Benchmark Study Guide for Algebra 1 Spring 2013
1. The equation
C
is graphed below. Which
graph shows the result of changing the 3 in the
equation to
2. What is a solution of the inequality
A 10
B
?
C 2
D 5
A
3. Which of the following is an irrational number?
A –
B 0.4292929...
C 5
6
D –
B
4. Which function rule matches the input-output table?
Input, x
Output, y
1
7
2
11
A
5. –
A
B
C
D
3
15
4
19
5
23
B
C
D
6.
–1
–4
4
1
A
B
C
D
0.5
25
5
50
7. Determine whether the relation is a function.
Antonio’s age (years)
11
12
13
14
15
16
Antonio’s height (inches)
60
A Yes, the relation is a function.
8. Tell whether the pairing is a function.
61
62
67
69
69
B No, the relation is not a function.
12. What is the solution of the equation
?
A
B
C 5
D 8
13. Evaluate
when
and
.
A 1
B
a. function
b. not a function
C
9. It is known that a cyclist can travel 41.4 miles in 3
hours. At that rate, how far can the same cyclist
travel in 7 hours?
A 97.4 miles
B 97.8 miles
C 96.6 miles
D 95.2 miles
10. A school soccer team has a game at 4:00 P.M. The
team bus takes 30 minutes to travel from school to
the field where the game is being played. After
arriving at the field, the team needs to warm up for
45 minutes before the start of the game. Which is
the best first step to take in order to find the time
that the team should depart from the school?
A Add the travel time and the warm up time
together.
B Add the time needed to warm up to 4:00 P.M.
C Add the time it takes to travel to the game to
4:00 P.M.
D Subtract the warm up time from the travel time.
11. Let be the number of dollars you spent on gas
and let be the number of gallons you purchased.
Which expression represents the price you paid per
gallon?
A
B
C
D
D
14. A person’s weight on the moon varies directly
with his or her weight on Earth . An astronaut
weighs 210 pounds on Earth. On the moon, the
astronaut weighs 35 pounds. How much would an
astronaut weigh on the moon if she weighs 135
pounds on Earth?
A 6 pounds
B 22.5 pounds
C 13.5 pounds
D 3.5 pounds
E 810 pounds
15. Donny decides to manufacture and sell his band’s
CD. It requires an investment of $3349 for
computer hardware and it will cost $3.65 for
materials for each disk. If each CD sells for $13.50,
how many must he sell to break even?
A 196
B 195
C 339
D 340
16. Solve
A
B
for .
y
C
10
D
17.
–10
= 28
A
B
C
D
–4
4
–196
196
75
–3
3
–75
–10
10
x
–10
C
y
10
–10
21. –5x + 14 + 4x + 22 = –6
A 42
B 14
C –42
D –14
A
x
y
10
20. What is the domain of the relation {(0, 4), (4, 9), (5,
2), (10, 4)}
A 0, 2, 9, 10
B 0, 4, 9, 10
C 0, 4, 5, 10
D 0, 2, 4, 10
22.
10
B
= 15
A
B
C
D
x
–10
18. State the x- and y-intercepts of the line with the
equation
.
A x-intercept: 4; y-intercept: 2
B x-intercept: 2; y-intercept: 4
C x-intercept: –4; y-intercept: –2
D x-intercept: –2; y-intercept: –4
19.
10
–10
23. Which number is between
A
B
and
?
C
D
24. Find the slope of the line passing through the points
A(–1, 1) and B(4, –5).
A
5

6
B 4
3
C
D

6
5
3
4
25. What is the value of
A 5
B 50
C 0
D 25
26. What is the solution of
A
B 600
C 6
D
E 10
when
?
?
Bamboo Height
Time (Week)
Height
1
2.25
2
4.63
3
6.00
4
8.63
5
10.25
Find the scatter plot that shows the relationship
between time and the height of the plant.
A The height of the plant
increases over time.
27. Which statement is true for the function whose
graph is shown?
B The height of the plant
increases over time.
A
B
C
D
E
The range is
.
The domain is unrestricted.
The domain is
.
The range is
.
The domain is
.
28. The cost of renting a canoe is $5.25, plus $0.50 per
hour for the time that the canoe is out. Which
equation could be used to find C, the cost in dollars
for using the canoe for H hours?
A
B
C
D
29.
= 26
A
B
C
D
14
15
37
38
30. The table below shows the height of a plant over
time.
C The height of the plant
decreases over time.
31. What is the y-intercept of the line with the equation
?
A 12
B –12
C 27
D –27
32. Which set of number represents the range of the
function shown in the mapping diagram?
35. A basketball team scored 68 points in 4 quarters.
What is the unit rate?
A 34 points per quarter
B 17 points per quarter
C 17 points per 2 quarters
D 16 points per quarter
36. Determine the slope of the line graphed below.
A
B
C
D
4, 16, 21, 30
4, 16, 21
0, 1, 2, 3
1, 2, 3
33. What is the range of the function in the graph?
y
70
A -3
B 0
C undefined
D
60
50
40
30
20
10
0
1
2
3
4
5
6
7 x
A
B
C
D
38. What is the first step in solving the equation
?
34. Name the coordinates of the points A, B, C, and D.
A
B
C
D
37. Evaluate the expression
A 960
B 1088
C 1044
D 16,320
A (–3, 3), B (4, 2), C (1, –2), D (–5, –4)
A (3, –3), B (2, 4), C (–2, 1), D (–4, –5)
A (–3, 3), B (2, 4), C (1, –2), D (–4, –5)
A (3, –3), B (4, 2), C (–2, 1), D (–5, –4)
A
B
C
D
Add 1 to each side.
Add 5 to each side.
Subtract 5 from each side.
Divide each side by 12.
Benchmark Study Guide for Algebra 1 Spring 2013
Answer Section
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38.
B
B
A
B
A
C
A
b. not a function
C
A
A
B
C
B
D
B
C
B
D
C
A
A
C
C
B
C
C
C
A
A
B
A
D
C
B
C
A
C