Name: ________________________ Class: ___________________ Date: __________
ID: A
Linear Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Write in standard form an equation of the line passing through the given point with the given slope.
____
____
1. slope = –8; (–2, –2)
a. 8x + y = –18
–8x + y = –18
8
; (5, –3)
7
8
61
− x+y=−
7
7
8
61
− x–y=−
7
7
c.
8x – y = –18
d.
8x + y = 18
2. slope =
a.
b.
____
b.
c.
d.
8
61
− x+y=
7
7
8
61
x+y=−
7
7
3. Find the point-slope form of the equation of the line passing through the points (–6, –4) and (2, –5).
1
1
a. y + 4 = (x – 2)
c. y + 5 = − (x + 6)
8
8
1
1
d. y + 4 = (x + 6)
b. y + 4 = − (x + 6)
8
8
Find an equation for the line:
____
____
5
4. through (2, 6) and perpendicular to y = − x + 1.
4
7
4
38
5
b. y = − x +
c.
a. y = x +
2
5
5
4
____
22
4
x+
5
5
d.
5
17
y=− x+
4
2
c.
y=
22
1
x+
3
3
d.
1
14
y=− x+
3
3
c.
y = –7
d.
x = –7
5. through (–4, 6) and parallel to y = −3x + 4.
a.
____
y=
y = −3x − 6
b.
y = 3x + 18
6. through (–7, –4) and vertical.
a. x = –4
b. y = –4
7. A cannery processed 605 pounds of strawberries in 3.5 hours. The cannery processed 2100 pounds in 10 hours.
a. Write a linear equation to model the weight of strawberries S processed in T hours.
b. How many pounds of strawberries can be processed in 12 hours?
a.
b.
S = 230T – 200; 2560 lb
S = 173T – 200; 1874 lb
c.
d.
2
T = 230S – 200; 2560 lb
S = 230T + 200; 2960 lb
Name: ________________________
____
ID: A
1
8. A candle is 10 in. tall after burning for 2 hours. After 3 hours, it is 8 in. tall.
2
a. Write a linear equation to model the height h of the candle after burning t hours.
b. Predict how tall the candle will be after burning 6 hours.
a.
b.
h (t) = 1.5t + 13; 4 inches
h (t) = −1.5t + 13; 4 inches
c.
d.
h (t) = −1.5t + 7; 2 inches
h (t) = 1.5t + 13; 22 inches
Essay
9. A manufacturing company’s profits are modeled by the equation y = −45, 000 + 1.2x, where y dollars is the
total profit and x is the number of items manufactured. Graph the equation and explain what the x- and
y-intercepts represent.
10. Write the equation of the line that contains the point (8, –3) and is perpendicular to 4x − 3y = 10. Graph the
equation. Write the equation in standard form. Show your work.
2