Free Printable LISD.18week.Algebra One Final Review .40

1.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

2.

The r²value of the quadratic regression of this table is ...

a)

r²=0.9789

b)

r²=0.9515

c)

r²=0.9754

d)

r²=0.9613

3.

Hudson is already 40 miles away from home on his drive back to college. He is driving 65 mi/h. Write an equation that models the total distance y after x hours.

a)

y = 40x + 65

b)

y = 65x + 40

c)

40x + 65y = 105

d)

y - 40 = 65(x - 0)

4.

When Phil started his new job, he owed the company $65 for his uniforms. He is earning $13 per hour. The cost of his uniforms is withheld from his earnings. Write an equation that models the total money he has y after x hours of work.

a)

y = 13x - 65

b)

y = 13x + 65

c)

13x - 65y = -52

d)

y - 65 = 13(x - 1)

5.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y +7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y+ 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

6.

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

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

7.

Write an equation
m = 5/4 through (-4, -3)

a)

y = 5/4x +2

b)

y = -5/4x + 2

c)

y = 2x - 5/4

d)

y = 3/4x + 2

8.

$-2\left(x+7\right)\le-8$

a)

$x\le3$

b)

$x\ge3$

c)

$x\ge-3$

d)

$x\le-3$

9.

6(n + 2) < -72

a)

n < -14

b)

n < 35/3

c)

n < -10

d)

∞

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

Convert
y = -2(x - 4)² + 2 into standard form.

a)

y= -2x² + 16x - 30

b)

y= -2x² - 16x - 30

c)

y= 2x² + 16x - 30

d)

y= -2x² + 16x + 30

13.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

14.

Which of the following is a function?

a)

A

b)

B

c)

C

d)

D

15.

A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180.

The following week, the bus had 50 people on board and the ferry charged them $220.

What is the rate of change (m) in this situation?

(a)

16.

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

a)

2

b)

4

c)

(2)^x

d)

8

17.

Is this exponential growth or decay?

a)

Growth

b)

Decay

18.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

19.

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

a)

Exponential Decay

b)

Exponential Growth

20.

What type of function is y = 7(5/4)^x?

a)

Exponential Growth

b)

Exponential Decay

21.

Does the following quadratic equation have a maximum or minimum value? How can you tell?

y=x²+2x-3

a)

Minimum value, because the a value is positive

b)

Maximum value, because the b value is positive

c)

Maximum value, because the a value is positive

d)

Minimum value, because the c value is negative

22.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

a)

125x + 55 ≤ 600

b)

125x + 55 ≥ 600

c)

125x + 55 > 600

d)

125x + 55 < 600

23.

The Bombetta Company wants to send a team of three representatives to a conference. Their budget is $700.00 plus $125.00 per day for expenses. If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

a)

125x + 700 ≥1,400

b)

700 + 125x ≤1,400

c)

700x + 125 ≤1,400

d)

125x - 700 ≤ 1,400

24.

The Bombetta Company wants to send a team of three representatives to a conference. Their budget is $700.00 plus $125.00 per day for expenses. If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

a)

125x + 700 ≥1,400

b)

700 + 125x ≤1,400

c)

700x + 125 ≤1,400

d)

125x - 700 ≤ 1,400

25.

$y=\frac{4}{5}x-3$

Describe the effects of multiplying the slope by -1 and changing the y-intercept such that b is greater than zero.

a)

The linear graph would change to an increasing functions which crosses the y-axis below the origin .

b)

The linear graph would change to a decreasing function which crosses the y-axis above the origin.

c)

The linear graph would change to a quadratic function which crosses the y-axis at a positive value.

d)

The linear graph would no longer be a function and would cross the y-axis at a negative value,

26.

Which statement is not true.

a)

The graph has a maximum of 1

b)

The graph has an solution at -1.646

c)

The graph has a y-intercept at 6.

d)

The graph has a root at 3.646

27.

What are the roots of the graph?

a)

-1.646,6

b)

3,646, 0

c)

-1.646, 3.647

d)

1,7

28.

What is the best estimate of the positive value of x for which this function equals 6?

a)

5

b)

6

c)

2

d)

3

29.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

a)

1s + 3c = 38
2s + 3c = 52

b)

3s + 1c = 38
3s + 2c = 52

c)

s + c = 38
s + c = 52

d)

3s + 3c = 38
1s + 2c = 52

30.

Jamal and DJ go bowling. Jamal knocks a total of 26 more pins than DJ. DJ knocks down three times as many as Jamal. How many did they knock down together?

a)

J + D = 26

D = J + 3

b)

J = D + 26

D = J + 3

c)

J = D + 26

D = 3J

31.

The brown bunny (x) ate 22 carrots more than the white bunny (y). The bunnies together had eaten a total of 60 carrots during the week. How many carrots did each bunny eat?

a)

x + y = 22

x = y + 60

b)

x + y = 60

x = y + 22

c)

x + y = 22

y = x - 22

d)

2x + y = 22

x = y + 60

32.

A water tank (t) holds 256 gallons but is leaking at a rate of 3 gallons (g) per week. A second water tank (t) holds 384 gallons but is leaking at a rate of 5 gallons (g) per week. After how many weeks will the amount in the two tanks be the same?

a)

3g + 5g = 640

W = 256 + 384

b)

W = 256 - 3g

W = 384 - 5g

c)

W = 256 + 3g

W = 384 + 5g

33.

Mackenzie and Ty have 18 markers. Ty has three times as many as Mackenzie. How many do they each have?

a)

M + T = 18

T = 3M

b)

3M + T = 18

M + T = 18

c)

M + T = 18

M = 3T

34.

What is the range?

a)

$f\left(x\right)\le7$

b)

$f\left(x\right)=\ge7$

c)

$f\left(x\right)=7$

d)

all real numbers

35.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

36.

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

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

37.

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.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

38.

What is the factored form of the quadratic function:

$y=3x^2-2x-1$

a)

$y=\left(3x+1\right)\left(x-1\right)$

b)

$y=\left(3x-1\right)\left(x-1\right)$

c)

$y=\left(3x-1\right)\left(x+1\right)$

d)

$y=\left(3x+1\right)\left(x+1\right)$

39.

What is the value of the y-intercept of the graph of $w\left(x\right)=6\left(\frac{3}{8}\right)^x$

(a)

40.

Which graph could represent a situation involving exponential growth?

a)

b)

c)

d)

LISD.18week.Algebra One Final Review .40

Total questions: 40

Worksheet time: 2hrs 19mins

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