1. What is the equation of the line that
passes through the points (0, 2)
and (4,
7)?
Express your
answer in y = mx + b form.
а) y =
2;
b) y =
1/2
x +
5;
c) y =
4x + 2;
d) y =
5/4
x +
2.
2. Find the equation of the line with slope m = 2
that passes through the point (5/4, 3).
Express your
answer in y = mx + b form.
а) y =
1/2
x +
2;
b) y =
3x + 5/4;
c) y =
2x + 1/2;
d) y =
5/4
x +
3.
3. Suppose Bob has 4 candies. He then earns candies at a rate of 14 candies per week. Which of the following formulas is
the most reasonable rate to know how many candies Bob has on any given day?
а) C =
2d + 4;
b) C =
2/7
d
+ 4;
c) C =
1/7
d
+ 4;
d) C =
7d + 4.
4. After one hour of working, Billy has three
dollars. At the end of eight hours, Billy has fifty dollars. Choose the most
correct linear function representing this scenario if t
represents time, and d represents dollars.
а) d =
47/7 t – 26/7;
b) t = 47/7 d + 26/7;
c) t =
47/7 d – 26/7;
d) d =
47/7
t
+ 26/7.
5. Determine the equation of a line that
passes through the points (6, 6)
and (0,
5).
а) y =
1/6 x + 6;
b) y = 1/6 x + 5;
c) y =
1/6
x
+ 1/6;
d) y =
1/6
x
– 5.
6. What equation is perpendicular to
y = 5x + 2
and passes
through (6, 10)?
а) y =
–1/5
x
– 16;
b) y =
–1/5
x
+ 56/5;
c) y =
–5 x + 12;
d) y =
–1/5
x
+ 11.
7. What equation is perpendicular to
y = –1/5
x + 3
and passes
through (2, 4)?
а) y =
2/5 x – 4/3;
b) y = 5/2 x – 3/2;
c) y =
–5x – 1/2;
d) y = 5/2 x – 1.
8. What equation is perpendicular to
y = 3/7
x + 12
and passes
through (5, 4)?
а) y =
–7/3 x + 47/3;
b) y = –7/3 x – 16/3;
c) y =
–7/3 x – 47/4;
d) y = –7/3 x – 16.
9.
A young sumo wrestler decided to go on a special high-protein diet to gain
weight rapidly. He started at 90
kilograms and gained weight at a constant rate. After 8 months, he weighed 138 kilograms.
Let W(t)
denote the sumo wrestler’s weight W
(measured in kilograms) as a function of time t (measured in months).
Write the
function’s formula.
W(t) = ?
а) 90 + 8t;
b) 90 t + 8;
c) 90
+ 6t;
d) 90t + 6.
10. What is the
slope of the line through (–5, –10) and (–1, 5)?
а) –4/15; b)
15/4;
c) –15/4; d)
4/15.
11. What is
y + 4 = –6(x + 6)
written in
standard form?
а) y =
–6x –
40;
b) 6x + y =
2;
c) y =
–6x +
2;
d) 6x
+ y = – 40.
12. What is the y-intercept of
y = –3x – 2?
а) (–2, 0); b) (0, –2);
c) (–3,
0);
d) (0,
–3).
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