Question

1. Solve 3x – 19 = 2

2. Solve 4x + 12x = 62 + 4(11)


3. Solve 8x – 7 = x + 10


4. Solve 4(5x – 9) = -2(3x + 7)

5. Solve d = m/v for m

A. m = vd
B. m = d/v
C. m = v/d
D. m = d + v
E. m = v - d2
F. m = 1/vd
6. Solve V = lwh for w

A. w = V – lh
B. w = l/h
C. w = vlh
D. w = v + l + h
E. w = 1/vh
F. W = V/(lh)
7. Solve A = 1/2bh for h

A. h = ½Ab
B. h = 2A/b
C. h = A - 2b
D. h = A2b2
E. h = A2/b
F. h = b/2A
8. Examine the following solution to a linear equation. Do you see a mistake? Identify the first line of the solution that is incorrect (if any).


Original Equation: 7x + 42 = 12x – 8

Solution:

A. no mistakes
B. step 4
C. step 2
D. step 1
E. step 5
F. step 3
9. Examine the following solution to a linear equation. Do you see a mistake? Identify the first line of the solution that is incorrect (if any).


Original Equation: -3(x – 9) = ½(4x + 12)

Solution:

A. step 3
B. step 5
C. step 2
D. step 1
E. step 4
F. no mistakes
10. Examine the following solution to a linear equation. Do you see a mistake? Identify the first line of the solution that is incorrect (if any).


Original Equation: 30x = 23(1 + 3) + 12x + 22

Solution:

A. no mistakes
B. step 5
C. step 3
D. step 6
E. step 1
F. step 4
11. Examine the following solution to a linear equation. Do you see a mistake? Identify the first line of the solution that is incorrect (if any).


Original Equation: 15x + 12 – 8x = -3 + 7x - 7

Solution:

A. no mistakes
B. step 5
C. step 1
D. step 4
E. step 2
F. step 3
12. Anne is seven years older than her brother, Brandon. Anne is 23. Which equation below could you solve to determine Brandon’s age? (Let A represent Anne’s age and let B represent Brandon’s age.)

A. A + B + 7 = 23
B. B = 7 + 23
C. A + B = 23
D. 23 = B + 7
E. A = 23 + 7
F. 23 = A + 7
13. Last Friday, the Cougars beat the Tigers in basketball by 17 points. The Tigers scored 62 points. Which equation below could you solve to find out how many points the Cougars scored? (Let C represent the Cougars' score and let T represent the Tigers' score.)

A. T + 17 = 62 + C
B. T + C = 62
C. C – 17 = 62
D. TC = 62
E. C = 62 - T
F. T - 17 = 62
14. Of the 62 points scored by the Tigers, Mary scored 28 points, which is twice as many points as Lashawna scored. Which of the following equations describes the number of points scored by Lashawna? (Let M represent the points Mary scored and let L represent the points Lashawna scored.)

A. 2L = 62 - M
B. M/2 = 62L
C. M - 2L = 28
D. 2L = 28
E. L = 62 - 2M
F. M - 2 = 28
15. Joey owns a small bakery and today Phoebe has ordered 100 cookies. If Joey boxes the cookies by the dozen, which of the following equations describes how many boxes of cookies Phoebe will have? Let b represent the number of boxes. (HINT: All of the cookie boxes are not necessarily full.)

A. 100 = b/12
B. 12b + 4 = 100
C. 12b = 100 – 4
D. 100/b = 12
E. (100-4)/12=b-1
F. 12 + b = 100
16. As Gary is preparing to move, he notices that several of his smaller packed boxes will fit inside a large one. If each of the smaller boxes is a cube with side length 9 inches, and the volume of the larger box is 19683 cubic inches, which equation could be used to determine n, the number of smaller boxes that will fit inside the larger one?

A. 19683/9 = n
B. 19683 = n * 81
C. 19683 = 729n
D. 19683 - 729 = n
E. 19683 * 9 = n
F. 19683 = 9n
17. Newton’s second law states that the amount of force acting on an object is equal to the product of the mass of the object and the acceleration of the object (F = ma). Which of the following equations is the correct way to solve this equation for m?

A. m = Fa
B. m = F - a
C. m = F + a
D. m = a/F
E. m = 1/(Fa)
F. m = F/a
18. The formula F = C(9/5) + 32 may be used to convert a temperature in degrees Celsius to degrees Fahrenheit. How could this equation be rearranged to convert a temperature in degrees Fahrenheit to degrees Celsius?

A. C = (5/9)(F - 32)
B. C = 32F - 9/5
C. C = (5/9)F + 32
D. C = (9/5) - 32F
E. C = 32F - (9/5)
F. 5C = F/9 -32
19. Malachi is an artist with unrecognized talent. As he plans to create the masterpiece that will cause him to be discovered, he realizes that he needs more paint. He will need to purchase several new colors, each of which costs $7.50. In addition, he will have to pay 6% sales tax. Which equation below could Malachi use to decide how many colors he can buy for $45.00?

A. (7.50)(6)c = 45.00
B. (7.50)c = 45.00(1.6)
C. (7.50 + 0.06)c = 45.00
D. (7.50)(1.06)c = 45.00
E. (7.50)c = (45.00)(0.06)
F. (7.50)c = (45.00)(1.06)
20. At a local candy store, Malcolm purchased some 25-cent candies and some 30-cent candies. He spent a total of $4.75. Which equation below describes the number of each type of candy he bought?

A. 25x + 30y = 4.75
B. x + y = (4.75)/(0.25 + 0.30)
C. 25 + x + 30 + y = 475
D. 0.25/x + 0.30/y = 4.75
E. x + y = 4.75 - 0.25 - 0.30
F. 0.25x + 0.30y = 4.75

Answer 1

Answer:

7

Step-by-step explanation:

3x-19=2

3x=2+19

3x=21

x=21/3

x=7