Quiz about Algebra 1 End of Year Review

Question 1

What are the domain and range of f(x) = -37?

Accepted Answer

Domain: All real numbers

Range: {-37}

Answer

Domain: All real numbers greater than or equal to -37

Range: All real numbers

Answer

Domain: {-37}

Range: All real numbers

Answer

Domain: All real numbers

Range: All real numbers greater than or equal to -37.

Question 2

At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook used 2 jars from 1 of the boxes. Which function shows the relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry?

Accepted Answer

y = 8x - 2

Answer

y = 8x + 6

Answer

y = 8x

Answer

y = 6x

Question 3

The graph of a linear function is shown on the grid shown. Which equation is best represented by this graph?

Accepted Answer

y + 7 = -3(x - 4)

Answer

y + 1 = -3(x + 2)

Answer

y - 4 = 3(x + 7)

Answer

y - 2 = 3(x - 1)

Question 4

What are the equation and slope of the line shown on the grid?

Accepted Answer

x = 6; slope is undefined

Answer

y = 6; slope is -1/6

Answer

x = 6; slope is zero

Answer

y = 6; slope is 6.

Question 5

What is the slope of the line that passes through the points (5, -11) and (-9, 17)?

Accepted Answer

-2

Answer

-1/2

Answer

7

Answer

2

Question 6

The graph shows the linear relationship between the maximum area in square feet that can be painted and the number of gallons of paint used. Which of these best represents the rate of change of the maximum area painted with respect to the number of gallons of paint used?

Accepted Answer

400 ft²/gal

Answer

200 ft²/gal

Answer

1/200 ft²/gal

Answer

1/400 ft²/gal

Question 7

The table shows the linear relationship between the balance of a student's savings account and the number of weeks he has been saving. Based on the table, what was the rate of change of the balance of the student's savings account in dollars and cents per week?

Accepted Answer

$7

Answer

$0.14

Answer

$25

Answer

$14

Question 8

The water level of a river was measured each day during a two-week period. The graph models the linear relationship between the water level of the river in feet and the number of days the water level was measured. Which statement best describes the y-intercept of the graph?

Accepted Answer

The initial water level was 16 ft.

Answer

The water level increased by 0.25 ft per day.

Answer

The maximum water level was 19.5 ft.

Answer

The water level was measured by 14 days.

Question 9

A paper airplane was thrown from the top of a tall building. The height of the paper airplane above the ground can be found using the function y = -1.5x + 60, where x is the time in seconds the airplane has been in the air. How many seconds did it take the paper airplane to reach the ground?

Accepted Answer

40 sec

Answer

60 sec

Answer

20 sec

Answer

45 sec

Question 10

Which line appears to have an x-intercept of -5 and a y-intercept of 3?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 11

The graphs of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?

Accepted Answer

g(x) = 1/3f(x)

Answer

g(x) = f(x) - 4

Answer

g(x) = f(x) - 2

Answer

g(x) = 3f(x)

Question 12

Which situation does NOT show causation?

Accepted Answer

When there is more protein in an athlete's diet, the athlete scores more points in a game.

Answer

When the student population at a school increases, the number of teachers at the school increases.

Answer

When the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving.

Answer

When there are more workers on a project, the project is completed in less time.

Question 13

What value of n makes the equation 4(0.5n - 3) = n- 0.25(12 - 8n) true?

Accepted Answer

-9

Answer

3

Answer

0

Answer

-15

Question 14

What is the solution to

34x + 95 = 3(14x + 9)?

Accepted Answer

8.5

Answer

7.5

Answer

8

Answer

7

Question 15

In a sequence of numbers, a₃= 0, a₄ = 6, a₅ = 12, a₆ = 18 and a₇ = 24. Based on this information, which equation can be used to find the n^th term in the sequence, a_n?

Accepted Answer

a_n = 6n - 18

Answer

a_n = -6n + 18

Answer

a_n = -18n + 6

Answer

a_n = 18n - 6

Question 16

The table of ordered pairs represent some points on the graphs of lines q and v. Which system of equations is represented by lines q and v?

Accepted Answer

3x - y = -27

x + 2y = 16

Answer

21x - y = 9

5x + 6y = 40

Answer

21x - y = 9

5x + 6y = 20

Answer

9x - y = -27

x + 2y = 8

Question 17

There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or 12 inches. The diameter of all 15 plates combined is 140 inches. Which system of equations can be used to find the number of 7-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet?

Accepted Answer

x + y = 15

7x + 12y = 140

Answer

x + y = 140

12x + 7y = 15

Answer

7x + 12y = 140

7x + 12y = 15

Answer

x + y = 15

12x + 7y = 140

Question 18

Which graph best represents a system of equations that has no solution?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 19

Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount. The first customer paid $12 for 14 postcards and 5 large envelopes. The second customer paid $24.80 for 10 postcards and 15 large envelopes. What was the cost in dollars of each large envelope?

Accepted Answer

$1.42

Answer

$0.35

Answer

$1.15

Answer

$0.63

Question 20

What is the x-value of the solution to this system of equations?

x = 2y - 4

7x + 5y = -66

Accepted Answer

-8

Answer

-2

Answer

-19/7

Answer

-62/19

Question 21

Which expression is equivalent to (h² + 9h - 1)(-4h + 3)?

Accepted Answer

-4h³ - 33h²+ 31h - 3

Answer

4h³ + 39h² - 23h - 3

Answer

-4h³ - 39h²+ 23h + 3

Answer

4h³ + 33h²- 31h + 3

Question 22

Which expression is equivalent to -28x² + 35x?

Accepted Answer

-7x(4x - 5)

Answer

7x(4x + 5)

Answer

7x(4x - 5)

Answer

-7x(4x + 5)

Question 23

Which expression is equivalent to x² - 17x - 60?

Accepted Answer

(x - 20)(x + 3)

Answer

(x - 5)(x - 12)

Answer

(x - 20)(x - 3)

Answer

(x + 5)(x - 12)

Question 24

Which expression is a factor of

21x² + 13x - 20?

Accepted Answer

7x - 5

Answer

3x - 4

Answer

7x + 4

Answer

3x + 5

Question 25

Which expression is a factor of 9r² - 4r + 1?

Accepted Answer

There are no real factors.

Answer

3r - 1

Answer

r - 1

Answer

9r - 1

Question 26

Which expression is equivalent to (144k²r¹⁴)^1/2

Accepted Answer

12kr7

Answer

72k²r¹⁴

Answer

144kr7

Answer

12k²r¹⁴

Question 27

Which expression is equivalent to the expression pictured for all values of q where the the expression is defined?

Accepted Answer

q3

Answer

q27

Answer

1/q27

Answer

1/q3

Question 28

Which expression is equivalent to the expression pictured for all values of q and w where the expression is defined?

Accepted Answer

20q¹⁷w⁹

Answer

32q7/ w

Answer

32q7w9

Answer

20qw

Question 29

Which function is equivalent to f(x) = -4(x + 7)² - 6?

Accepted Answer

f(x) = -4x² - 56x - 202

Answer

f(x) = -4x² + 14x + 43

Answer

f(x) = -4x² - 56x - 172

Answer

f(x) = -4x² + 190

Question 30

Th graph shows the height in feet of an object above the ground t seconds after it was launched from the ground. Which function is best represented by the graph of this situation?

Accepted Answer

h(t) = -16t² + 64t

Answer

h(t) = -16t² - 64t

Answer

h(t) = -16t² + 128t -256

Answer

h(t) = -16t² - 128t - 256

Question 31

Which graph best represents a quadratic function that has only one zero?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 32

A graph of a quadratic function is shown on the grid. Which coordinates best represent the vertex of the graph?

Accepted Answer

(1, -2)

Answer

(2.4, 0)

Answer

(0, -1)

Answer

(-0.4, 0)

Question 33

Which statement about g(x) = x² - 576 is true?

Accepted Answer

The zeros, -24 and 24, can be found when 0 = (x + 24)(x - 24)

Answer

The zeros, -288 and 288, can be found when 0 = (x + 288)(x - 288)

Answer

The only zero, 288, can be found when 0 = (x - 288)²

Answer

The only zero, 24, can be found when 0 = (x - 24)²

Question 34

The graph of quadratic function p is shown on the grid.

If k(x) = x² and p(x) = k(x) + n, what is the value of n?

Accepted Answer

-6

Answer

6

Answer

3

Answer

-3

Question 35

The graph of g(x) = x² was transformed to create the graph of h(x) = -(x/4)². Which of these describes the transformation from the graph of g to the graph of h?

Accepted Answer

A reflection over the x-axis and a horizontal stretch

Answer

A reflection over the y-axis and a horizontal stretch

Answer

A reflection over the x-axis and a vertical stretch

Answer

A reflection over the y-axis and a vertical stretch

Question 36

What are the solutions to (x + 7)²= 81?

Accepted Answer

-16 and 2

Answer

-74 and 88

Answer

-2 and 16

Answer

-88 and 74

Question 37

The area of a rectangular trampoline is 112 ft². The length of the trampoline is 6 ft greater than the width of the trampoline. This situation can be represented by the equation w² + 6w - 112 = 0. What is the width of the trampoline?

Accepted Answer

8 ft

Answer

7 ft

Answer

16 ft

Answer

14 ft

Question 38

Scientists are studying a bacteria sample. The function f(x) = 245(1.12)^x gives the number of bacteria in the sample at the end of x days. Which statement is the best interpretation of one of the values in this function?

Accepted Answer

The number of bacteria increases at a rate of 12% each day.

Answer

The initial number of bacteria is 12.

Answer

The initial number of bacteria decreases at a rate of 88% each day.

Answer

The number of bacteria at the end of one day is 245.

Question 39

There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?

Accepted Answer

f(x) = 1,024(0.50)^x

Answer

f(x) = 1,024(1.50)^x

Answer

f(x) = 1,024(1.05)^x

Answer

f(x) = 1,024(0.05)^x

Question 40

In the year 1900, the total number of metric tons of copper produced in the world was 495,000. Each year since 1900, the total number of metric tons of copper produced has increased on average by about 3.25% over the amount produced the previous year. Which function models the total number of metric tons of copper produced in the year that is x years since 1900?

Accepted Answer

c(x) = 495,000(1.0325)^x

Answer

c(x) = 495,000(0.9675)^x

Answer

c(x) = 495,000x^1.0325

Answer

c(x) = 495,000x^0.9675

Question 41

Which statement about the graph of y = 8(0.25)^x is true?

Accepted Answer

The coordinates of the y-intercept are (0, 8).

Answer

The coordinates of the x-intercept are (0.25, 0).

Answer

The equation of the asymptote is x = 0.

Answer

The graph includes the point (2, 1).

Question 42

Which graph best represents f(x) = 2(5)^x?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Algebra 1 End of Year Review

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