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WorksheetsCh 3 Test Prerequisite Quiz- Topic 1
Total questions: 25
Worksheet time: 45mins
Name
Class
Date
1.
The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
2.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/4
b)
Yes; 4
c)
Yes; 2
d)
No
3.
In a direct variation, y=39 when x=3. Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
4.
y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?
a)
y=32x
b)
y=16x
c)
y=2x
d)
y=(1/2)x
5.
Give the y-interecept
3x + y = 5
3x + y = 5
a)
-3
b)
(0,5)
c)
-5
d)
(0, -3)
6.
Give the x-intercept
3x + 8y = 24
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
7.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
8.
Give the slope and y-intercept
6x - 3y = -9
6x - 3y = -9
a)
slope is 6
y-intercept is 9
y-intercept is 9
b)
m=2
b=3
b=3
c)
slope is 2
y-intercept is -3
y-intercept is -3
d)
m = 3
b = 2
b = 2
9.
What is the x-intercept?
a)
12
b)
-3
c)
8
d)
0
10.
True or false:
The x-intercept of a function ALWAYS occurs where y is equal to zero.
The x-intercept of a function ALWAYS occurs where y is equal to zero.
a)
True
b)
False
11.
True or false:
The y-intercept of a function ALWAYS occurs where y is equal to zero.
The y-intercept of a function ALWAYS occurs where y is equal to zero.
a)
True
b)
False
12.
At a fair, hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation 3x + 1.5y = 30 describes the number of hamburgers and hot dogs a family can buy with $30. Find and interpret the x-intercept
a)
If they buy NO hot dogs, they can buy 10 hamburgers.
b)
If they buy NO hamburgers, they can buy 20 hot dogs
c)
They will just have to go hungry.
d)
I'd rather have pizza.
13.
What is the meaning of the y-intercept of the graph?
a)
The number of payments for the debt is 2000.
b)
At the start the debt is 2000 before making any payments.
c)
The number of payments for the debt is between 12 to 14.
d)
Initially, the number of payments is 12 to 14.
14.
What does the slope represent in this situation?
a)
The sloth runs 1 feet in 3 minutes
b)
The sloth runs 3 feet in 1 minute
c)
The sloth runs fast
d)
The sloth runs 6 feet in 1 minute
15.
The graph shows the height (cm) of a candle as it burns, what does the y-intercept mean?
a)
Candle starts at 9 cm.
b)
Candle start at 4.5 cm
c)
Candle starts at 0 cm.
d)
The candle ends at 5 cm
16.
The graph shows the candle's height (cm) as it burns (minutes). What does the slope MEAN?
a)
The candle burns 1 cm every minute.
b)
The candle burns 2 cm every 2 minutes.
c)
The candle burns 2 cm every minute.
d)
The candle burns 1 cm every 2 minutes.
17.
What does the x-intercept mean in this graph?
a)
Water in tank started at 18 gallons
b)
Water in tank takes 18 minutes to empty
c)
Water in tank takes 9 minutes to empty
d)
Water in tank ended at 9 gallons
18.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
19.
Solve:
8 - 3k < 8(1 - 7k)
8 - 3k < 8(1 - 7k)
a)
k < 5
b)
k > 5
c)
k < -33
d)
k < 0
20.
Which is a solution of
5(v + 3) - 10v > -10
5(v + 3) - 10v > -10
a)
v < 5
b)
v > 5
c)
v > -5
d)
v < -5
21.
solve the following inequality
5-(4x -5) ≤ 30
5-(4x -5) ≤ 30
a)
x ≤ -5
b)
x < 10
c)
x ≥ -5
d)
x ≥ 10
22.
solve 5( 6 + 3r) + 7 ≥ 127
a)
r ≤ 6
b)
r ≥ 6
c)
r ≤ -6
d)
r ≥ -6
23.
Convert to slope intercept
a)
y = − 6 /5 x − 3
b)
y = − 6/ 5 x + 3
c)
y = 3/5x + 6
d)
y = 3/5x - 6
24.
Convert to slope intercept
a)
y = 1/ 3 x − 2
b)
y = -1/ 3 x − 2
c)
y=2x -6
d)
y=2x+6
25.
Convert to slope-int
a)
y= -1/4x-2/3
b)
y=-1/4x+3/4
c)
y=3/4x-1/4
d)
y=-3/4x+1/4
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