algebra questions

1. Solve this equation: 1/2 (4x+1)= 7-1/4(6x – 2)

a. 8

b. 4

c. 6

d. 2

3. Write an equation in standard form given slope = 3; P(−1, 4).

1. y=3x+7
2. 3x–y=–7
3. 3x+y=7
4. −3x–y=7

6. Write a direct variation equation going through (4, 5).

a. y=4/5x

b. y=5/4x

c. y=5x

d. y=4x

7. Write a direct variation equation going through (−6, 6).

1. y=x
2. y=−x
3. y=6x
4. y=−6x

8. Suppose you select a number at random from the sample space

{5, 6, 7, 8, 9, 10, 11, 12, 13}. Find the theoretical probability P(a number that is a composite number).

a. 1/3

2. 5/9

3. 2/9

4. 4/9

9. Suppose you select a number at random from the sample space

{1, 2, 3, 4, 5, 6, 7, 8, 9}. Find the theoretical probability P(a number that is a multiple of 3).

a. 1/9

b. 2/9

c. 1/3

d 5/9

13. Is f(x) = |x – 3| a vertical, horizontal or combined translation of f(x) = |x| ?

1. horizontal
2. vertical
3. combined

14. For this function, f(x) = 2x – 3, find f(−5).

1. 7
2. 13
3. −13
4. 4

18. Solve this equation 3|2d + 1| = 51.

1. d=8
2. d=8,−9
3. d=−8,9
4. d=9

19. Write an equation in standard form given slope = 3/4; P(2, 8).

a. 3x+4y=−26

b. 4y=3x+26

c. y=3/4x+13

d. 3x–4y=−26

20. Suppose you select a number at random from the sample space

{5, 6, 7, 8, 9, 10, 11, 12, 13}. Find the theoretical probability P(a number that is an even number).

a. 4/9

b 5/9

c 2/3

d 8/9

24. Solve this compound inequality 4r > −12 and 2r < 10.

a. r>5 and r<−3

b. r>5 and r>−3

c. −5<r<3

d. −3<r<5

25. Which number is irrational?

a. −19

b. square root of 625

c. square root of 90

d. 8.4

26. Solve this inequality |3y – 5| + 6 > 15.

a. y> 14/3

b. y<−7 or y>11

c. y<−4 or y>14

d. y<−4/3 or y>14/3

27. Is {(2, 3)), (−2, 4), (1, 4), (3, 1), (2, −2)} a function?

1. yes
2. no

31. What would the line and the shading look like for this graph: y ≤ 2x – 7?

a. dotted line, shading above the boundary line

b. dotted line, shading below the boundary line

c. solid line, shading above the boundary line

d. solid line, shading below the boundary line

33. Is {(4, 1), (2, 3), (2, 5), (−8, 1), (7, 6)} a function?

a. yes

b. no

34. Name the property of real numbers illustrated by the equation: 29(pi symbol)=pi symbol x 29

a. Distributive property
b. Commutative property of addition
c. Associative property of multiplication

d. Commutative property of multiplication

39. What is the vertex of y=−|x|+6?

a. (0, −6)

b. (0, 6)

c. (6, 0)

d. (−6, −6)

41. Which translation takes y=|x+2|–1 to y=|x|+2.

1. 2 units right, 3 units down
2. 2 units left, 3 units up
3. 2 units right, 3 units up
4. 2 units left, 3 units down

42. Suppose you select a number at random from the sample space

{5, 6, 7, 8, 9, 10, 11, 12, 13}. Find the theoretical probability P(a number that is greater than or equal 5).

a. 8/9

b. 1/3

c. 2/3

d. 1

44. Which relation is not a function?

1. {(0, 9), (2, 3), (0, 2), (4, 1)}
2. {(3, 2), (4, 1), (0, 9), (−3, 3)}
3. {0, 3), (2, 3), (3, 3), (4, 3)}
4. {(0, 3), (3, 2), (2, 4), (4, 6)}

49. Write the equation after the given transformation of the equation f(x) = |x|. Translation of 2 units right, 5 units up and reflection in the x-axis.

1. f(x)=−|x+2|–5
2. f(x)=−|x–2|–5
3. f(x)=−|x–2|+5
4. f(x)=−|x+2|+5

50. Solve this compound inequality 3x < −6 or 7x > 56.

1. –2<x>8
2. x<–2 or x>8
3. x<8 or x>–2
4. x<–3 or x>49