2x^2+4 is just 4 units up from y=-2x^2

Answer 1

#1 - 4, correct
#5, can't tell , can't see any graph

Answer 2

is the last one correct

Answer 3

y=-2x^2+4 is just 4 units up from y=-2x^2 ?

yes

Answer 4

100% All Correct Just Did it and got a 100%

Answer 5

gamenight is right :) all right

Answer 6

Here are the correct answers;
1. C (-1/2, -5/2), (2,5)
2. A 0
3. B -1;19
4. C -9,9
5. C Exponential
MATCHING
6. A
7. D
8. C
9. B
10. ESSAY

Answer 7

Ro is right I got 9/9 with upgraded 3 possible points. Thank you

Answer 8

You're welcome!

Answer 9

Gameknight is right i got a 9/9 and 3 possible points.

Answer 10

thanks SOOOO much everyone here!! :3

Answer 11

Any answers on Unit 7 lesson 9 Equations and Inequalities unit tests? There is 18 questions on part 1! Please help me I need it today!!!!

Answer 12

Ro is 100%. thanks Ro your a life saver love you

Answer 13

Gameknight is correct. all the answers are 100% accurate. Thank you!

Answer 14

Thanks so much Ro and GameKnight! True lifesavers

Answer 15

Anyone got the essay question tho

Answer 16

Essay answer please i wanna know if im right

Answer 17

Ro is wrong 9 is not b it’s d y=3x^2-4

Answer 18

My teacher is pretty strict with grading so I don’t know if this is 100% right but I’m taking the quiz now, for question number 10 I put the parabolas have the same shapes opening downwards with vertex’s of (0, 0) for number one and (0, 4 )for number two, the second equation is shifting up by four units with a maximum vertex

Answer 19

at (0, 4) compared to the first equation.

This answer is correct. The two parabolas have the same shape and axis of symmetry, but the second parabola has been vertically translated upwards by 4 units, resulting in a vertex at (0, 4) instead of (0, 0). The second parabola also has a maximum point since it opens downwards, and this maximum point occurs at the vertex.