wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Q2 Grade repair ALG

Total questions: 63

Worksheet time: 32hrs 30mins

Name
Class
Date
1.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

2.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

3.

Solve:
2(4x - 3) - 8 = 4 + 2x

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

4.

Solve the equation
12x - 15 = 3(2x + 3)

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

5.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

6.

S = 3F - 24  Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

7.

Solve for p
A = 12paA\ =\ \frac{1}{2}pa

a)

A12a = pA-\frac{1}{2}a\ =\ p

b)

2Aa=p\frac{2A}{a}=p

c)

A2a=p\frac{A}{2a}=p

d)

2Aa = p2A-a\ =\ p

8.

Solve for d
C = πdC\ =\ \pi d

a)

C  π=dC\ -\ \pi=d

b)

C + π=dC\ +\ \pi=d

c)

πC=d\pi C=d

d)

Cπ=d\frac{C}{\pi}=d

9.

Which of the following linear inequalities represents the graph?

a)

y3y\ge3  

b)

x3x\ge3  

c)

y3y\le3  

d)

y<3y<3  

10.

Which of the following linear inequalities represents the graph?

a)

y14xy\ge\frac{1}{4}x  

b)

y4x2y\le4x-2  

c)

y<14x+2y<\frac{1}{4}x+2  

d)

y14x+2y\le\frac{1}{4}x+2  

11.

Which of the following linear inequalities represents the graph?

a)

y14xy\ge\frac{1}{4}x  

b)

y4x2y\le4x-2  

c)

y<14x+2y<\frac{1}{4}x+2  

d)

y14x+2y\le\frac{1}{4}x+2  

12.

What inequality is graphed? 

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

13.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

14.

What inequality is graphed?

a)

x > 2 and x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

15.

|v + 8| − 5 = 2 

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

16.

Solve |2x –3| + 5 =10.

a)

-1, 1

b)

-1, 4

c)

-1, -4

d)

1, 4

17.

Solve for x

2 lx−4l + 8 = 18

a)

x = 9 and x = -1

b)

x = 1 and x = -9

c)

x= 4 and x = -2

d)

No Solution

18.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2/1

d)

-2/1

19.

State the slope of the line y = -2x + 2

a)

3

b)

-3

c)

2

d)

-2

20.

What is the y-intercept of the line shown?

a)

3

b)

-3

c)

2

d)

-2

e)

0

21.

Find the slope of a line that passes through the given points:

(5,1) and (8,3)

a)

m = 23m\ =\ \frac{2}{3}

b)

m = 23m\ =\ -\frac{2}{3}

c)

m = 32m\ =\ -\frac{3}{2}

d)

m = 32m\ =\ \frac{3}{2}

22.

Find the slope from the table.

a)

1/4

b)

-1/4

c)

-4/1

d)

4/1

23.

Which of these represents point-slope form of a linear equation?

a)

y - y1 = m(x - x1)

b)

Ax + By = C

c)

y = mx + b

24.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

25.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

26.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

27.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

28.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

7x + 2y = 9

d)

3x + 2 = y

29.

Put this into standard form:

3x = 7y - 5

a)

3x - 7y = -5

b)

3x - 7y = 5

c)

3x + 7y = 5

d)

3x + 7y = -5

30.

What is the definition of a function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

31.

Is the relation a function? Why?

a)

Yes, because the x-value 11 has two y-values paired with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values paired with it.

d)

No, because each x-value has only one y-value paired with it.

32.

Is this table a function or not a function? 

a)

Function

b)

Not a Function

33.

Is this graph a function or not a function? 

a)

Function 

b)

Not a Function

34.

Is this graph a function or not a function? 

a)

Function

b)

Not a Function

35.

Evaluate the function for f(9) if  f(x)=35x+8\ f\left(x\right)=\frac{3}{5}x+8  .

a)

675\frac{67}{5}  

b)

135-\frac{13}{5}  

c)

675-\frac{67}{5}  

d)

135\frac{13}{5}  

36.

Evaluate f(-2) if f(x) = x + 3

a)

-1

b)

1

c)

5

d)

-5

37.

Given the function, f, shown on the graph, what is the value of f(3)?

a)

0

b)

2

c)

6

d)

1

38.

Is the sequence arithmetic: 37, 31, 25, 19, ...

a)

Yes

b)

No

39.

Is the sequence arithmetic: 17, 9, 1, -7, ...

a)

Yes

b)

No

40.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

41.

Find the common difference: -18, -23, -28, -33, ...

a)

d = -5

b)

d = 5

c)

d = -3

d)

d = 3

42.

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

43.

Find a26 in the arithmetic sequence: -15, -35, -55, -75, ...

a)

-515

b)

-490

c)

-535

d)

460

44.

Find a20 in the arithmetic sequence: 5, 12, 19, 26...

a)

145

b)

144

c)

142

d)

138

45.

Find the next three terms for the geometric sequence:
64, 16, 4,...

a)

0, -4, -8

b)

1, ¼, 1/16

c)

1, -3, -7

d)

cannot be determined

46.

Find the common ratio for the geometric sequence:
64, 16, 4,...

a)

4

b)

-4

c)

¼

d)

47.

Determine the common ratio for the geometric sequence:
2, -12, 72, ...

a)

6

b)

-⅙

c)

-6

d)

48.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

49.

How many solutions will this system have? 

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

50.

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

51.
Solve using elimination. 
−4x − 4y = 0
  8x + 8y = 0 
a)
(−6, −4) 
b)
Infinite number of solutions  
c)
No solutions
d)
(6, 4) 
52.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
53.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
54.

Which point is a solution?

a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
55.

Identify all solutions for the system.

a)

(2, 3)

b)

(4, -2)

c)

(2, -4)

d)

(-2, 0)

56.

Which points are solutions to the system of inequalities. Select all that apply.

a)

(2,2)

b)

(0,0)

c)

(4,1)

d)

(0,1)

e)

(3,-1)

57.
Is this exponential growth or decay?
a)
Growth
b)
Decay
58.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
59.
What is the y -intercept of  y=3(4)x?
a)
1
b)
0
c)
4
d)
3
60.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
61.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
62.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
63.
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?
a)
9766
b)
9006
c)
9765
d)
5433