Free Printable Algebra: Concepts and Connections Final Exam Practice Test 1

1.

Find the x-intercepts of the equation f(x)=x²+2x-24

a)

(4,0) (-6,0)

b)

(0,-24)

c)

(6,0) (-4,0)

d)

(5,0) (0,0)

2.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

3.

What is the y-intercept of: y=7x²+2x -1

a)

(0, 1)

b)

(0, -1)

c)

(1, 0)

d)

(-1, 0)

4.

Which equation matches the graph?

a)

y=2(2)^x

b)

y=2(1/2)^x

c)

y=2^x

d)

y=1/2(2)^x

5.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

6.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

7.

x²- 14x - 51 = 0

a)

x= 17 and -3

b)

x= -17 and 3

c)

x= -17 and -3

d)

x = 17 and 3

8.

Simplify: $\sqrt{96}$

a)

$4\sqrt{6}$

b)

$3\sqrt{6}$

c)

$6\sqrt{5}$

d)

$6\sqrt{8}$

9.

Which equation matches the graph?

a)

A

b)

B

c)

C

d)

D

10.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

11.

What is the domain of this graph?

a)

{-2 ≤ x ≤ 4}

b)

{-5 ≤ x ≤ 4}

c)

{-4, 0, -2}

d)

{-4 ≤ x ≤ 2}

12.

What is the RANGE of this graph?

a)

-7 < x < 5

b)

-7 ≤ y < 5

c)

-3 < x < 1

d)

-3 ≤ y < 1

13.

Which example shows CAUSATION?

a)

Taller people have larger shoe sizes and shorter people have smaller shoe sizes.

b)

If you exercise, the calories burned per minute increases.

14.

Which of the following represents the solutions to the equation:
3x² + 4x – 20 = 0?

a)

0 and -20

b)

3.33 and -2

c)

-3.33 and 2

d)

-0.67 and -21.33

15.

Calculate the zeros of the quadratic.

a)

x = 6 and 3

b)

x = 1 and 0

c)

x = 0 and 3

d)

x = 3 and 1

16.

What is the domain of the parabola created by the ball?

a)

Domain : 0 ≤ d ≤ 280

b)

Domain : 0 ≤ h ≤ 150

c)

Domain : 0 ≤ d ≤ 570

d)

Domain : 0 ≤ h ≤ 280

17.

What is the range of the graph?

a)

All real numbers

b)

0 ≤ x ≤ 4

c)

0 ≤ x ≤ 2000

d)

0 ≤ y ≤ 2000

18.

What is the median/ Q2 of this box plot?

a)

20

b)

17

c)

15

d)

14

e)

12

19.

What is the Q1 of this box plot?

a)

20

b)

17

c)

15

d)

14

e)

12

20.

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t² + 64t + 960.
When did the ball hit the ground?

a)

10 seconds

b)

2 seconds

c)

5 seconds

d)

7 seconds

21.

A dolphin jumps from the water. The equation h = -16t² + 80t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

a)

1 foot

b)

5 feet

c)

96 feet

d)

100 feet

22.

A ball is thrown into the air with an upward velocity. Its height, h, after t seconds is given by the function below.
$h=-16t^2+64t+960$
How many seconds did it take for the ball to reach its maximum height?

Hint: look at the vertex and remember that x=seconds and y=height.

a)

1024 meters

b)

64 meters

c)

960 meters

d)

2 meters

23.

What is the missing term of the geometric sequence?

5, 15, ___, 135

a)

135

b)

25

c)

3

d)

45

24.

Pick the equation that is exponential decay

a)

y=2000(0.88)

b)

y=0.5(1.88)

25.

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

26.

What is the length of the segment? (Use the distance formula)

a)

6.3

b)

6.5

c)

6.7

d)

16

27.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

28.

Which of the following is the correct equation for the standard form quadratic: f(x) = x² + 4x + 3

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

29.

Which two lines are parallel?

a)

$y=\frac{3}{7}x-25$

b)

$y=\frac{3}{7}x+2$

c)

$y=\frac{7}{3}x-25$

d)

$y=3x+13$

e)

$y=7x+9$

30.

Are these lines parallel, perpendicular, or neither?
y = (1/2)x + 2
y = -2x + 13

a)

Parallel

b)

Perpendicular

c)

Neither

31.

Which line is the best line of best fit?

a)

a

b)

b

c)

c

d)

i don't see any lines

32.

Simplify

a)

b)

c)

d)

e)

33.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

34.

$3\sqrt{5}+2\sqrt{5}\ =\ ?,\ so\ the\ result\ is\ ?$

a)

$5\sqrt{10},\ irrational$

b)

$5\sqrt{5},\ irrational$

c)

$6\sqrt{5},\ irrational$

d)

$6\sqrt{10},\ irrational$

35.

$4\pi\ -\ 4\pi\ =\ ?,\ which\ is\ ?$

a)

rational

b)

irrational

36.

Convert to vertex form.

a)

y=-(x-5)² + 21

b)

y=-(x+5)² + 21

c)

y=-(x+10)² + 21

d)

y=-(x-10)² + 21

37.

a)

F

b)

G

c)

H

d)

J

38.

a)

A

b)

B

c)

C

d)

D

Algebra: Concepts and Connections Final Exam Practice Test 1

Total questions: 38

Worksheet time: 3hrs 8mins

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