Free Printable Algebra 1 Semester 2 Exam Review

Worksheets

Algebra 1 Semester 2 Exam Review

Total questions: 50

Worksheet time: 13hrs 30mins

Name

Class

Date

Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?

Is the sequence geometric? If so, identify the common ratio.

6, 12, 24, 48

yes, 2

yes, -2

yes, 4

Identify the common difference.
97, 86, 75, 64, ...

-11

-8

Given the sequence 7, 12, 17, ..., find the explicit equation.

t(n) = 5n +7

t(n) = 2n + 5

t(n) = 5n + 2

t(n) = 7n + 5

Given the sequence 8, 16, 32, ..., find the explicit equation.

t(n) = 4(2)ⁿ

t(n) = 8(2)ⁿ

t(n) = 2(4)ⁿ

t(n) = 2 + 4n

Given the explicit equation t(n) = 2(5)ⁿ, find the 7th term.

156,250

78,125

10,000,000

If the explicit equation for a sequence is t(n) = -8 + 3n, is 42 a term in the sequence?

Yes

Given the sequence 10, 1, -8,..., find the explicit equation.

t(n) = -9 + 19n

t(n) = 10 - 9n

t(n) = 1 + 9n

t(n) = 19 - 9n

Does the graph shown represent an arithmetic or geometric sequence?

Arithmetic

Geometric

10.

Write the explicit equation for the following sequence: 6, 24, 96,...

t(n) = 1.5(4)ⁿ

t(n) = 6(4)ⁿ

t(n) = 4(1.5)ⁿ

t(n) = 4(6)ⁿ

11.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

(1, 5)

(5, 1)

(0.25, 2)

∅

12.

Simplify the expression:
c⁴⋅c³=

^c12

c⁴⁺³

c⁷

13.

Simplify the expression: 3x²⋅x²=

3x²⁺²

3x⁴

14.

(2⁸)²

2¹⁶

2¹⁰

2⁶

2⁴

15.

16.

(5³x²y⁴)⁰

5xy

17.

w=em+y

Solve for y

$y=w-em$

$y=w+em$

$y=\frac{w}{em}$

$y=wem$

18.

$p=ax+g$ Solve for x

$x=ap+g$

$x=\frac{p-g}{a}$

$x=\frac{p+g}{a}$

$x=ap-g$

19.

Linear positive association

Nonlinear positive association

Linear negative association

Nonlinear negative association

20.

positive trend

negative trend

no trend

21.

What type of association does this graph have?

positive

negative

none

all of the above

22.

What type of association does this scatter plot represent?

positive linear association

negative linear association

no association

nonlinear association

23.

Estimate the correlation coefficient for this scatterplot.

A) r = -0.9

B) r = 1

C) r = 0.9

D) r = -1

24.

Estimate the correlation coefficient

r = 1

r = -1

r ≈ -0.8

r ≈ 0.8

r ≈ -0.5

25.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the multiplier?

^.08

^1.08

.92

26.

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

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

27.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

9766

9006

9765

5433

28.

What is the equation given by the data in the table?

y = 10(.5)^x

y = 20(.25)^x

y = 20(.5)^x

y = 10(.25)^x

29.

Find the equation of the line that passes through the points:
(-4, -2) and (-3, 5)

y = ¹/₇ x + 26

y = 7x + 26

y = -7x + 26

y = -7x - 26

30.

Find the equation of the line that passes through the points:

(3, 4) and (0, -5)

y = 3x + 5

y = -3x + 4

y = 3x - 5

31.

Factor the expression: w² - 15w - 54

(w + 6)(w - 9)

(w + 3)(w - 18)

(w + 2)(w - 27)

(w - 6)(w + 9)

32.

Factor the expression: 21z² - 70z + 49

7(3z - 7)(z - 1)

7(3z + 7)(z + 1)

7(3z - 7)(z + 1)

7(3z + 7)(z - 1)

33.

Factor the expression: x² + 21x + 38

(x + 1)(x + 38)

(x + 2)(x + 19)

(x - 1)(x - 38)

(x - 2)(x - 19)

34.

Factor:
x²- 25

( x + 5 ) ( x - 5 )

( x - 5 ) ( x - 5 )

( x + 5 ) ( x + 5 )

Prime

35.

Find the zeros of this quadratic.

b=4/5, b=3

b=4, b=-3

b=1/5, b=3

b=4/5, b=-3

36.

-2, 4

-8

±8

No real solution

37.

What are the roots of the function?

{4, -1}

{-4, 1}

-4

38.

What are the factors AND solutions of x² + 2x – 3 = 0

{2,-1}

{-1,3}

{-2,1}

{1,-3}

39.

Use the picture to find the vertex and axis of symmetry

Vertex (3,8) Axis x = 3

Vertex (3,8) Axis y = 3

Vertex (8,3) Axis x = 3

Vertex (8,3) Axis y = 3

40.

Match the graph with its inequality.

a > 11

a < 11

a ≥ 11

a ≤ 11

41.

When you graph an inequality, you used a closed dot when you use which symbols?

≤, ≥

<, >

≤, <

≥, >

42.

Pick the correct letter for:
6 > x

43.

Which is the solution of
-6a ≥ -36

a ≥ 6

-6 ≥ a

a ≤ 6

6 ≤ a

44.

Solve:
-8(x - 3) - 4x < 108

x > -38

x > -14

x > -7

x < -38

45.

Solve the inequality.
x + 5 ≤ 13

x ≥ 8

x ≥ 18

x ≤ 8

x ≤ 18

46.

Which of the following inequalities matches the given graph?

y ≤ -3/4 x + 3

y ≥ -3/4 x + 3

y < -3/4 x + 3

y > -3/4 x + 3

47.

Write the inequalities

y≥-2x+3
y≤x-3

y>2x+3
y≥x-3

y>-2x+3
y≥x-3

y<-2x+3
y≤x-3

48.

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:

p= -15x² +600x +60

What is the maximum profit you can make from selling tickets?

$6060

$20

$600

$10,250

49.

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t² + 80

About how long did it take for the balloon to hit the ground?

1.73 seconds

2.24 seconds

2.45 seconds

2.83 seconds

50.

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :

h(t) = -16t² + 40t + 10

How many seconds does it take the ball to reach its maximum height?

1.25 seconds

1.4 seconds

2.5 seconds

2 seconds

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Algebra 1 Semester 2 Exam Review

Total questions: 50

Worksheet time: 13hrs 30mins

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