Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Alg 1 CCA Review

Total questions: 63

Worksheet time: 2hrs 4mins

Name
Class
Date
1.

Solve for x:

5x8=485x-8=-48  

x= ?



(a)  

2.

Solve for x:

2x+8=3x42x+8=3x-4  
x=?



(a)  

3.

Solve: 5(3x + 4) = 20

(a)  

4.

Solve:

-2(x-1) = 6

(a)  

5.

Solve for w:

2w59=11\frac{2w}{5}-9=11  

a)

w=50w=50  

b)

w=10w=10  

c)

w=32w=32  

d)

w=23w=23  

6.

solve for m:

23(9m6)=20\frac{2}{3}\left(9m-6\right)=20  

a)

m=4m=4  

b)

m=3m=3  

c)

m=2m=2  

d)

m=8m=8  

7.

Solve for x:

20=x36-20=\frac{x-3}{6}  

a)

x=123x=-123  

b)

x=117x=-117  

c)

x=13x=-\frac{1}{3}  

d)

x=29x=-29  

8.
The sum of three consecutive numbers is -30.  What is the smallest of the three numbers?
a)
-10
b)
-11
c)
-12
d)
-9
9.
Find four consecutive odd integers whose sum is 128.
a)
32, 34, 37, 38
b)
27, 29, 31, 33
c)
29, 31, 33, 35
d)
25, 27, 29, 31
10.

You have only nickels (x) and dimes (y) in your piggy bank. When you ran the coins through a change counter, it indicated you have 595 cents. Write an equation to represent this situation.

a)

5x + 10y = 595

b)

10x + 5y = 595

c)

.05x + .10y = 595

d)

y = 2x + 595

11.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
12.
Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
13.

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. If Will spent $26, write and solve a linear equation to find how many songs he downloaded.

a)

32 songs

b)

33 songs

c)

19 songs

d)

36 songs

14.

Solve for x:  xy=z\frac{x}{y}=z  

a)

y=xz

b)

x=zy

c)

x=z-y

d)

x=z+y

15.

V=lwhV=lwh  solve for h

a)

h=Vlwh=Vlw  

b)

h=lVwh=\frac{l}{Vw}  

c)

h=Vlwh=\frac{V}{lw}  

d)

h=wlVh=\frac{w}{lV}  

16.

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

a)

≤, ≥

b)

<, >

17.

Which number line shows the solution set to the inequality below?

x - 3 > -3

a)
b)
c)
d)
18.

What inequality does the number line graph represent. 

a)

x < 2

b)

x > 2

c)

x ≥ 2

d)

x ≤ 2

19.

2x < -3x + 15

a)

x > 3

b)

x > 15

c)

x < 3

d)

x < 15

20.

Solve: -1(2x + 4) ≥ 6

a)

x ≤ -5

b)

x ≥ -5

c)

x ≤ -1

d)

x ≥ -1

21.

Solve for a: |2a + 10| = 6

a)

a = 8, a = 2

b)

a = -8

c)

a = −2

d)

a = −8, a = −2

22.

|v + 8| − 5 = 2

a)

v= -15 , v= 15}

b)

v = -1 v = -5}

c)

no solution

d)

v = -1 , v= -15

23.


x+3>8\left|x+3\right|>8  

a)

No Solution

b)

All Real Numbers

c)

x < -11 or x > 5

d)

-5 < x < 11

24.


3+n2>5-3+\left|n-2\right|>5  

a)

 -6  n 10

b)

 -6 < n < 10

c)

n ≤ -6 or n ≥ 10

d)

n < -6 or n > 10

25.

x10+4>8\left|-x-10\right|+4>-8  

a)

no solution

b)

x > 2 or x < -22

c)

-22 < x < 2

d)

all real numbers

26.

What is the formula for finding slope?

a)

y=mx+by=mx+b

b)

Ax+By=CAx+By=C

c)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}

27.

Find the slope from the given points:

(3,-1) (4,7)

(a)  

28.
Which equation matches the graph?
a)
y= 0.5x - 5
b)
y= -0.5x - 5
c)
y= 0.5x + 5
d)
y= -0.5x + 5
29.
Which equation matches the graph?
a)
y= 3x - 5
b)
y= -3x - 5
c)
y= 3x + 5
d)
y= 3x + 5
30.

Given m = 3 and (-2 , 5) write the equation in point-slope form.

a)

y + 5 = 3 (x - 2)

b)

y - 5 = 3 (x + 2)

31.

Convert the following standard form equation to slope-intercept (y=mx+b).

a)

2y = -6x + 24

b)

y = -3x + 12

32.

Write the equation of the line parallel to y = 3x - 4/3 through the point (-1, 2) in slope-intercept form.

a)

y - 2 = 3 (x +1)

b)

y = 3x + 5

c)

y = 3x + 1

33.

What is the slope of the line that is perpendicular to y = 3/4x + 5/3?

Do not type any spaces

(a)  

34.

Find the equation of the line that passes through the points (1,3) and (2,4).

a)

y= -x + 4

b)

y= x + 2

c)

y= -x - 4

d)

y= x - 2

35.

Find the equation of a line that passes through the points

(2, 16) and (-1, 7)

a)

y= 3x + 10

b)

y= -3x + 4

c)

y= 1/3x + 22/3

d)

y= -1/3x - 22/3

36.

What type of line is the equation x = 8 ?

a)

vertical

b)

horizontal

c)

neither

37.

What type of line is the equation y = 10 ?

a)

vertical

b)

horizontal

c)

neither

38.

What is the equation of the line graphed?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

39.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

40.

Given the following relation, tell me the domain:

(3,5)(2,4)(1,0)(3,7)\left(3,5\right)\left(-2,4\right)\left(-1,0\right)\left(-3,7\right)  

a)

-3,-2,-1,3

b)

-3,-2,-1

c)

0,4,5,7

d)

4,5,7

41.

Given the following relation, tell me the range:

(3,5)(2,4)(1,0)(3,7)\left(3,5\right)\left(-2,4\right)\left(-1,0\right)\left(-3,7\right)  

a)

-3,-2,-1,3

b)

-3,-2,-1

c)

0,4,5,7

d)

4,5,7

42.

True or False: The following relation is a function:

(1,3)(0,3)(5,3)(3,3)\left(1,3\right)\left(0,3\right)\left(5,3\right)\left(-3,3\right)  

a)

True

b)

False

43.

True or False: The following relation is a function:

(1,5)(2,3)(3,0)(1,3)\left(-1,5\right)\left(-2,3\right)\left(3,0\right)\left(-1,3\right)  

a)

True

b)

False

44.

Given the following graph, determine if the relation is a function:

a)

Function

b)

Not a function

45.

Given the following graph, determine if the relation is a function:

a)

Function

b)

Not a function

46.

Evaluate f(-2) for the following function:

f(x)=4x+7f\left(x\right)=-4x+7  



(a)  

47.

Evaluate f(-5) for the following function:

f(x)=x3f\left(x\right)=-x-3  



(a)  

48.

Which sequence is NOT an arithmetic sequence?

a)

-7, -13, -19, -25,...

b)

-10, -6, -2, 2,..

c)

6, 8, 10, 12,...

d)

3, 15, 75, 375,...

49.

We will start with the explicit formula. Given the following sequence, state the first term and common difference.

Example 1:          4, 7, 10, 13, 16, …

a)

a1 = 3,   d = 4a_1\ =\ 3,\ \ \ d\ =\ 4    

b)

  a1 = 16,   d = 3a_1\ =\ 16,\ \ \ d\ =\ 3  

c)

  a1 = 4,   d = 3a_1\ =\ 4,\ \ \ d\ =\ 3  

d)

  a1 = 16,   d = 13a_1\ =\ 16,\ \ \ d\ =\ 13  

50.

Now, write the explicit formula for the given sequence.

Example 1:          4, 7, 10, 13, 16, …

a)

an = 4 + (n  1)(3)a_n\ =\ 4\ +\ \left(n\ -\ 1\right)\left(3\right)  

b)

an = 3 + (n  1)(4)a_n\ =\ 3\ +\ \left(n\ -\ 1\right)\left(4\right)  

c)

an = 7 + (n  1)(3)a_n\ =\ 7\ +\ \left(n\ -\ 1\right)\left(3\right)  

d)

an = 16 + (n  1)(4)a_n\ =\ 16\ +\ \left(n\ -\ 1\right)\left(4\right)  

51.

Write and explicit rule to model the following sequence:

Example 3:        -12, -7, -2, …

a)

an = 5 + (n 1)(12)a_n\ =\ 5\ +\ \left(n\ -1\right)\left(-12\right)  

b)

an = 12 + (n 1)(5)a_n\ =\ -12\ +\ \left(n\ -1\right)\left(5\right)  

c)

an = 5 + (n 1)(12)a_n\ =\ -5\ +\ \left(n\ -1\right)\left(12\right)  

d)

an = 12 + (n 1)(5)a_n\ =\ 12\ +\ \left(n\ -1\right)\left(-5\right)  

52.
Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...
a)
182
b)
176
c)
170
d)
-118
53.

Now, let's go backwards!!! Given the explicit formula, what is the first term?

an = 3 + (n  1)(2)a_n\ =\ 3\ +\ \left(n\ -\ 1\right)\left(2\right)  

(a)  

54.

Now, let's go backwards!!! Given the explicit formula, list the first five terms in order.

an = 3 + (n  1)(2)a_n\ =\ 3\ +\ \left(n\ -\ 1\right)\left(2\right)  

a)

2, 5, 8, 11, 14, ...

b)

3, 1, -1, -3, -5, ...

c)

3, 6, 9, 12, 15, ...

d)

3, 5, 7, 9, 11, ...

55.

Which of the following recursive formulas represents the given sequence.


4, 12, 20, 28, 36, ...

a)

a1=4a_1=4 , an=a(n1)3a_n=a_{\left(n-1\right)}\cdot3

b)

a1=4a_1=4 , an=a(n1)+8a_n=a_{\left(n-1\right)}+8

c)

a1=4a_1=4 , an=a(n1)8a_n=a_{\left(n-1\right)}-8

d)

undefined , an=a(n1)9a_n=a_{\left(n-1\right)}\cdot9

56.
Write the recursive formula for 6, 17, 28, 39, 50....
a)
an=an-1+11
a1=6
b)
an=an-1-4
a1=6
c)
an=an-1+9
a1=6
d)
an=an-1+6
a1=6
57.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
58.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
59.
Which conclusion is best supported by the scatterplot?
a)
As the length of a call increases, the cost of the call increases.
b)
As the length of a call increases, the cost of the call remains the same.
c)
As the length of a call increases, the cost of the call decreases.
d)
There is no relationship between the length of a call and the cost of the call.
60.
Which scatter plot shows a negative relationship?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
61.

Describe the association for the scatterplot based on data plotted.

a)

As the weeks increase, the amount of money on the gift card increases.

b)

As the weeks decrease, the amount of money on the gift card increases.

c)

There is no relationship between the time in weeks and the amount of dollars.

d)

As the weeks increase, the amount of money on the gift card decreases.

62.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
63.
Select the statement that best describes the line.
a)
The line is the line of best fit.
b)
The line is NOT a line of best fit because it does not pass through two points.
c)
The line is NOT a line of best fit because it does not go through the middle of the data set.
d)
The line is NOT a line of best fit because it does not go through the origin.