Exam (elaborations)
_2- Linear Equations and Relations 1
- Institution
- System Of Equations And Inequalities
_2- Linear Equations and Relations 1
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Linear Equations and Relations1 AmrBoard SAT Helper 3 AmrBoard SAT Helper
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Salma ordered a set of golf clubs and a golf bag online,
which were shipped to her house. The weight w, in
pounds, of the bag and the clubs is estimated by the
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equation w = 1.5c + 12, where c is the number of clubs
in the bag. What is the best interpretation of the number
1.5 in the equation?
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A) The estimated weight, in pounds, of 1 club
Which of the following is an equation of the line shown B) The estimated weight, in pounds, of 12 club
in the xy-plane above?
C) The estimated weight, in pounds, of the bag with no
A) y=2 clubs
B) x=2
D) The estimated weight, in pounds, of the bag with 12
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C) y = 2x
D) x = 2y clubs
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AT
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In the xy-plane, what is the slope of the line that passes
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through the points ( 0,0 ) and ( 4,3 ) ?
3
A system of two linear equations is graphed on the xy- A)
4
plane above. Which of following ordered pairs 4
B)
( x, y ) is the solution to the system ? 3
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C) 3
A) ( 1,1 ) D) 4
B) ( 1, -2 )
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C) ( 2, -1 )
D) ( 2, 1 )
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AmrBoard SAT Helper - Linear Equations and Relations 1
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, 5 AmrBoard SAT Helper 7 AmrBoard SAT Helper
A scooter rental company charges $9 for the first In the xy-plane, line M passes through the point
hour of renting a scooter and $5 for each additional 3
er
( 2,4 ) and has slope 2. Which of the following is an
hour. Which of the following functions gives the
equation of line M?
cost 𝑠(𝑡), in dollars, of renting a scooter for t hours?
3
A) S(t) = 9 t A) 𝑦 = 𝑥 + 4
2
lp
3
B) S(t) = 9 t + 6 B) 𝑦 = 𝑥 + 1
2
C) S(t) = 5t + 9 3 7
C) 𝑦 = 𝑥 −
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D) S(t) = 5 t + 4 2 2
3
D) 𝑦 = 2𝑥 +
2
6 AmrBoard SAT Helper 8 AmrBoard SAT Helper
Hours ( x ) Total cost ( y ) Zhang has run 11 races this year. The distance of each
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1 9 race and the number of minutes it took him to
3 14 complete each race is shown in the scatterplot below.
7
9
24
29
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Selected values representing the total cost y, in dollars,
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to rent a bike for x hours are shown in the table above.
The relationship between x and y is linear. If the data
are graphed in the xy-plane, what is the slope of the line
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that represents this situation?
1
A)
2
rd
Which of the following is closest to the slope of a line of
B) 1 best fit for this scatterplot?
A) 2
C) 2 B) 4
C) 8
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1 D) 11
D) 2
2
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AmrBoard SAT Helper - Linear Equations and Relations 2
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, 9 AmrBoard SAT Helper 11 AmrBoard SAT Helper
In the xy-plane, what is the x-intercept of the line Which of the following is the equation of a line with x-
intercept (6, 0) and y-intercept (0, 15)?
4
er
that has a slope of and passes through the point
3 5
(A) y = x − 15
2
( 0, 8 ) ?
5
(B) y = − 2x − 15
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A) -8
5
(C) y = 2x +15
B) - 6
5
C) 3 (D) y = − 2x +15
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D) 8
12 AmrBoard SAT Helper
H
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The amount of water y, in gallons, in a reservoir x
ℎ = 70 + 5𝑚
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minutes after the reservoir begins to drain can be
modeled by the equation 𝑦 = 1,200 – 4𝑥.if the
A runner has a resting heart rate of 70 beats per
equation is graphed in the xy-plane which of the
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minute. For every minute he runs, his heart rate
increases by a constant number of beats per minute.
following is the best interpretation of the x-
The runner’ 3 heart rates, h, is modeled by the equation
above as a function of m minutes of running. Based on intercept?
this equation, what is the increase in heart rate for
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every five minutes of running?
A) The reservoir drains at the rate of 4 gallons per
minute.
B) There are 300 gallons of water in the reservoir
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before it begins to drain.
C) There are 1,200 gallons of water in the
reservoir before it begins to drain.
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D) The water will completely drain from the
reservoir 300 minutes after the reservoir
begins to drain
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AmrBoard SAT Helper - Linear Equations and Relations 3
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