Download y = x + 4

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Algebra I
1st Semester Exam
1.
What is the slope of the following line? y = x + 4
A.
B.
C.
D.
2.
Simplify 6(b – 7).
A.
B.
C.
D.
3.
2k + 5
2k – 5
–2k – 5
–2k + 5
Write a function rule for the table.
A.
B.
C.
D.
5.
6b – 42
6b – 7
42b
–42b
Simplify –(2k – 5).
A.
B.
C.
D.
4.
4
0
1
-1
f(x) = 8x + 8
f(x) = 7x + 9
f(x) = x + 15
f(x) = x + 39
Write an algebraic expression for the phrase.
y decreased by 14
A.
B.
C.
D.
14 – y
y – 14
y ÷ 14
y – 14y
6.
In which quadrant or on which axis would you find the point (2, 7)?
A.
B.
C.
D.
7.
Quadrant I
Quadrant II
x–axis
y–axis
What property is shown with: 7 + (4 + 4) = (7 + 4) + 4
d.
8.
b.
Associative Property of Addition
c.
Commutative Property of Multiplication
Commutative Property of Addition
x
y
0
undefined
What is the y-intercept of the graph of 4x + 2y = 12?
A.
B.
C.
D.
10.
Inverse Property of Addition
In an ordered pair which comes first x or y?
A.
B.
C.
D.
9.
a.
-4
-2
6
12
Find the next two terms in the sequence 3, 5, 7, 9,….
A.
B.
C.
D.
11, 13
12, 14
10, 12
15, 17
11. Find the equation of the line that has a slope of -2 and a y-intercept of -9.
A.
B.
C.
D.
y = -2x - 9
y = -9x - 2
y = 1/2x - 9
y = 9x - 1/2
1
12. Identify the slope and y-intercept of y =  x
.
2
a.
b.
1
 ;7
2
1
2
c.
;7
1
 ; –7
2
d.
y=x
d.
1
2
; –7
13. Write an equation for the line.
y
4
2
–4
–2
O
2
4
x
–2
–4
a.
y=x
b.
y = x
c.
14. Write an equation for a line with a slope of 0 and a y-intercept of 1.
a.
b.
c.
15. Write an equation for a line with a slope of 1 and a y-intercept of 0.
A.
B.
C.
D.
y=1
y=x
x=1
y=0
16. What is the slope of the line containing the points (2,5) and (-4, -3)?
A.
B.
C.
D.
4/3
3/4
-4/3
-3/4
d.
y = x
17. There is a sailboat that passed through the coordinates (2, 2) and (5, 3).
What is the slope of the path?
A.
B.
C.
D.
3/1
1/3
5/7
7/5
18. Write the equation 4x + 3y = 12 in slope-intercept form.
A.
B.
C.
D.
y = 3/4x + 4
y = 4/3x - 4
y = 4/3x + 4
y = -4/3x + 4
19. Which of the following expressions is equivalent to 3x + 6(2 + x)?
A.
B.
C.
D.
4x + 8
9x + 12
4x + 12
9x + 6
20. Which of the following expressions is equivalent to 2x + 3c + 2(3c + 3x)?
A.
B.
C.
D.
8x + 9c
8x + 10c
7x + 8c
7x + 7c + 2
21. Which one of the following expressions is equivalent to the expression below?
2(4x – 4) + 4(2x – 2)
A.
B.
C.
D.
16x - 16
x
16x
16x + 16
22. Which one of the following expressions is equivalent to the expression below?
3(4x – 3) + 10(x – 2)
A.
B.
C.
D.
22x - 20
22x - 3
12x - 32
22x - 29
23. What is the solution of 6x + 2 = 2(2x + 2)?
A.
B.
C.
D.
x = -1
x=2
x = -2
x=1
24. In the equation 2x + 3y = 6, what is the slope and y-intercept?
A.
B.
C.
D.
m = -2/3 ; b = 2
m = -3/2 ; b = 2
m = 2/3 ; b = 2
m = 2/3 ; b = 3
25. What is the slope-intercept form of a line whose slope is -2 and has a y-intercept of 3?
A.
B.
C.
D.
y = 5x – 2
y = 2 – 5x
y = -2x + 3
y = -2/5x
26. Which equation describes the data in the table?
x
-3
0
3
6
A.
B.
C.
D.
y
3
1
-1
-3
y = 3/2x +1
y = 3/2x – 1
y = 2/3x + 3
y = -2/3x + 1
27. The table below shows a set of values for x and y. Which equation best represents this set of data?
x
y
A.
B.
C.
D.
y = 2x – 5
y = 2x – 3
y = -3x+2
y = -2x + 3
-2
8
-1
5
1
-1
3
-7
4
-10
28. The owner of a convenience store recorded the number customers in the store from 1:00 PM to 5:00 pm who
were served Slurpees and the number of pints of Slurpee syrup that were used.
Number of Boxes of
Syrup,
p
3
4
5
6
7
Number of Customers,
c
18
24
30
36
42
Which equation best describes the relationship between the number of customers who bought Slurpees and the
number of boxes of syrup for those Slurpees?
A.
B.
C.
D.
c=p+6
c=p
c = 6p + 6
c = 6p
29. Given two coordinate points, (2, 1) and (5, 3), calculate the slope.
A.
B.
C.
D.
3
2
1
4
2
3
–2
30. Which expression is equivalent to 21x + 35 y – 14 = 0?
A
y=
5
 x+2
3
B
y=
3 2
x–
5 5
C
y=
3 2
 x+
5 5
D
3x + 5y = 2
31. Which line has a slope of -2 and a y-intercept of 7?
A
2x + y = 7
B
y = 2x + 7
C
x – 2y = -7
D
2x – y = 7
32. Which line best represents the graph of y =
2
x+2?
5
33. Which line best represents the graph of x + 2y = -4 ?
5.
34. Which line has an x-intercept of -4?
A
12x - 7y = -48
B
12x + 7y = 28
C
7x - 12y = -48
D
7x + 12y = 0
35. What is the slope of the line represented by y =
A.
3
2
B.
2
3
C.
D.
-
2
x + 4?
3
2
3
-2
36. Which describes the slope of the line from the equation y =8?
A.
B.
C.
D.
36.
Positive
Negative
Zero
Undefined
37. Which of the following equations is written in slope and y-intercept form?
A.
2x + 3y = 1
B.
– y = 2x + 3
C.
y=½x+3
D.
2x + 3y – 1 = 0
38. What is the slope for the equation 2x + 3y = 6?
A.
B.
C.
D.
2
3
3
2
–2
3
–3
2
39. What is the y-intercept for the equation x – 4y = 8?
A.
¼
B.
–¼
C.
8
D.
–2
40. A Horizontal line (------) has a slope which is equal to:
A. 1
B. 0
C. –1
D. undefined
C. 6
D. – 6
41. The solution of: 2x + 7 = x – 1 is:
A. –8
B. 8
42. Which properties best describe the coordinate graph of two distinct parallel lines?
A.
B.
C.
D.
different slopes and same intercepts
same slopes and different intercepts
different slopes and different intercepts
same slopes and same intercepts
43. Graph y =
3
2
x
using the slope and y-intercept.
y
a.
–4
–2
y
c.
6
6
4
4
2
2
O
2
4
x
–4
–2
O
–2
–2
–4
–4
–6
–6
y
b.
2
4
x
2
4
x
y
d.
6
6
4
4
2
2
–4
–2
O
2
4
x
–4
–2
O
–2
–2
–4
–4
–6
–6
44. The scatter plot shown relates age to the average amount of soda pop consumed per week. From this
scatter plot, what relation appears evident?
A. There is no relation between age and amount of soda pop consumed per week.
B. As age increases, the amount of soda pop consumed per week decreases.
C. As age increases, the amount of soda pop consumed per week increases.
D. As age increases, the amount of soda pop consumed per week remains the same
45. Which linear equation represents the data in the table below?
A. d = 1.50c + 20.00
B. d = 21.50c
C. d = 1.50c
D. d = 20.00c + 1.5