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T-1 Rev B Multiple Choice Review for T-1 Benchmark Exam
Algebra 1H
Do in spiral and show all support work!
1) Which is an example of the Distributive Property?
A) (5 – 2) + 3 = (-2 + 5) + 3
B) 5(2 – 3) = 5·2 – 5·3
C) (5 – 2) + 3 = 5 + (-2 + 3)
D) (5 – 2) – 3 = 0
2) Which equation is equal to 2y = 4 + 3(8 – 22)
A) 2y = 16
B) 2y = 24
C) 2y = 112
3) What is the solution of 4(3x – 2) – (4x – 3) = 11
D) 2y = 84
A) 1
B) 1
1
4
4
3
C)
D) 2
4) Which set of numbers is closed under the operation of division?
A) integers
B) rational numbers, except division by 0
C) irrational numbers
D) none of the above
5) Which property makes it easier to evaluate the expression (87 • 25) • 4 mentally?
A) Commutative Property
B) Associative Property
C) Distributive Property
D) Multiplicative Inverse
6) For which set of numbers is the inequality
A) real numbers
C) integers
x2
x
true?
B) rational numbers
D) all of the above
7) Which is a counterexample for the conjecture, “the difference between two negative integers is
always positive?”
A) -7 – 2 = -9
B) 7 – 4 = 3
C) -5 – (-2) = -3
D) -5 – (-7) = 2
8) What is the domain of the function given by
A)
0, 2, 7
B)
1, 2, 5, 7
1,2 , 3,2 , 6,7 ?
C) 2, 3, 6, 7
D)
4
?
5
1, 3, 5, 6
4
5
B)
5
4
3(y + 2) – 4(2y – 1) = 8
A)
9
5
9) What is the opposite of the reciprocal of
10) What is the solution for the equation
5,0 ,
A)
C)
5
4
2
5
B)
4
5
D)
2
5
C)
9
5
D)
11) Adult tickets for the school concert cost $5 and student tickets cost $3.50. The school sold
$2162.50 worth of tickets. If 120 more students than adults attended the concert, how many
students attended the concert?
A) 205
B) 315
C) 325
D) 455
12) What is the solution for the equation?
4
x
5
7
x
5
33
10
A)
363
50
B) 3
C)
3
2
D)
2
3
13) A movie discount pass, which has an annual fee of $50, allows a moviegoer to pay $6 per movie. If a
movie ticket normally costs $8.50, how many movie tickets must a moviegoer buy to make the
discount pass a bargain?
A) at least 25
B) more than 20
C) 20 or fewer
D) more than 19
14) What is the solution for the equation?
2.96 = 0.08(x – 4)
A) 4.1
B) 33
C) 41
D) 87
15) The Morena family drove to Yosemite National Park in 3 hours. On the way home, they averaged 15
miles per hour less and the trip took 4 hours. How far from Yosemite National Park do they live?
A) 60 miles
C) 180 miles
B) 45 miles
D) 210 miles
16) What is the value of m to the nearest tenth when 0.45m – 0.7m = 50.55
A) -202.2
B) -144.4
C) 44.0
D) -20.2
17) It would take each member of the 3-member dance committee 5 hours to inflate all the balloons
alone. How long would it take them to inflate the balloons together?
A) 1
1
hours
3
B) 1
1
hours
2
18) What is the solution for the equation?
2
hours
3
2n 1 3n 4
4
6
3
hours
4
25
27
25
A)
B)
C)
8
4
8
C) 1
n
5
3
D) 1
25
4
D)
19) Your brother starts out 10 minutes before you on a bike path and rides at a rate of 9 miles per hour.
If you ride at a rate of 12 miles per hour, how long will it take you to catch up to him?
A)
1
hour
4
B)
1
hour
2
20) Which relation is a function?
A) 0, 1 , 0, 2 , 2, 3 , 3, 2
C)
3, 1 , 1, 3 , 2, 1 , 2, 3
C)
2
hour
3
D)
B)
2, 4 , 3, 5 , 4, 6 , 5, 6
D)
5, 2 , 5, 3 , 2, 2 , 3, 3
3
hour
4
21) In the equation t = 2000p, where tons are a function of pounds, what does t represent?
A) the dependent variable
B) the independent variable
C) the intercept
D) the slope
22) What is the y-intercept for the equation?
6x – 2y = -4
A) -2
B)
2
3
C) 2
D)
1
2
23) Which statement is true about the relationship between the domain (D) and the range (R) of a
function?
A) For every element in D, there is only one corresponding element in R.
B) For every element in R, there is only one corresponding element in D.
C) There must be the same number of elements in D and R.
D) The elements of D are the dependent variables.
3
?
4
24) Which equation represents the line that passes through the point (-2, 3) with a slope of
A) 3x – 4y = 17
B) 4x + 3y = 1
C) 2x + 3y = 5
25) Which situation is most likely represented by the graph?
A) amount of tip money earned by a waiter every night
B) price of a stock on the stock market
C) wages paid to an hourly employee at a factory
D) daily commissions earned by a real estate agent
26) What is the x-intercept for the equation?
5x – 2y = 10
27) What is the slope of the line? 2x + 3y = 6
A) 2
28) Which point is on the line? 5x – 3y = -1
A) (1, 2)
B)
1 2
,
5 3
C) (4, 7)
D) 3x – 4y = -18
Money
Time
A) 2
B)
3
2
B) -2
C)
C) -5
2
3
D) 5
D) -2
D) all of the above
29) Which ordered pair represents the x-intercept of the line?
A) (0, 3)
B) (3, 0)
C) (0, -4)
4x – 3y = 12
D) (-4, 0)
30) What is the equation of the line that passes through the point (3, 2) and has a slope of
A) y
2
2
x
3
3
B) y
3
2
x
3
C) y
2
31) Which point is a solution to the inequality?
A) (3, 2)
B) (-1, 5)
2
3x + 2y < 6
C) (0, 3)
2
x
3
D) y
3
3
2
x
3
2
?
3
2
D) (-1, 2)
32) What is the equation of the line that passes through the point (1, 4) and is parallel to the graph of
2x – y = 9?
A) 2x – y = -2
B) 2x – y = 4
C) 2x + y = 6
D) x + 2y = 9
33) Which ordered pair represents where the graph of 5x – 2y = 10 intersects the y-axis?
A) (0, -5)
B) (-5, 0)
C) (0, 2)
D) (2, 0)
34) On a scatter plot, the x-axis represents the latitude from the equator to the North Pole and the yaxis represents the average temperature.
Which type of correlation is represented?
A) positive correlation
Temperature
B) negative correlation
C) no correlation
D) none of the above
Latitude
35) The graph of a linear function contains the
following data points. What is the slope of the line?
1
A)
25
C) 5
1
B)
5
D) 25
36) Which point is not on the line? 6x – 8y = -2
37) Which point is on the line?
y
3
x
4
5
Car wash
Number of cars
A) (1, 1) B)
A) (4, 7)
5
$25
10
$50
15
$75
20
$100
25
$125
1 1
,
3 2
B) (4, -2)
C) (2, 2) D) (0.5, 0.625)
C) (0, 5)
D) (-5, 0)
38) What is the equation of the line that passes through the point (3, -1) and is perpendicular to the
line 2x – 4y = 8?
A) 2x – y = 7
B) x + 2y = 1
C) 2x + y = 5
D) x – 2y = 5
Answer Key
1) B
2) A
3) D
4) B
5) B
6) C
7) C
8) D
9) C
10) C
11) C
12)
13)
14)
15)
16)
17)
C
B
C
B
A
C
18)
19)
20)
21)
22)
23)
C
B
B
A
C
A
24)
25)
26)
27)
28)
29)
D
C
A
C
D
B
30)
31)
32)
33)
34)
35)
C
D
A
A
B
C
36) C
37) B
38) C