1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5),...

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1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8) D)(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.

Transcript of 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5),...

Page 1: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

1) Which set of coordinates describe a function

A) (2, -4), (-2,-7), (0,2), (-3,-8)B) (6,2), (3,5), (3,10), (-1, 7)C) (6,-4) (-3,-3), (-2, -2), (6, -8)D) (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.

Page 2: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

1) Which set of coordinates describe a function

A) (2, -4), (-2,-7), (0,2), (-3,-8) All of these x-value are different.B) (6,2), (3,5), (3,10), (-1, 7)C) (6,-4) (-3,-3), (-2, -2), (6, -8)D) (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.

Page 3: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

2) Which equation describes the data in the table?

A) y = -2x + 1B) y = -x - 2C) y = -3x - 1D) y = -2x + 3

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)

X Y

-5 3

-2 0

1 -3

4 -6

Page 4: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

3) Which equation describes the data in the table?

A) y = -2x + 1 (0 ≠ -2(-2) + 1 = 4 + 1)B) y = -x - 2 (0 = - (-2) - 2 = 2 - 2 ) C) y = -3x - 1 (0 ≠ - 3(-2) - 1 = 6 - 1 ) D) y = -2x + 3 (0 ≠ - 2(-2) + 3 = 4 + 3 )

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)

X Y

-5 3

-2 0

1 -3

4 -6

Page 5: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

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 = (C + 32)

B) F = x32 + C

C) F = + C + 32

D) F = C + 329

5

9

5

9

5

9

5

Page 6: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

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 = (C + 32)

B) F = x32 + C

C) F = + C + 32

D) F = C + 32

= + 32 x

9

5

9

5

9

5

9

5

Page 7: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

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) 60m – 95 ≥ 600B) 95 + 60m ≥ 600C) 60m - 75 < 600D) 95m + 60 ≥ 600

Page 8: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

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) 60m – 95 ≥ 600B) 95 + 60m ≥ 600C) 60m - 75 < 600D) 95m + 60 ≥ 600

# of month (m) $ 1 60 2 120 3 180 m 60*m

At least $600 - means he could be saving at a minimum $600 or $601, $602…..

Page 9: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

5) A student incorrectly solved the equation. 3(2x + 6) – 4 = 14 as shown below.

Step 1: 3(2x + 6) – 4 = 14Step 2: 6x + 6 – 4 = 14Step 3: 6x + 2 = 14Step 4: 6x = 12

Step 5: x = 2

Which step is the first mistake.

Page 10: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

5) A student incorrectly solved the equation. 3(2x + 6) – 4 = 14 as shown below.

Step 1: 3(2x + 6) – 4 = 14Step 2: 6x + 6 – 4 = 14Step 3: 6x + 2 = 14Step 4: 6x = 12

Step 5: x = 2

Which step is the first mistake.

3 * 6 = 18

Page 11: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

6) Solve and graph the following inequality.

2 (8 + x) – 18 ≤ 3x

Page 12: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

6) Solve and graph the following inequality. 2 (8 + x) - 18 ≤ 3x ( ) - Distributive Property of Multiplication (DPM)

2x8 + 2 x x - 18 ≤ 3x 16 + 2x - 18 ≤ 3x Combine Like Terms (CLT) -2 + 2x ≤ 3x Combine Like Terms (2x becomes -2x on the “other side”.) -2 ≤ 3x-2x -2 ≤ x x ≥ -2

-2

≥ “Greater or equal” (equal - means “closed”)

Page 13: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

7) What is 38% of 60?

Page 14: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

7) What is 38% of 60?

38 x100 60=

38 * 60 = 100x

2280 = 100x (divide both sides by 100) x = 22.8

Page 15: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

8) 22% of what is 33?

Page 16: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

8) 22% of what (x) is 33?

22 33100 x=

22x = 33 * 100

22x = 3300 (divide both sides by 22) x = 150

Page 17: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

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) 18B) 4C) 22D) 88

Page 18: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

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) 18B) 4C) 22D) 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

Page 19: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

10) Suppose that 37.5% of freshmen entering a college graduate from it. If

there are 2680 freshmen, will graduate from that college.

A) 1675B) 228C) 1005D) 1579

Page 20: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

10) Suppose that 37.5% of freshmen entering a college graduate from it. If

there are 2680 freshmen, will graduate from that college.

A) 1675B) 228C) 1005D) 1579

Page 21: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

11) Which equation represents Step 2 in the solution process?

Step 1: 5x - 7(3 + x) = 12

Step 2:

Step 3: -2x – 21 = 12

Step 4: x = -26

A) 5x - 21 + 7x = 12B) 5x - 21 - 7x = 12 C) 5x + 21 + 7x = 21 D) 5x + 21 - 7x = 12

Page 22: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

11) Which equation represents Step 2 in the solution process?

Step 1: 5x - 7(3 + x) = 12

Step 2:

Step 3: -2x – 21 = 12

Step 4: x = -26

A) 5x - 21 + 7x = 12B) 5x - 21 - 7x = 12 C) 5x + 21 + 7x = 21 D) 5x + 21 - 7x = 12

Page 23: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

12) Which equation fits the data in the table below?

A) f(x) = - x + 9

B) f(x) = 3x – 9

C) f(x) = x – 9

D) f(x) = -3x + 9

1

3

X f(x)

-4 21

-1 12

3 0

1

3

Page 24: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

12) Which equation fits the data in the table below?

A) f(x) = - x + 9

B) f(x) = 3x – 9

C) f(x) = x – 9

D) f(x) = -3x + 9

1

3

X f(x)

-4 21

-1 12

3 0

1

3Plug the x-value into each equation and check

to see if the output, f(x), column is same as

table.

Page 25: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

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

Page 26: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

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

Using the slope-intercept equation (y = mx + b),

The y intercept is the point (0, -6), thus, b has to be -6. If you

don’t see that, you have to plug the x-value into each equation.

Page 27: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

14) Solve the proportion:

Page 28: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

14) Solve the proportion:

r = (40*60) / 50 = 48

Page 29: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

16) Solve the equation 6x – 8 = 2x + 12

Page 30: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

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

Page 31: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

17) Mary can type 250 words in 4 minutes. How many words can Mary type

in 26 minutes?

Page 32: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

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)

26* 250 = 4*x

x = 1625

Page 33: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

18) Which is the range of the funcion: f(x) = -2x – 4 when the domain is

{3,4,5}?

Page 34: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

18) Which is the range of the funcion: f(x) = -2x – 4 when the domain is

{3,4,5}?

Range = {-10,-12,-14}

f(x) = -2(3) – 4 = -10

f(x) = -2(4) – 4 = -12

f(x) = -2(5) – 4 = -14

Page 35: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

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

Page 36: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

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

Page 37: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

20) Which expression is equivalent to

-2 (2x - 10) + 5(x - 3)?

A) x - 35

B) x + 35

C) x + 5

D) -x + 5

Page 38: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

20) Which expression is equivalent to

-2 (2x - 10) + 5(x - 3)?

A) x - 35

B) x + 35

C) x + 5

D) -x + 5

Distribute and Combine Like Terms

-2(2x – 10) + 5 (x-3)

Step1: -2*2x + 5*x

x Eliminate D

Step 2: -2* -10 + 5* -3

20 + -15

Page 39: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

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

Page 40: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

28) Write the inequality

Page 41: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

28) Write the inequality

x ≤ 1

Or

x < 1

Page 42: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

29) Solve and graph: -30 ≥ 18x + 6

Page 43: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

29) Solve and graph: -30 ≥ 18x + 6

18x + 6 ≤ -30

18x ≤ -30 - 6

18x ≤ -36

x ≤ -2

Page 44: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

30) D31) b =-18032) A number y squared more than a number x or a number x add a number y squared33) c = 334) x = 36/14 = 18/735) n = -1636) D37) 2000 ≥ 800 + 75*x41) 28.842) 750

Page 45: 1) Which set of coordinates describe a function A)(2, -4), (-2,-7), (0,2), (-3,-8) B)(6,2), (3,5), (3,10), (-1, 7) C)(6,-4) (-3,-3), (-2, -2), (6, -8)

43) J44) C45) F47) B48) C