Transcript Document

1) Which set of coordinates describe a function
A)
B)
C)
D)
(2, -4), (-2,-7), (0,2), (-3,-8)
(6,2), (3,5), (3,10), (-1, 7)
(6,-4) (-3,-3), (-2, -2), (6, -8)
(8,4), (8,-4), (2,8), (3,2)
HINT: Look at the x-values, they cannot repeat if the set of coordinates make a
function.
1) Which set of coordinates describe a function
A)
B)
C)
D)
(2, -4), (-2,-7), (0,2), (-3,-8)
(6,2), (3,5), (3,10), (-1, 7)
(6,-4) (-3,-3), (-2, -2), (6, -8)
(8,4), (8,-4), (2,8), (3,2)
All of these x-value are different.
HINT: Look at the x-values, they cannot repeat if the set of coordinates make a
function.
2) Which equation describes the data in the table?
A)
B)
C)
D)
y = -2x + 1
y = -x - 2
y = -3x - 1
y = -2x + 3
X
Y
-5
3
-2
0
1
-3
4
-6
HINT: In Multiple Choice test, without having to consider Y-intercept or slope,
easiest option is to consider trial and error. Plug x-value and you should get the
corresponding y value. Recommend using y-intercept (0,y) or x-intercept (x,0)
3) Which equation describes the data in the table?
A)
B)
C)
D)
y = -2x + 1
y = -x - 2
y = -3x - 1
y = -2x + 3
(0 ≠ -2(-2) + 1 = 4 + 1)
(0 = - (-2) - 2 = 2 - 2 )
(0 ≠ - 3(-2) - 1 = 6 - 1 )
(0 ≠ - 2(-2) + 3 = 4 + 3 )
X
Y
-5
3
-2
0
1
-3
4
-6
HINT: In Multiple Choice test, without having to consider Y-intercept or slope,
easiest option is to consider trial and error. Plug x-value and you should get the
corresponding y value. Recommend using y-intercept (0,y) or x-intercept (x,0)
3) The temperature in degrees Fahrenheit, is 32 more than 9/5 of the
temperature in degrees Celsius, C. Which equation best represents this
relationship
A) F =
B) F =
C) F =
D) F =
9
5
9
5
9
(C + 32)
32 + C
x
5+
9
5
C + 32
C + 32
=
+ 32
x
3) The temperature in degrees Fahrenheit, is 32 more than 9/5 of the
temperature in degrees Celsius, C. Which equation best represents this
relationship
A) F =
B) F =
C) F =
D) F =
9
5
9
5
9
(C + 32)
32 + C
x
5+
9
5
C + 32
C + 32
4) Ms Long has started saving for a new television. She saved $95 last month.
She plans to add $60 each month until she has saved at least $600. Which
inequality can be used to find m, the minimum number of months it will take
Ms. Long to save for her television?
A)
B)
C)
D)
60m – 95 ≥
95 + 60m ≥
60m - 75 <
95m + 60 ≥
600
600
600
600
4) Ms Long has started saving for a new television. She saved $95 last month.
She plans to add $60 each month until she has saved at least $600. Which
inequality can be used to find m, the minimum number of months it will take
Ms. Long to save for her television?
A)
B)
C)
D)
60m – 95 ≥
95 + 60m ≥
60m - 75 <
95m + 60 ≥
600
600
600
600
# of month (m)
1
2
3
m
$
60
120
180
60*m
At least $600 - means he could be saving at a
minimum $600 or $601, $602…..
5) A student incorrectly solved the equation.
3(2x + 6) – 4 = 14 as shown below.
Step 1: 3(2x + 6) – 4 = 14
Step 2:
6x + 6 – 4 = 14
Step 3:
6x + 2 = 14
Step 4:
6x = 12
Step 5:
x = 2
Which step is the first mistake.
5) A student incorrectly solved the equation.
3(2x + 6) – 4 = 14 as shown below.
Step 1: 3(2x + 6) – 4 = 14
Step 2:
6x + 6 – 4 = 14
Step 3:
6x + 2 = 14
Step 4:
6x = 12
Step 5:
x = 2
Which step is the first mistake.
3 * 6 = 18
6) Solve and graph the following inequality.
2 (8 + x) – 18 ≤ 3x
6) Solve and graph the following inequality.
2 (8 + x) - 18 ≤
2x8 + 2 x x - 18 ≤
16 + 2x - 18 ≤
-2 + 2x
≤
-2
≤
-2
≤
x
3x
3x
3x
3x
3x-2x
x
( ) - Distributive Property of Multiplication (DPM)
Combine Like Terms (CLT)
Combine Like Terms (2x becomes -2x on the “other side”.)
≥ -2
-2
≥ “Greater or equal” (equal - means “closed”)
7) What is 38% of 60?
7) What is 38% of 60?
38
=
100
x
60
38 * 60 = 100x
2280 = 100x
x = 22.8
(divide both sides by 100)
8) 22% of what is 33?
8) 22% of what (x) is 33?
22
=
100
33
x
22x = 33 * 100
22x = 3300 (divide both sides by 22)
x = 150
9) A function is described by f(x) = 5x + 8. The replacement set for the
independent variable is (2, 5, 10, 11). Which of the following belong to the
corresponding set of values of the dependent set?
A)
B)
C)
D)
18
4
22
88
9) A function is described by f(x) = 5x + 8. The replacement set for the
independent variable is (2, 5, 10, 11). Which of the following belong to the
corresponding set of values of the dependent set?
A)
B)
C)
D)
18
4
22
88
Plug the independent (x-value) into the function. Since, we are
only given one dependent (y-value), we only need to find the
“right” x-value. Plugging 2 into equation, we get 5(2) + 8 = 18
10) Suppose that 37.5% of freshmen entering a college graduate from it. If
there are 2680 freshmen, will graduate from that college.
A)
B)
C)
D)
1675
228
1005
1579
10) Suppose that 37.5% of freshmen entering a college graduate from it. If
there are 2680 freshmen, will graduate from that college.
A)
B)
C)
D)
1675
228
1005
1579
37.5
=
100
x
2680
11) Which equation represents Step 2 in the solution process?
Step 1: 5x - 7(3 + x) = 12
Step 2:
Step 3:
Step 4:
A)
B)
C)
D)
5x - 21 + 7x = 12
5x - 21 - 7x = 12
5x + 21 + 7x = 21
5x + 21 - 7x = 12
-2x – 21 = 12
x
= -26
11) Which equation represents Step 2 in the solution process?
Step 1: 5x - 7(3 + x) = 12
Step 2:
Step 3:
Step 4:
A)
B)
C)
D)
5x - 21 + 7x = 12
5x - 21 - 7x = 12
5x + 21 + 7x = 21
5x + 21 - 7x = 12
-2x – 21 = 12
x
= -26
12) Which equation fits the data in the table below?
A) f(x) = -
1
3
x +9
B) f(x) = 3x – 9
C) f(x) =
1
3
x–9
D) f(x) = -3x + 9
X
f(x)
-4
21
-1
12
3
0
12) Which equation fits the data in the table below?
A) f(x) = -
1
3
x +9
B) f(x) = 3x – 9
C) f(x) =
1
3
x–9
D) f(x) = -3x + 9
X
f(x)
-4
21
-1
12
3
0
Plug the x-value into each equation and check
to see if the output, f(x), column is same as
table.
13) Which function fits the data set below?
(-2, 18), (0, -6), (3, -42)
A) 6x - 12 = y
B) 12 + 6x = y
C) -6x + 12 = y
D) -12x – 6 = y
13) Which function fits the data set below?
(-2, 18), (0, -6), (3, -42)
A) 6x - 12 = y
B) 12 + 6x = y
C) -6x + 12 = y
Using the slope-intercept equation (y = mx + b),
The y intercept is the point (0, -6), thus, b has to be -6. If you
D) -12x – 6 = y
don’t see that, you have to plug the x-value into each equation.
14) Solve the proportion:
r
60
=
40
50
14) Solve the proportion:
r
60
=
40
50
r = (40*60) / 50 = 48
16) Solve the equation 6x – 8 = 2x + 12
16) Solve the equation 6x – 8 = 2x + 12
No “ ( ) “, so no need to Distribute.
Combine Like Terms (CLT)
6x - 2x = 12 + 8
4x
=
20
x
=
5
17) Mary can type 250 words in 4 minutes. How many words can Mary type
in 26 minutes?
17) Mary can type 250 words in 4 minutes. How many words can Mary type
in 26 minutes?
(COMPARE MINUTES TO WORDS or Words to Minutes)
4
=
250
26
x
26* 250 = 4*x
x = 1625
18) Which is the range of the funcion: f(x) = -2x – 4 when the domain is
{3,4,5}?
18) Which is the range of the funcion: f(x) = -2x – 4 when the domain is
{3,4,5}?
f(x) = -2(3) – 4 = -10
f(x) = -2(4) – 4 = -12
f(x) = -2(5) – 4 = -14
Range = {-10,-12,-14}
19) Which expression is equivalent to
2 (4y - 7 + 3a)?
A) 8y - 7 + 3a
B) 8y -7 + 6a
C) 8y - 21 + 9a
D) 8y - 14 + 6a
19) Which expression is equivalent to
2 (4y - 7 + 3a)?
A) 8y - 7 + 3a
B) 8y -7 + 6a
C) 8y - 21 + 9a
D) 8y - 14 + 6a
2*4 - 2*7 + 2*3a
20) Which expression is equivalent to
-2 (2x - 10) + 5(x - 3)?
A) x - 35
B) x + 35
C) x + 5
D) -x + 5
20) Which expression is equivalent to
-2 (2x - 10) + 5(x - 3)?
Distribute and Combine Like Terms
A) x - 35
B) x + 35
-2(2x – 10)
Step1:
x
+
-2*2x
5 (x-3)
+
5*x
Eliminate D
C) x + 5
Step 2:
D) -x + 5
-2* -10 +
20
+
5* -3
-15
24) Which expression describes the sum of:
3 (2x - 1) + 5(x + 4)?
A) 30x - 3
B) 11x + 17
C) 11x - 23
D) 30x + 17
28) Write the inequality
28) Write the inequality
x ≤ 1
Or
x < 1
29) Solve and graph: -30 ≥ 18x + 6
29) Solve and graph: -30 ≥ 18x + 6
18x + 6 ≤ -30
18x
≤ -30 - 6
18x ≤ -36
x ≤ -2
30) D
31) b =-180
32) A number y squared more than a number x
or a number x add a number y squared
33) c = 3
34) x = 36/14 = 18/7
35) n = -16
36) D
37) 2000 ≥ 800 + 75*x
41) 28.8
42) 750
43)
44)
45)
47)
48)
J
C
F
B
C