1. Is the equation true, false, or open? Explain.. . 9p + 8 = 10p + 7 (1 point). Open, there is a variable.. True, the expressions are the same for all values of the variables.. False, the expressions are never the same.. . 2. Is x = 1 a solution of the equation 2 – 8x = –6? (1 point). yes. no. . . 3. Is (3, 13) a solution of the equation y = 4x? (1 point). yes. no. . 4. Which ordered pair is a solution of the equation y = 3x? (1 point). (–2, –9). (–8, –18). (–8, –3). (–10, –30). . 5. Which ordered pair is a solution of the equation y = –9x + 4? (1 point). (10, –86). (–4, –58). (6, –41). (–6, 57)

The correct answers are:

#1) Open; there is a variable;
#2) Yes;
#3) No;
#4) (-10, -30); and
#5) (10, -86).

Explanation:

#1) An open sentence is one that contains a variable. This has a variable, p, on each side, so it is an open sentence.

#2) Solving the equation
2 - 8x = -6

Subtract 2 from each side:
2 - 8x - 2 = -6 - 2
-8x = -8

Divide both sides by -8:
-8x/-8 = -8/-8
x = 1
The answer is yes.

#3) For the equation y = 4x, to see if (3, 13) is a solution, substitute 3 for x:
y = 4(3)
y = 12

Since it is not 13, (3, 13) is not a solution.

#4) For the equation y = 3x, if we substitute -10 for x, we have:
y = 3(-10) = -30

The solution would be (-10, -30).

#5) For the equation y = -9x + 4, substitute 10 for x:
y = -9(10) + 4
y = -90 + 4
y = -86

The solution would be (10, -86).

bobbycallaghan56 bobbycallaghan56 · Answer 2 · 2025-03-26T04:48:19-04:00

Answer: Solving Equations Unit Test

1. Is the equation true, false, or open? Open; there is a variable

2. Which value is a solution of the equation 2-8x=-6? 1

3. Which ordered pair is a solution of the equation y=x-3? (5,2)

4. Which ordered pair is a solution of the equation y=5x? (-2,-10)

5. Which ordered pair is a solution of the equation y=-9x+4? (10,-86)

6. Mike and his best friend Dan have the same birthday, but Mike is three years older than Dan. Let the variable x represent Mike's age and y represent Dan's age. Which graph represents the relationship between Dan's age and Mike's age? The answer is where the line starts at the 3.

7. Solve the following equation. -3=z+4? z=-7

8. Solve the following equation w-2=-3? w=-1

9. Solve the following equation 10.5=5z z=2.1

10. Solve the following equation -8=z/3 z=-24

11. Solve the following equation -9=5/17n -153/5

12. Which equation is an identify? 5w+8-w=6w-2(w-4)

13. Which equation has no solution? 7y+9=7y-6

14. Solve the following equation. 5(z-4)-z=4z-20 Infinitely many solutions

15. Solve the following equation. 3+6z=13+6z No solution

16. Ella and Margaret were at a carnival. They each got a ticket for the Ferris wheel. Ella got a snow cone, and Margaret got a cotton candy. Ella had a certificate for $6 off the cost. Margaret paid the rest, which came to $12.75. Each Ferris wheel ticket was $5, and a snow cone was $3.50. What was the cost for cotton candy? 5.25

17. Solve the following equation. 4(x-3)+5=1 x=2

18. Solve the following equation. 70=-7(-2-2z) z=4

19. Solve the following equation. -4y+8=4(2y-2)-2(-16+8y) y=4

Step-by-step explanation: