Quiz about Algebra Semester Review

Question 1

What is the y-intercept of the line with the equation -14 + y = -7x? (HINT: SOLVE FOR Y FIRST!)

Accepted Answer

(0, 14)

Answer

(0, -7)

Answer

(0, 7)

Answer

(0, 2)

Question 2

Find the slope of the line.

Accepted Answer

0

Answer

Undefined

Answer

1

Answer

-1

Question 3

Solve for a.

Accepted Answer

a = w/p

Answer

a = pw

Answer

a = p/w

Answer

a = w + p

Question 4

Which is NOT a correct point-slope equation for the line in #14?

Accepted Answer

y = -2 + 1/2(x + 2)

Answer

y = 1/2(x + 2)

Answer

y = 1 + 1/2(x - 0)

Answer

y = 2 + 1/2(x - 2)

Question 5

Write the recursive formula of 13, 9, 5...

Accepted Answer

U_n=U_n-1 - 4

Answer

U_n=U_n-1+3

Answer

U_n=U_n-1-5

Answer

U_n=U_n-1+4

Question 6

S = 3F - 24 Solve for F

Accepted Answer

F = (S + 24)/3

Answer

F = S/3 + 24

Answer

F = 3S + 24

Answer

F = 3(S + 24)

Question 7

Solving the formula P = 2L + 2W for W is not equivalent to which equation?

Accepted Answer

P - (1/2)L = W

Answer

(P-2L)/2 = W

Answer

(P/2) - (2L/2) = W

Answer

(1/2)P - L = W

Question 8

Find the slope when given the following points.
(2, 5) (-3, 5)

Accepted Answer

0

Answer

-2

Answer

Undefined

Answer

4/3

Question 9

Find the slope of the line that passes through (0, -6) and (-2, 8)

Accepted Answer

m=-7

Answer

m=1/7

Answer

m=-1/7

Answer

m=7

Question 10

Solve for x

Accepted Answer

x = 41

Answer

x = 39 1/6

Answer

x = 8.95

Answer

x = 26

Question 11

Solve for x

Accepted Answer

x = -37

Answer

x = 37

Answer

x = -25

Answer

x = 25

Question 12

Solve for x

Accepted Answer

x = -19

Answer

x = -5

Answer

x = 19

Answer

x = 5

Question 13

2. Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

Accepted Answer

y = -1 - 3(x + 2)

Answer

y = -1 - 3(x - 2)

Answer

y = 2 + 3(x - 1)

Answer

y = 1 - 3(x + 2)

Question 14

For the equation
y = 3 + 2(x + 4),
the line has a slope of 2 and contains what point?

Accepted Answer

(-4, 3)

Answer

(3, -4)

Answer

(-3, -4)

Answer

(-4, -3)

Question 15

Write the following equation in slope intercept form:
y + 2 = -3(x - 5)

Accepted Answer

y = -3x + 13

Answer

y = -3x + 17

Answer

y = -3x - 13

Answer

y = -3x - 17

Question 16

Identify the slope and the point from the equation:
y = 10 - 5/2 (x + 5)

Accepted Answer

m= -5/2 pt: (-5, 10)

Answer

m=5, pt: (-10, 5)

Answer

m= 5/2, pt: (-5, 10)

Answer

m= -10, pt: (5, 10)

Question 17

Given the recursive formula, find the first four terms:

U_n = U_n-1 + 5

U₁ = -16

Accepted Answer

-16, -11, -6, -1

Answer

-16, -21, -26, -31

Answer

5, -11, -27, -43

Answer

-16, -80, -500, -200

Question 18

What type of slope does the graph have?

Accepted Answer

Undefined

Answer

Positive

Answer

Negative

Answer

Zero Slope

Question 19

Write the equation for the line in slope-intercept form.

Accepted Answer

y= 4x+3

Answer

y= -1x+3

Answer

y=1/4x+3

Answer

y= -4x+3

Question 20

Find the slope

Accepted Answer

7/5

Answer

-5/7

Answer

-7/5

Answer

5/7

Question 21

What is the y-intercept in the equation y= -2x + 5

Accepted Answer

5

Answer

-2

Answer

3

Answer

Cannot be Determined

Question 22

Which of the following equations is of a line with a slope of -1/2 and a y-intercept of (0, -8)?

Accepted Answer

y = -1/2x - 8

Answer

y = 1/2x + 8

Answer

y = -8x - 1/2

Answer

y -1/2x = -8

Question 23

Which is the graph of y=-x+2?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 24

Solve for x
rx= t

Accepted Answer

t/r = x

Answer

t= x

Answer

t - r = x

Question 25

Solve the literal equation for the given variable.

Accepted Answer

2A/h

Answer

2/(h)

Answer

2Ah

Answer

Ah/2

Question 26

Which equation matches the table?

Accepted Answer

y = 3x + 9

Answer

y = x + 9

Answer

y = x + 3

Answer

y = 12x - 3

Question 27

What is the equation of the linear function?

Accepted Answer

y = 3x + 16

Answer

y = -3x + 10

Answer

y = -3x + 16

Answer

y = 3x + 10

Question 28

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

Accepted Answer

10c + 5d = 16.50
5c + 10d = 14.25

Answer

10c + 5d = 14.25
5c + 10d = 16.50

Answer

c + d = 10
5c + 10d = 16.50

Answer

c + d = 5
5c + 10d = 16.50

Question 29

What is the solution to this system of linear equations?
Use substitution.

y = -2x - 6
-2x + y = 6

Accepted Answer

(-3, 0)

Answer

(0, -3)

Answer

(-3, -12)

Answer

(3, -12)

Question 30

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

Accepted Answer

18 chapters

Answer

12 chapters

Answer

15 chapters

Answer

21 chapters

Question 31

In the scatter plot, does the image shows a "Line of Best Fit"?

Accepted Answer

Yes

Answer

No

Question 32

In the scatter plot, does the image shows a "Line of Best Fit"?

Accepted Answer

No

Answer

Yes

Question 33

In the scatter plot, does the image shows a "Line of Best Fit"?

Accepted Answer

No

Answer

Yes

Question 34

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.

Accepted Answer

a_n= -4n + 29

Answer

a_n = 4n + 29

Answer

a_n = -4n + 25

Answer

a_n = 4n + 25

Question 35

Is the sequence geometric or arithmetic?
6, 18, 54...

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Question 36

What is the common ratio for the sequence:
3, 15, 75...

Accepted Answer

5

Answer

12

Answer

1/5

Question 37

What is the explicit rule for the sequence:
11, 22, 44, 88...

Accepted Answer

a_n = 11(2)^n-1

Answer

a_n = 2(11)^n-1

Answer

a<sub>n</sub> = 11x2

Question 38

Which formula is used to find the explicit equation for arithmetic sequences?

Accepted Answer

a_n = a₁ + d(n-1)

Answer

a_n = a_n-1 + d

Answer

a_n = a_n-1 * r

Answer

a_n = a₁ * r^n-1

Question 39

Which formula is used to find the recursive equation for arithmetic sequences?

Accepted Answer

a_n = a_n-1 + d

Answer

a_n = a_n-1 * r

Answer

a_n = a₁ + d(n-1)

Answer

a_n = a₁ * r^n-1

Question 40

Which formula is used to find the explicit equation for geometric sequences?

Accepted Answer

a_n = a₁ * r^n-1

Answer

a_n = a_n-1 + d

Answer

a_n = a_n-1 * r

Answer

a_n = a₁ + d(n-1)

Question 41

Which formula is used to find the recursive equation for geometric sequences?

Accepted Answer

a_n = a_n-1 * r

Answer

a_n = a_n-1 + d

Answer

a_n = a₁ + d(n-1)

Answer

a_n = a₁ * r^n-1

Question 42

Solve for x.
2|x + 1| - 5 = 5

Accepted Answer

x = -6 & x = 4

Answer

x = 4 & x = 6

Answer

x = -4 & x = 6

Answer

no solution

Question 43

In an exponential function, what does the 'a' represent?

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 44

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?

Accepted Answer

.95

Answer

-5

Answer

-.05

Answer

.05

Question 45

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 46

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 47

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000x<sup>x</sup>

Question 48

Question 48.

Accepted Answer

Not a Function

Answer

Function

Question 49

What is the domain?

Accepted Answer

{-2, -1, 0, 1, 8}

Answer

{3, 5, 7 , 9, 0}

Answer

{-2, -1, 0, 1, 3, 5, 7, 8, 9}

Answer

{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Algebra Semester Review

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